Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±five divided by four times x..

Answers

Answer 1

Answer:

The equation of the hyperbola in standard form is

[tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]

Step-by-step explanation:

* We will take about the standard form equation of the hyperbola

- If the given coordinates of the vertices (0 , a) and (0 , -a)

∴ The transverse axis is the y-axis. (because x = 0)

- If the given asymptotes at y = ± (b/a) x

∴  Use the standard form  ⇒ y²/a² - x²/b² = 1

* Lets use this to solve our problem

∵ The vertices are (0 , 10) and (0 , -10)

∴ a = ±10

∴ a² = 100

∵ The asymptotes at y = ± 5/4 x

∴ ± 5/4 = ± b/a

∵ a = ± 10

∴ ± 5/4 = ± b/10 ⇒ using cross multiplication

∴± (4b) = ± (5 × 10) = ± 50 ⇒ divide both sides by 4

∴ b = ± 25/2

∴ b² = 625/4

* Now Lets write the equation

* y²/100 - x²/(625/4) = 1

∵ x² ÷ 625/4 = x² × 4/625 = (4x²/625)

∴ y²/100 - 4x²/625 = 1

* The equation of the hyperbola in standard form is

  [tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]


Related Questions

How much money has to be invested at 2.9% interest compounded continuosly to have 34,000 after 18 years

Answers

Answer:

[tex]\$20,173.31[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=18\ years\\ A=\$34,000\\ r=0.029[/tex]  

substitute in the formula above  

[tex]34,000=P(e)^{0.029*18}[/tex]  

[tex]P=34,000/((e)^{0.029*18})=\$20,173.31[/tex]  

What is the attribute being measured?


A)

inches



B)

height



C)

overweight males



D)

number of adult males

Answers

Answer:

What is the attribute being measured?

A)  inches  

B)  height  

C)  overweight males  

D)  number of adult males

Step-by-step explanation:

Answer:It´s B, just did the assessment.

Step-by-step explanation:

Explain how to use multiplication to find 4÷1/5=

Answers

Final answer:

To find 4 divided by 1/5, multiply 4 by the reciprocal of 1/5, which is 5, resulting in an answer of 20.

Explanation:

To solve the division problem 4 ÷ 1/5, you can utilize multiplication by the reciprocal of the fraction. Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, the reciprocal of 1/5 is 5/1, because when you flip the numerator and denominator of 1/5, you get 5.

Now, you can rewrite the original equation as a multiplication problem: 4 × 5/1. When you multiply fractions, you multiply the numerators with numerators and the denominators with denominators. Since the denominator of 5/1 is 1, multiplying by it doesn't change the value of the numerator. Thus, multiplying 4 by 5 gives you the answer 20.

What is the approximate area of the shaded region under the standard normal curve below?

Answers

Answer:

0.14

Step-by-step explanation:

Garth has x books which is 20 more books than Henrietta has. If Garth gives Henrietta 7 books how many books does Henrietta now have

Answers

Answer:

she should have x-27 books left

Step-by-step explanation:

The number of books Henrietta has is x-13.

Given that, Garth has x books which are 20 more books than Henrietta has.

We need to find out how many books Henrietta now has.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the number of books with Garth has =x

The number of books with Henrietta has =x-20

Garth gave Henrietta 7 books =x-20+7

=x-13

Therefore, the number of books Henrietta has is x-13.

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PLEASE HELP : A cylindrical fish tank has a base radius of 7 inches . The volume of the tank is approximately 3,080 cubic inches . What is the approximate height of the fish tank A) 62 in. B) 20 in C) 11in D) 10 in

Answers

Answer: B) 20 in

I plugged it into a calculator for this specific formula.

A car travels 55.9 in an hour. If the car continues at the same speed, for 12 hours how many will it travel?

Can someone help me please

Answers

Answer:

670.8

Step-by-step explanation:

55.9x12=670.8

What is the center of the circle given by the equation (x−6)2+(y+3)2=72?
A. (-6, 3)
B. (-3, 6)
C. (6, -3)
D. (6, 7)

Answers

this coming off the top of my head but it's either C or A


A map has a scale of 1:25 000.

David walks 3.5 km in real life.

How far will this be on the map?

