Identify the perimeter and area of an equilateral triangle with height 12√2 cm. Give your answer in simplest radical form. HELP PLEASE!!!

Identify The Perimeter And Area Of An Equilateral Triangle With Height 122 Cm. Give Your Answer In Simplest

Answers

Answer 1

Answer:

perimeter = 24√6 cmarea = 96√3 cm²

Step-by-step explanation:

The edge length (s) of an equilateral triangle is (2/3)√3 times the height. This means the edge length of your triangle is ...

... s = (2/3)√3 × 12√2 = 8√6

The perimeter is 3 times the side length:

... p = 3s = 3×8√6 = 24√6 . . . cm

The area is half the product of edge length and height:

... a = (1/2)sh = (1/2)(8√6)(12√2) = 48√12 = 96√3 . . . cm²

Answer 2

The perimeter of the equilateral triangle is 24√6 cm, and its area is 96√3 cm².

To find the perimeter and area of an equilateral triangle with a given height, we can follow these steps:

First, let's denote the side length of the equilateral triangle as a. In an equilateral triangle, the height (h) can be found using the formula:

h = (a√3)/2

We know the height is 12√2 cm. Therefore,12√2 = (a√3)/2

To find the side length a, we can rearrange the equation: a = 2 * 12√2 / √3

Simplify the expression: a = 24√2 / √3

Multiplying numerator and denominator by √3 to rationalize the denominator: a = 24√6 / 3

a = 8√6

Now, the perimeter (P) of the equilateral triangle is given by: P = 3a

Substitute the value of a: P = 3 * 8√6

P = 24√6 cm

Next, we calculate the area (A) using the formula: A = (base * height) / 2

In an equilateral triangle, the base is equal to the side length a, and the height is given as 12√2 cm:

A = (8√6 * 12√2) / 2

Multiplying the bases and simplifying: A = (96√12) / 2

Since √12 can be simplified to 2√3: A = (96 * 2√3) / 2

A = 96√3 cm²

The perimeter of the equilateral triangle is 24√6 cm, and its area is 96√3 cm².


Related Questions

Please help me!!!!!!

Answers

Answer: 243, 729

Step-by-step explanation:

1, 3, 9, 27, 81    is a geometric sequence where r = 3

a₁ = 1

a₂ = 1 x 3 = 3

a₃ = 3 x 3 = 9

a₄ = 9 x 3 = 27

a₅ = 27 x 3 = 81

To find the next two terms, multiply the previous term by 3:

a₆ = 81 x 3 = 243

a₇ = 243 x 3 = 729

If $a$, $b$, $c$, and $d$ are replaced by four different digits from $1$ to $9$, inclusive, then what's the largest possible value for $a.Bc + 0.D$ ?

Answers

The largest possible value for (a.bc + 0.d) is (10.56).

The largest possible value for (a.bc + 0.d) when (a), (b), (c), and (d) are replaced by four different digits from 1 to 9, inclusive, can be found by selecting the largest digits for (a), (b), and (c), and the smallest digit for (d).

This results in the number (9.86 + 0.7), which equals (10.56).

Therefore, the largest possible value for (a.bc + 0.d) is (10.56).

Complete question:

If a,b,c,d are replaced by four different digits from 1 to 9, inclusive, then what's the largest possible value for a.bc + 0.d ?

Write the sentence as an inequality. 14 is no less than 8 times a number x plus 6.

Answers

Greetings!

Answer:

[tex]x \leq 1[/tex]

Step-by-step explanation:

Multiplying 8 by x can be written as 8x, and +6 on end:

8x + 6

Because it says 14 is no less than, the equal to or more than sign needs to be used:

[tex]8x + 6 \leq 14[/tex]

The -6 can be moved over to the other side making it a -6:

[tex]8x \leq 14 - 6[/tex]

[tex]8x \leq 8[/tex]

Simplify by dividing both sides by 8:

[tex]x \leq 1[/tex]

Which is the inequality!


Hope this helps!

Answer:

The given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].

Step-by-step explanation:

It is required to write the sentence as an inequality.

The given sentence is "14 is no less than 8 times a number x plus 6".