Answers

Answer:

250 m

Step-by-step explanation:

Final answer:

To find how far 3.5 km will be on a map with a scale of 1:25,000, convert the distance to meters (3,500 m) and then divide by the scale factor (25,000) to get the map distance, which is 14 centimeters.

Explanation:

When working with map scale, it's essential to understand how to convert distances on a map to actual distances in the real world. In this particular case, we have a map with a scale of 1:25,000, which means that 1 unit on the map is equivalent to 25,000 units in real life. David has walked a distance of 3.5 km in reality, and we need to calculate how far this would be represented on the map.

To convert David's actual walking distance to the map distance, we first need to express the 3.5 km in the same unit that is used in the map scale, which is meters. Since 1 km equals 1,000 meters, David walked 3,500 meters. Simply divide the actual distance walked by the scale factor to find the distance on the map:

Map distance = Actual distance / Scale

Map distance = 3,500 meters / 25,000

Map distance = 0.14 meters

Map distance = 14 centimeters

Thus, on the map, David's 3.5 km walk will be represented by a line that is 14 centimeters long.

Which of the following relations is a function?

A.
(1, 4), (-3, 6), (1, 3), (-7, 2)

B.
(1, 0), (-3, 3), (7, 1), (-3, 5)

C.
(1, 4), (-3, 2), (7, 1), (-7, 2)

D.
(7, 1), (-3, 4), (1, 1), (7, 2)
this is study island understanding functions

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

Look at the X values for each coordinate pair. If an X value is represented twice with different Y values, it is not a function. If no X value is repeated, or it is repeated but has the same Y value, then it is a function. A has two values for x = 1, B has two values for x = -3, D has two values for x = 7, but C does not, so it is the correct answer.

The first term of a Geometric progression is 16 and the fifth term is 9. what is the values of the seventh term?​

Answers

Answer:

18

Step-by-step explanation:

I need to find the volume of the shapes. Can you help me on 5and6.

Answers

Answer:

5. 96 ft³

6. 108 cm³

Step-by-step explanation:

I will answer in spite.

5. To find the volume, seperate the figure into two separate rectangles (one long one along the bottom, and one small one sitting on top).

The volume of rectangle one is 4ft × 9 ft × 2ft = 72 ft³.

The volume of rectangle two is 4ft × 3ft × 2ft = 24 ft³.

72 ft³ + 24 ft³ = 96 ft³.

6. Patty treated the figure as two separate rectangles with the dimensions 2x3x11 and 2x3x10, not taking into account the space where the rectangles meet.

She should have calculated (2x3x11) + (2x3x7), which is 108 cm³.

You're welcome Mr. Harvard.

Write the equation that represents the line use exact numbers

Answers

Answer:

[tex]y=1.5x+3[/tex]

Step-by-step explanation:

Observing the graph

Let

[tex]A(0,3)[/tex] -----> this point is the y-intercept of the line

[tex]B(2,6)[/tex]

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

[tex]b=3[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{6-3}{2-0}[/tex]

[tex]m=\frac{3}{2}[/tex]

[tex]m=1.5[/tex]

The equation of the line is

[tex]y=1.5x+3[/tex]

Final answer:

The equation of the line that passes through the points (0, 3) and (2, 6) is y = 1.5x + 3. The slope (m) is calculated as 1.5 and the y-intercept (b) is 3.

Explanation:

To find the equation of a line that passes through two points, you'll first have to find the slope (m), and then find the y-intercept (b). Linear equations are typically represented in the form y = mx + b, where m is the slope and b is the y-intercept.

The line passes through points (0, 3) and (2, 6). To calculate the slope m, we use the formula (y2-y1)/(x2-x1). Plugging in our points, we get (6-3)/(2-0) = 1.5. This is our slope.

Next, we want to use the formula  y = mx + b to calculate b. Since the line passes through the point (0,3), we know that when x = 0, y = 3. Plugging these values into the equation along with our determined slope, we get 3 = 1.5*0 + b. Solving for b reveals that our y-intercept is 3.

Therefore, the equation for this line appears as: y = 1.5x + 3.

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3. What is the area of the figure below? O26 in. 27 in. 52 in.2 54 in.2

Answers

Answer:

26 in²

Step-by-step explanation:

area of triangle half base times height

gives you 20 and 6

Yasmin has a bag containing 165 colored beads. Her classmates take turns selecting one bead from the bag without looking, recording the color in the table, and replacing the bead. Based on the table, about how many beads of each color are in Yasmin’s bag? Enter your answers in the boxes. Color Red Brown Orange Yellow Number of Beads 10 15 17 13 red, brown, orange, yellow

Answers

Answer:

30 , 45 , 51 , 39

Step-by-step explanation:

You just add up the numbers until you get 165

Answer:

Number of beads of each color in Yasmin's bag is:

  Red--   30

  Brown--  45

 Orange-- 51

Yellow--  39

Step-by-step explanation:

The record of experiment are as follows:

Color                    Red            Brown       Orange  Yellow

Number of Beads     10           15              17      13

Total number of beads recorded=10+15+17+13=55 beads

Also, the Probability of Red bead is=10/55

Probability of Brown bead is=15/55

Probability of Orange bead is=17/55

Probability of Yellow bead is=13/55

Number of red beads in Yasmin's bag are:

[tex]\dfrac{10}{55}\times 165=30[/tex]

Number of brown beads in Yasmin's bag are:

[tex]\dfrac{15}{55}\times 165=45[/tex]

Number of orange beads in Yasmin's bag are:

[tex]\dfrac{17}{55}\times 165=51[/tex]

Number of yellow beads in Yasmin's bag are:

[tex]\dfrac{13}{55}\times 165=39[/tex]

At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be two selections there are two anwsers!

Answers

Answer:

[tex]x=\frac{\pi}{2}[/tex]  and  [tex]x=\frac{3\pi}{2}[/tex]

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

Note: The identity  [tex]cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)[/tex]

[tex]cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]

So they intersect at  [tex]x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]

Answer:

x=pi/2 and x=3pi/2

Step-by-step explanation:

Hey I need help plz help me now 13points

Answers

Answer:

1

Step-by-step explanation:

common denominator is 12

6 11/12 - (2 3/12 + 3 8/12)

6 11/12 - 5 11/12

1

Given the geometric sequence where a1=3 and the common ratio is -1, what is the domain for n?

Answers

Answer:

  natural numbers: integers n for n ≥ 1

Step-by-step explanation:

As it is for any sequence, the domain of term numbers (n) is the positive integers, the natural numbers.

__

In general, the domain of any "n' that represents something being counted will be the counting numbers. These are also referred to as "natural numbers" or "positive integers." For integer n, n ≥ 1.

__

Additional comment

The geometric sequence described in this problem statement is represented by the exponential function ...

  a(n) = 3(-1)^n

This evaluates to a real number (3 or -3) for all integer values of n, and for some fractional values of n. In the complex numbers, the function is defined for all real and complex values of n.

Answer:

All integers where n ≥ 1

Step-by-step explanation:

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A scientist needs 70 liters of a 40% solution of alcohol. He has a 30% and a 60% solution available. How many liters of the 30% and how many liters of the 60% solutions should he mix to make the 40% solution?

Answers

Hello!

The answer is:

There are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

Why?

We can solve this problem creating a system of equations. Let's make the two equations that will help us to solve the problem.

From the statement we know that a solution of 70 liters of a 40% is needed, and there are two differents solutions available, of 30% and 60% and we need to use them to make 70 liters of a  40% solution, so:

So:

[tex]30(Percent)SolutionVolume=X\\60(Percent)SolutionVolume=Y[/tex]

If both solutions will make a 70 liters solution, so the first equation will be:

[tex]x+y=70L[/tex]

Let's work with real numbers converting the percent values into real numbers by dividing it into 100, so:

[tex]30(Percent)=\frac{30}{100}=0.3\\\\40(Percent)=\frac{40}{100}=0.4\\\\60(Percent)=\frac{60}{100}=0.6[/tex]

Then, we know that both solutions will make 70 liters of a 40% solution, so the second equation will be:

[tex]0.30x+0.60y=0.4*70[/tex]

Therefore, from the first equation we have:

[tex]x=70-y[/tex]

Then, substituting x into the second equation to find y, we have:

[tex]0.30(70-y)+0.60y=28\\21-0.30y+0.60y=28\\0.3y=28-21\\y=\frac{7}{0.3}=23.33[/tex]

Hence, substituting y into the first equation to find x, we have:

[tex]x=70-y=70-23.33=46.67[/tex]

So, there are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

Have a nice day!