The given statement can be written as " 14 can be equal or more than 8 times a number x plus 6"

Now, in the inequality form, the statement will be,

[tex]14\geq 8x+6[/tex]

Solve the above inequality as,

[tex]14\geq 8x+6\\8\geq 8x\\1\geq x\\x\leq 1[/tex]

Therefore, the given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].

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Sammy bought a new car. The depreciation equation is given by f(x) = 30,000(.85)x, where x represents the number of years since the purchase of the car, and f(x) represents the value of the car. By what percent does Sammy's car depreciate each year?

Answers

In a depreciation equation, you multiply the value of the car by the percent of depreciation minus 1.


In the given equation you are multiplying the value of the car by (.85)


This means the percent of depreciation would be 1 - 0.85 =0.15 which is 15%


The car depreciates by 15% every year.

Answer:

The car depreciates by 15% every year.

Step-by-step explanation:

Y is inversy proportional to x. When y=7 , x=9 A) work out an equation connecting y and x? B) work out the value of y when x=21

Answers

Answer:

see explanation

Step-by-step explanation:

since y is inversely proportional to x the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportionality

to find k use the given condition when y = 7, x = 9

k = yx = 7 × 9 = 63

y = [tex]\frac{63}{x}[/tex] ← is the equation connecting them

when x = 21, then

y = [tex]\frac{63}{21}[/tex] = 3


Final answer:

The equation connecting y and x is y = 9 + 3x. When x = 21, y = 72.

Explanation:

The equation connecting y and x is given by y = 9 + 3x. In this equation, the constant term, also known as the y-intercept, is 9. The coefficient of x, also known as the slope, is 3. This means that for every increase of 1 in x, y increases by 3.

To calculate the value of y when x = 21, substitute x = 21 into the equation: y = 9 + 3(21) = 9 + 63 = 72. Therefore, when x = 21, y = 72.

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It takes layla 2/5 hour to swim 1/2 mile what is the unit rate of miles that layla can swim per hour

Answers

Good Morning!


Distance = rate x time


1/2 mile = R x 2/5 hour


1/2=2/5R


/2/5 /2/5


R=1/2 x 5/2


R=1 1/4


She can swim 1 1/4 per hour.


I hope this helps! :)

Answer:

1 1/4

Step-by-step explanation:

The matrix shows the number of different basketball shots three players made in two minutes. These players want to double these results. Which matrix shows what the players want to do?

Answers

Answer:

Look at your answer choices and see which one has multiplied each of the shots by 2

Step-by-step explanation:


Step-by-step explanation:

To find the right matrix, you have to look which matrix among the options has doubled each item.

For example, if you have:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Then, your answer would be:

[tex]\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right][/tex]

Because each term is the double of the original matrix.

Remember that, this operation is between a scalar and a matrix. That operation is done according to this property:

[tex]aM=a\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] = \left[\begin{array}{ccc}1a&2a&3a\\4a&5a&6a\\7a&8a&9a\end{array}\right][/tex]

In fewer words, the scalar will multiply each element of the matrix.

Help me with this please

Answers

Answer:

4.42×10^34 molecules/min

Step-by-step explanation:

Multiply the various factors, along with the unit conversion (60 s/min).

... (3.35×10^25 molecules/L) × (2.2×10^7 L/s) × (60 s/min)

... = (3.35×2.2×60)×10^(25+7) molecules/min

... = 442.2×10^32 molecules/min

... ≈ 4.42×10^34 molecules/min

_____

Comment on scientific notation problems

Your scientific or graphing calculator will allow you to enter and display numbers in scientific notation.

The winter clothing drive has received donations of 5 coats, 23 pairs of gloves, 19 scarves, and 3 hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?

Answers

Answer: Probability that the next donation is not a pair of gloves is 0.54.

Step-by-step explanation:

Since we have given that

Number of coats = 5

Number of pairs of gloves = 23

Number of scarves = 19

Number of hats = 3

Total number of winter clothing is given by

[tex]5+23+19+3=50[/tex]

Probability that the next donation is not a pair of gloves is given by

Not gloves = 50-23=27

P(not gloves ) is given by

[tex]=\frac{Not\ gloves}{total}\\\\=\frac{27}{50}\\\\=0.54[/tex]

Hence, Probability that the next donation is not a pair of gloves is 0.54.