Final answer:

To prepare 70 liters of a 40% alcohol solution, a scientist should mix equal amounts of the 30% and 60% alcohol solutions that are available. In this case, the scientist would need to mix 35 liters of the 30% solution with 35 liters of the 60% solution.

Explanation:

To solve the problem, we need to set up a system of equations based on the volumes and concentrations of the alcohol solutions. Let's define x as the volume in liters of the 30% alcohol solution and y as the volume in liters of the 60% alcohol solution.

First, we know that the total volume of the two solutions must add up to 70 liters:

x + y = 70

Second, we also know that the total amount of pure alcohol in the final 40% solution must be 40% of 70 liters. We can express the amount of pure alcohol in the 30% solution as 0.30x and in the 60% solution as 0.60y. The equation representing the alcohol concentration is:

0.30x + 0.60y = 0.40 × 70

Next, we solve these equations simultaneously to find the values of x and y.

Multiply the second equation by 10 to clear out decimals: 3x + 6y = 280.Subtract the first equation from this new equation to eliminate y: 2y = 210, so y = 105.Since the total volume is 70 liters, x + 105 = 70, which means x = -35. However, a negative volume doesn't make sense, so there must have been a mistake. Let's correct it and find the right value for x.From the corrected second equation 3x + 6y = 280, we rewrite it as x = (280 - 6y) / 3.Substitute y = 70 - x into the equation: x = (280 - 6(70 - x)) / 3.Simplify and solve for x to find that x = 140/4 = 35 and y = 70 - x = 70 - 35 = 35.

Therefore, the scientist needs 35 liters of the 30% alcohol solution and 35 liters of the 60% alcohol solution to make a 40% solution.

Tickets for a concert have been and incredibly high demand and as the date for the concert draws closer the price of tickets increases exponentially. The cost of A pair of concert tickets was $150 yesterday, and today is $162. As you complete the parts below, assume that each days percent increase from the day before is the same

Answers

Final answer:

The question involves understanding exponential growth in Mathematics. The cost of concert tickets is increasing by 8% each day, as calculated using the given prices for two successive days.

Explanation:

The student's question pertains to exponential growth, a concept in Mathematics. Here, the increase in the cost of tickets is an example of exponential growth, where the growth rate is proportional to the current value. You can determine the daily percentage increase by using the formula for exponential growth:[tex](today's cost / yesterday's cost) ^ (^1^ /^ n^u^m^b^e^r^ o^f^ d^a^y^s^ b^e^t^w^e^e^n ^t^h^e^ d^a^t^e^s^) - 1.[/tex]

Here, the cost of the concert was $150 yesterday, and today it is $162. Insert these amounts into the formula, and we get [tex](162 / 150) ^ (^1^ /^ 1^) - 1[/tex]= 0.08 or 8%. Therefore, the ticket prices increase by 8% daily.

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To determine the daily percent increase in the price of concert tickets, use the exponential growth formula. The tickets increased from $150 to $162 in one day, resulting in a calculated daily percent increase of 8%.

The student asked: Tickets for a concert have been in incredibly high demand, and as the date for the concert draws closer, the price of tickets increases exponentially.

A pair of concert tickets cost $150 yesterday, and today is $162. As you complete the parts below, assume that each day's percent increase from the day before is the same.

To find the daily per cent increase, we assume an exponential growth model where ticket prices grow by a constant percentage each day.

Let's denote yesterday's price as P₀ = 150 and today's price as P₁ = 162.

Step-by-Step Explanation:

Define the exponential growth formula: P₁ = P₀ * (1 + r), where r is the daily rate of increase.

→ Substitute the known values into the formula: 162 = 150 * (1 + r).

→ Solve for the rate r: Divide both sides of the equation by 150 to isolate (1 + r).162 / 150 = (1 + r), simplifying to 1.08 = 1 + r.

→ Subtract 1 from both sides to solve for r: r = 0.08.

→ Convert the rate to a percentage: r = 0.08 * 100

                                                          = 8%.

Therefore, the daily percent increase in the price of the concert tickets is 8%.

Mike is renting a boat. The hourly rental fee is the same per hour for any boat. Mike paid $50 to rent a canoe, and then $25 to rent a kayak. which is the dependent variable in the situation!​

Answers

Answer:

The dependent variable is the cost of renting a boat

Step-by-step explanation:

Let

x-----> the number of hours

y----> the cost of renting a boat

In this problem

The independent variable is the number of hours

The dependent variable is the cost of renting a boat

Answer:

cost

Step-by-step explanation:

Janice bought her mother a bunch of 10 flowers two of the flowers are daisies one half of the remaining flowers are tulips write the fraction of the flowers that are daisies

Answers

Answer:

2/10 or 1/5 of the flowers are daises.

4/10 of the flowers are tulips.

Since there is 10 flowers, that will be your denominator. 2 out of the ten flowers, so 2 is your numerator. There is 8 flowers left over and half of that is 4.

which equation represents the pattern in the table below
a.) s = c+4
b.) s= 4c
c.) c= s + 4
d.) c= 4s

Answers

The correct answer is

3) c = s + 4

Answer:

C=s+4

Step-by-step explanation:

Hope this helps!

I am having a hard time simplifying (x^2 - 4x + 8)(2x - 1), can you help me out?

Answers

Answer:

2x^3 +3x^2 + 12x - 8

Step-by-step explanation:

(x^2- 4x + 8)(2x-1)

we expand the notation by using (2x-1)

2x(x^2 - 4x + 8) -1(x^2- 4x +8)

= 2x^3 -8x^2 +16x -x^2 + 4x -8

collect like terms

2^3 - 8x^2 - x^2 +16x + 4x -8

2x^3 + 7x^2 + 20x - 8

Jada makes sparkling juice by mixing 2 cups of sparkling water and 3 cups of apple juice.

Let s represent the number of cups of sparkling water and j represent the number of cups of apple juice . Write an equation that shows how s and j are related.
-Please comment equation or explanation.

Answers

Answer:

Step-by-step explanation:

So what you do is

1 cup = 8 fluid ounces

(Don’t use that)

So you is

“Since 1 cup= 8 fluid ounces, what you do is multiply by 2. 8 times 2 is 16 , 3 times 8 is 24. 24+16 is 40” there’s your answer

Final answer:

The equation that shows the relation between the cups of sparkling water (s) and apple juice (j) mixed by Jada is 2s = j, meaning that the quantity of apple juice is always twice the quantity of sparkling water.

Explanation:

In the question provided, we're given that Jada makes her sparkling juice by mixing 2 cups of sparkling water and 3 cups of apple juice. Let's define s as the number of cups of sparkling water, and j as the number of cups of apple juice. Given this, the equation that shows how s and j are related is 2s = j. This equation expresses that the quantity of apple juice (j) is always twice the quantity of sparkling water (s).

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PLEASE HELP WITH MY MATH

1. What is thw width of a rectangular room with a area of 90 square feet and a length of 9ft?

2. What is the width of a rectangular swimming pool with a rea of 180 square feet and a width of 12 feet?

3. What is the perimeter of a rectangular rose garden that mesures 8 meters by 10meters

4. What is the width of a rectangular ping pong table that messures 8ft in length with a area of 32 square feet?

Answers

1. 10 ft

2. 15 ft

3. 36 meters

4. 4 ft

Hope this helps!

Helpp
Given: m AB =32°, AC ≅BC, tangent AS

Find: m∠CAO, m∠SAC

Answers

Answer:

m∠CAO=8º

m∠SAC=82º

Step-by-step explanation:

We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.

OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.

Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.

To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.

what is the total surface area for a rectangular prism with dimensions of 7 cm 2cm 8cm in square centimeters​

Answers

Answer:

172 cm^2

Step-by-step explanation:

Since it is a rectangular prism, you would have 6 sides, with two of them being the same. Each side is the values but multiplied by each other. So 7x2, 8x2, and 7x8. If you add them up it would be 14+16+56= 86, but that is only 3 sides, so you need to multiply 86 by 2, thus 172.

Explanation please how to do it

Answers

Answer:

I can't see the whole problem but if it says how many times per week does he practice it would be 13 times

Step-by-step explanation:

9 3/4 divided by 3/4.

39/4 times 4/3=13

Help 30 Points! Show ALL Work! Image Attached.