Answer:

.54

Step-by-step explanation:

I know khan, ok?

Choose which of the following functions has a domain of all real numbers. Select all that apply. y = x, y = 2x^2 + x - 3, y = 3x - 4, y = 2, y = 3 - x^2.

Answers

Answer:

all of the above

Step-by-step explanation:

Every one of these functions is defined for all values of x.

Final answer:

All the provided functions: y = x, y = 2x^2 + x - 3, y = 3x - 4, y = 2, and y = 3 - x^2, have a domain of all real numbers. This means any real value can be input into these functions to get a real output.

Explanation:

The domain of a function is the set of all possible input values (usually represented by x) that will give an output value. In this case, we are asked to identify which of the provided functions have a domain of all real numbers. For the functions given: y = x, y = 2x^2 + x - 3, y = 3x - 4, y = 2, and y = 3 - x^2, all of them have a domain of all real numbers. This is because no matter what value of x you choose, these functions will always provide a valid output of y. In other words, you can input any real number into these functions and get a real number out.

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Which of the following ordered pairs represents the solution to the system given below?

x − 4y = 7
5x + 9y = 6

Answers

Answer:

The solution to the system would be (3, -1)

Step-by-step explanation:

You can find the solution to this system by using the elimination method. To do that, start by multiplying the top equation by -5 and then adding it through.

-5x + 20y = -35

5x + 9y = 6

-----------------

29y = -29

y = -1

Now that we have the value of y, we can plug it into either equation and find the x value.

x - 4y = 7

x - 4(-1) = 7

x + 4 = 7

x = 3


Final answer:

The solution to the given system of equations is the ordered pair (3, -1).

Explanation:

To find the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x:

x = 7 + 4y

2. Substitute this value of x into the second equation:

5(7 + 4y) + 9y = 6

3. Simplify and solve for y:

35 + 20y + 9y = 6

29y = -29

y = -1

4. Substitute the value of y back into the first equation to find x:

x = 7 + 4(-1)

x = 3

Therefore, the solution to the system is the ordered pair (3, -1).

NeeD HELP ASAP ! Please. the function f(x)=x^2. The graph of g(x) is f(x) translated to the right 3units and down 3 units what is the function rule for g(x) ? Please show me step by step

Answers

Answer:

g(x) = (x-3) ^2 -3

Step-by-step explanation:

f(x) = x^2

To shift down 3 units, subtract 3  ( When we move up, we add)

h(x) = x^2 -3

To shift to the right 3 units, replace x with (x-3).  I know it seems backwards, but right is minus and left is plus.

g(x) = (x-3) ^2 -3

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean floor is 60 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck?

Answers

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

[tex]\theta = 12.5^{\circ}[/tex]

Put in the identity

[tex]tan\ 12.5^{\circ} = \frac{CB}{AC}[/tex]

[tex]tan\ 12.5^{\circ} = \frac{CB}{60}[/tex]

[tex]tan\ 12.5^{\circ} = 0.22[/tex]

[tex]tan\ 12.5^{\circ} = 0.22[/tex]

[tex]0.22= \frac{CB}{60}[/tex]

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.







The distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.

We will use the tangent function, which relates the angle of depression to the opposite side (the distance from the point directly below the ship to the shipwreck) and the adjacent side (the depth of the ocean at the point directly below the ship).

Given:

The angle of depression [tex]\theta[/tex] is [tex]12.5^o.[/tex]

The depth of the ocean at the point directly below the ship, h, is 60 meters.