Answers

Answer:

a. x = 13

b. x = 7

c. x = 24

d. x = Undefined

Step-by-step explanation:

Since all the bases are the same the power it is raised by is equivalent to the sum's power.

In mathematical terms

.

.

x^a + x^b = x^a+b

So all we have to do is add up the exponents and make them equivalent to each other.

For the last question, it is impossible since the powers added cannot ever be equal to each other.

9+x can never equal 4+x so it is undefined.

Other Questions
What scientific term is a well-tested explanation for a set of observations or experimental results? The graph of a quadratic function has a minimum at (0, 2). The graph contains the point (-3, 11). What is another point on the graph? Barriers to change can be found inA.borderless departments.B.functional corporate cultures.C.agile departments.D.dysfunctional corporate cultures. Read the excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde. The butler was awaiting my arrival; he had received by the same post as mine a registered letter of instruction, and had sent at once for a locksmith and a carpenter. The tradesmen came while we were yet speaking; and we moved in a body to old Dr. Denmans surgical theatre, from which (as you are doubtless aware) Jekylls private cabinet is most conveniently entered. The door was very strong, the lock excellent; the carpenter avowed he would have great trouble and have to do much damage, if force were to be used; and the locksmith was near despair. But this last was a handy fellow, and after two hours work, the door stood open. How does the complication affect the story? It resolves the story. It delivers exposition. It introduces a theme. It intensifies the conflict. What is a potential negative consequence of using genetically engineered medicine Select the best option to complete the sentence: A whole contains ________ -fourth(s). Jim, who has an internal locus of control, failed his last history test. jim is apt to respond to the failing grade by Solve the triangle given two side lengths and one angle measure. 1. What are some benefits of web-based applications A. Convenience, compatibility, multiple platforms B. Price, requires installation, stays up-to-dateC. Stays up-to-date, multiple platforms, no browser needed2. Jeffrey would like to send a monthly newsletter to each person signed up to receive online communication which tool would be best?A. ListserverB. Social mediaC. Web page 3. A ____ network is useful for connecting a small network A. Campus areaB. Local areaC. Wide area 4. What does a URL ending in .edu indicate A. Academic institutionB. Commercial siteC. Government agency 5. Adelle is having trouble connecting her new tablet to the internet which resource would be best and why?A. FAQ; answers common questions B. Scholarly article; explains current research Why was the American Declaration of Independence used in other revolutions around the world? A. because it gave reasons for changes in the principles of government B. because it ended the practice of colonialism C. because it proved that all races are equal D. because it explained why all other governments are bad A rectangle field has side lengths that measure 5/6 mile and 1/3 mile . What is the area of the field ? An example of an externally identified problem would be management voicing concern about the organization's lack of a competitive edge in the marketplace. a. True b. False Drag each angle measure to the correct location on the image. Each angle measure can be used more than once. find the area of rectangle 7 cm long 3 cm wide give a unit of measurement Mis hermanastros son los ____ de mi madrastra A.primos B.hermanos C. Padrastros D.hijos a reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer than the side along the building. the third side is 7 feet longer than the side along the building. find the length of all three sides of the reflecting pool What volume of 0.12M Ba(OH)2 is needed to neutralize 12.2 mL of 0.25M HCl? 25 ml 13 ml 50ml 125 ml MARKING BRAINLIEST FOR CORRECT ANSWERMatch each part of a story to a plot element.expositionrising actionclimaxfalling actionresolutionMatch each part of a story to a plot element.The names of the winning couple are announcedRyan and Cora.Cora cries tears of joy.The crowd cheers the couples onthe dance floor. Ryan and Cora aredancing well, but Cora feels stabs ofpain. Still, she is determined not tolet Ryan down.Ryan and Cora walk to the schoolgym. They are ready to compete inthe dance contest.Cora sprains her ankle while climbingthe stairs. Ryan gets her an aspirinfrom the first aid station.Ryan notices Cora struggling and helpsher by improvising. He performs lifts thatallow Cora to keep her feet off the groundduring the last bit of their performance. 15. An ear hematoma associated with otitis externa is most often found A. in the middle ear. B. on the eardrum. C. in the external auditory canal. D. on the underside of the pinna. A 111.6 g sample of iron was heated from 0C to 20C. It absorbed 1004 J of energy. What is the specific heat capacity of iron? Steam Workshop Downloader