We want to find the distance from the point directly below the ship to the shipwreck, which we will call [tex]d.[/tex]

Using the tangent function :  

[tex]\[ \tan(\theta)[/tex] = [tex][\frac{\text{opposite}}{\text{adjacent}}][/tex]

[tex]\[ \tan(12.5^o) = \frac{d}{60} \][/tex]

To find d, we rearrange the equation:  [tex]\[ d = 60 \times \tan(12.5^o) \][/tex]

Now we calculate the tangent of 12.5 and multiply it by 60:[tex]\[ d = 60 \times \tan(12.5^o) \][/tex]

[tex]\[ d \approx 60 \times 0.22169\][/tex]

[tex]\[ d \approx 13.3014 \][/tex]

Therefore, the distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.

The diagram of question is:

To find the quotient of 8 :- 1/3, multiply 8 by

Answers

Answer:

3

Step-by-step explanation:



A summer camp has 32 campers. A total of 22 of them swim, 20 play softball, and 5 do not swim or play softball. Which values complete the table?

a = 15, b = 10, c = 7, d = 5, e = 12
a = 15, b = 7, c = 5, d = 10, e = 12
a = 14, b = 7, c = 5, d = 12, e = 10
a = 14, b = 12, c = 7, d = 5, e = 10

Answers

Answer:

a = 15, b = 7, c = 5, d = 10, e = 12

Step-by-step explanation:

You only need to find d.

22+d=32, d=10

Only one choice has d=10

Don't waste time checking the others.

Answer:

It’s B

Step-by-step explanation:

A pair of shoes usually sells for $62. If the shoes are 40% off, and sales tax is 8%, what is the total price of the shoes, including tax?

Answers

Answer:

45.57

Step-by-step explanation:

Final answer:

After applying a 40% discount to the original $62 price of the shoes and adding an 8% sales tax, the total cost of the pair of shoes is $40.18.

Explanation:

The question involves calculating the total price of a pair of shoes after a discount and adding sales tax. To find the discounted price, we take 40% off the original price of $62. To calculate 40% of $62, we multiply 62 by 0.40 (which is 40% as a decimal), giving us $24.80. We subtract this discount from the original price: $62 - $24.80 = $37.20, which is the discounted price of the shoes.

Next, calculate the sales tax on the discounted price by converting the sales tax rate from a percent to a decimal. The sales tax rate is 8%, which as a decimal is 0.08. Multiply the discounted price by the sales tax rate: $37.20 x 0.08 = $2.976, which we round to $2.98.

Finally, add the sales tax to the discounted price to find the total cost: $37.20 + $2.98 = $40.18. Therefore, the total price of the shoes, including tax, is $40.18.

Please answer this question! 25 points and brainliest!

Answers

Answer:

a   -5/2 <=x

Step-by-step explanation:

5(x-2) <= 9x

Distribute the 5

5x -5*2 <= 9x

5x-10 <= 9x

Subtract 5x from each side

5x-5x-10 <= 9x-5x

-10 <= 4x

Divide by 4 on each side

-10/4 <=4x/4

-5/2 <=x

Please answer this question! 30 points and brainliest!

Answers

Answer:

c  x >=3

Step-by-step explanation:

9-2x <= 3

Subtract 9 from each side

9-9-2x <=3-9

-2x <-6

Divide by -2.  Remember to flip the inequality when multiplying or dividing by a negative number.

-2x/-2 >= -6/-2

x >=3

Answer: i think it would be letter c plz mark brainliest and add as friend



HELP CHECK THIS

The work of a student to solve a set of equations is shown:


Equation A: y = 15 − 2z

Equation B: 2y = 3 − 4z



Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.]

2y = 3 − 4z [Equation B]

Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.]

2y = 3 − 4z [Equation B]

Step 3: 0 = 18 − 6z [Equations in Step 2 are added.]

Step 4: 6z = 18

Step 5: z = 3



In which step did the student first make an error?

Step1

Step 2

Step 3 <<<<<

Step 4

Answers

Answer:Step 2 because, the student should not cancel the multiplying constant 2 in the right-hand side but not left-hand side.If the student want to simplify it he should cancel out 2 multiplied in both side.

Please please help me!!!!!!!!

Answers

Answer: 20%


Step-by-step explanation:

200\1000

In the figure shown, what is the measure of angle x?

150 degrees
110 degrees
105 degrees
100 degrees

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A= 30°

∠B=75°

We need to find the value of ∠ACD=x

As we know that "Sum of interior angles is equal to exterior angle":

So, we will have,

[tex]\angle A+\angle B=\angle ACD\\\\30\textdegree+75\textdegree=\angle ACD\\\\105\textdegree=\angle ACD[/tex]

Hence, Third option is correct.

Answer:

The answer is 105 degrees

180-75=105

How to solve this problem?

Answers

Answer:

Can not be determined.

Step-by-step explanation:

We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.

Hence, option C is correct i.e. the limit can not be determined.

Answer:

cannot be determined

Step-by-step explanation:

If we have, [tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]

We plug in infinity for n directly

1/∞ =0

So when we plug in infinity for n  then 1/n becomes 0

[tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]

[tex] {1+\frac{1}{infinity}}[/tex]

1+ 0 = 1

In our problem , limit says x-> ∞

there is no x  term inside

[tex]\lim_{x \to \infty} {1+\frac{1}{n}}[/tex]

so we can clearly say limit cannot be determined

One ounce of solution x contains only ingredients a and b in the ratio of 2:3 one ounce of solution y count aims only ingredients a and b in the ratio of 1:2 if solution z is created by mixing solutions x and y in the ration of 3:11 then 2520 ounces of solution z contains how many ounces of a

Answers

Answer:

Volume of a in z = 876 ounces

Step-by-step explanation:

For z, the ratio of x and y is 3 : 11

x : y = 3 : 11 , which means in 14 parts of solution z : x will be 3 parts and y will be 11 parts

So, in 2520 ounces solution of z ,

[tex]x=\frac{2520*3}{14}=540\\y=\frac{2520*11}{14}=1980[/tex]

Volume of a in z = { Volume of a in x + Volume of b in x }

Therefore,

[tex]Volume \thinspace of \thinspace a\thinspace in\thinspace x = 540\cdot \frac{2}{5} = 216\\Volume \thinspace of \thinspace b \thinspace in \thinspace x = 1980\cdot \frac{1}{3}=660[/tex]

So, Volume of a in z = 876 ounces


Martha estimated there were 89 marbles in a jar for a contest. The actual number of marbles in the jar was 111. What was the percent error of Martha's estimation?

Answers

Answer:

18.91 percent

Step-by-step explanation:

Percent error equation:     Difference       or    Difference/Actual

                                            Actual


The difference is the greater amount minus the smaller.

111 - 89 = 22


The actual is 111.


Now divide 22/111.

22/111 = 0.189 repeating


0.189 repeating = about 18.91 percent

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms. What's its density in grams per cubic centimeter?

Answers

Answer:

The density of the  bar of gold is  19.32 grams per cubic centimeter .

Step-by-step explanation:

Formula

[tex]Density = \frac{Mass}{Volume}[/tex]

As given

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.

As 1 kilogram = 1000 gram

Than convert 13.949 kilograms into grams.

13.949 kilograms = 13.949 × 1000 grams

                             = 13949 grams

Mass = 13949 grams

Volume = 722 cubic centimeter

As put in the formula

[tex]Density = \frac{13949}{722}[/tex]

Density = 19.32 grams per cubic centimeter (Approx)

Therefore the density of the  bar of gold is  19.32 grams per cubic centimeter .


If JK and LM are congruent and parallel, then JKL and MLK are congruent.

Answers

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

i think it is a check my answer?

What function equation is represented by the graph?

f(x)= 4 x +4

f(x)= 4 x +5

f(x)= 3 x +5

f(x)= 3 x +4

Answers

Answer:

I am 99% sure the answer is f(x)= 4x + 5

Step-by-step explanation:

That is because the line intercepts y at 5 and every 4 cubes the line hits a corner...


Answer:

F(x)=4x +5

Step-by-step explanation:


The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width

Answers

l - lenght

w - width

l - w = 5 → l = 5 + w

26 m - perimeter

l + l + w + w = 2l + 2w - perimeter

substitute l = 5 + w:

2(5 + w) + 2w = (2)(5) + (2)(w) + 2w = 10 + 2w + 2w = 10 + 4w

The equation:

10 + 4w = 26     subtract 10 from both sides

4w = 16    divide both sides by 4

w = 6

Answer: The width = 6 m.

The male elephant weighs 8,000 pounds wich is the is th same as 4 tons the female weighs 7,000 pounds how many tons does the female weighs

Answers

Answer:

3.5 tons

Step-by-step explanation:


Is the following true or false? the derivative with respect to x of the product of x squared and e raised to the x power equals the product of x times e to the x power and the quantity x plus 2 True False

Answers

Answer:

It is true

Step-by-step explanation:


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Which of the following details from the story belongs to the rising action?AVictor looked around the empty kitchen, imagining all he could do with this new space.BNoras a good boss, but shes too controlling, Victor thought.CGood, Nora pulled on her jacket. Im leaving you in charge for the day.DGuess Im making bread now, he announced to the kitchen, laughing. Hamlet - Act 3 Scene 3 and 4--------------------------------------1. What warnings about the cease of majesty does Rosencrantz explain to Claudius? How is this both foreshadowing and the outcome of an event of the past? (pg. 186)2. Claudius admits his guilt (to us and to himself): What is the primal eldest curse he speaks of? Why cant Claudius ask for forgiveness from God? (pg. 188)3. Why doesnt Hamlet kill Claudius? (pg. 192)4. Read the scene between Hamlet and Gertrude: Note how her lines these words like daggers into my ears relates to how Hamlets father was killed. Why does the Ghost appear when it happens? How is its sudden appearance different from its appearance in Act 1, and What does this difference suggest? What is its message to Hamlet? (pg. 202)5. What is Gertrudes agreement with Hamlet? (pg. 202) do you think there are differences between ancient india and china Axel is thinking about changing the word feared with dreaded why do u thinkhe want to make that change Detailed information about the life of a person written by that same person which identifies the type of informational text that includes this content? Preliminary reading of _______ can help you understand the scope of an assigned topic, as well as discover a range of manageable subtopics. A. scholarly articles B. primary sources C. trade journals D. reference works Ms. Kincaid keeps a supply of dimes and quarters in her car to pay for highway tolls. A weeks supply of toll coins contains 5 more dimes than quarters and totals $4.00. How many quarters does Ms. Kincaid spend on highway tolls in one weekA. 10B.15C.16D.40 Members of a movie rental club pays a minimum of $15 annual membership fee and $2 for new release movies. Nonmembers pay $3 for new release movies. Write a system of linear equations that represents this situation What is the vertex form of the quadratic y = 3x^2 + 18x - 4? Together, teammates Pedro and Ricky got 2677 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have? Which example best illustrates a method to show differences among Earths layers? Carson models how the continental crust varies in thickness. Marisol records atmospheric and oceanic temperatures at several beaches. Eliza analyzes seismic wave activity from an earthquake using a computer model. Oscar determines the mineral content of rock core samples at different depths in Earths crust. Which of the following equations represents an exothermic reaction? (Select all that apply.)NH3(g) + 12.0 kcal N2(g) + 3/2 H2(g)C(graphite) C(diamond), H = - 0.45 kcalC + 2S CS2, H = 27,550 calCH4 + 2O2 CO2 + 2H2O + 212,800 cal2H2O 2H2 + O2, H = +58 kcal Which of the following expression is equal to 6-4(x+3)? The brooding setting and use of the natural environment to reflect emotion are characteristic of _____. Select all that apply. Douglas runs 4 1/4 miles each day.About how many miles does he run in seven days?Please show your work. Can you help me to determine the y-intercept of 7 and slope please Cartels control the production and pricing of goods mainly through A)the elimination of competition. B)the cooperation of their members. C)the limitation of price controls. D)the manipulation of government pressure. How does long term memory differ from short term memory WILL GIVE BRAINLIEST!! Which ratio is equivalent to the unit rate 30 miles 1 gallon ? How was the unit rate transformed into the equivalent ratio? A) 3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10. B) 90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3. C) 6 gallons 180 miles ; by multiplying the numerator and denominator of the unit rate by 2. D) 180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6. Are the solutions correct? Steam Workshop Downloader