Find the exact length of the third side.

Find The Exact Length Of The Third Side.

Answers

Answer 1

Answer:

√41 or 6.40

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

The third side is considered the hypotenuse (c²).

a² and b² will be represented by the legs.

a² = 4²

b² = 5²

c² = c²

4² + 5² = c²

16 + 25 = c²

31 = c²

√41 = c

Answer 2

 

[tex]\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}[/tex]

 


Related Questions

Approximately how many ounces are equivalent to 1 kilogram?

Answers

Answer: 35.27 oz

The answer is: The change of 1 kg ( kilogram ) unit for a weight and mass measure equals = into 35.27 oz ( ounce ) as per its equivalent weight and mass unit type measure often used.

Final answer:

Approximately, 1 kilogram is equivalent to 35.3 ounces. This calculation is achieved by starting with the knowledge that 1 kilogram is 1000 grams, then converting this measurement to ounces knowing that 1 gram equals 0.0353 ounces.

Explanation:

The topic at hand is the conversion between weight metrics, specifically how many ounces are approximately equivalent to a kilogram. It's important to note that 1 kilogram is approximately equivalent to 35.274 ounces. Here's why:

We understand from the given information that 1 ounce is produced by a mass of 28.35 grams (abbreviated as g). Given that 1 kilogram (kg) is equal to 1000 grams, to find the equivalent of a kilogram in ounces, we need to convert 1000 grams to ounces:

Step-by-Step Calculation

Start with 1 kilogram, which is equivalent to 1000 grams.Knowing that 1g equals to 0.0353 ounces, multiply 1000 grams by 0.0353 oz/g. This gives us 35.3 ounces.

So, 1 kilogram is approximately equivalent to 35.3 ounces.

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- the line through (3, 7) and (-1, 4) --

Answers

Answer:

[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]

Step-by-step explanation:

We have to get the equation of the straight line through the points (3,7) and (-1,4).

Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].

So, in our case, the equation of the straight line will be

[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]

⇒ 4(y - 7) = 3(x - 3)

⇒ 4y - 28 = 3x - 9

⇒ 4y = 3x + 19

⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)

7x + 2y = -1
3x – 4y = 19

Answers

Answer:  Y = - 4 & x = 1

Step-by-step explanation:

Systems of linear equations: We will solve this using substitution but you can use 2 more ways.

7x + 2y = -1

2x - 4y = 19

Leave X  alone first: -------------------

10x - 2y = 18

10x/10 = 18 + 2y/10

x = 9/5 + y/5

Solve for y:

7(9/5 + y/5) + 2y = -1

63/5 + 7y/5 + 2y - 1

63/5 + 7y/5 = 10y/5 = -1

63/5 + 17y/5 = -1 (-5/5)

17y/5 = -68/5 (cancel the 5)

y = -68/17

y = - 4 (Your Answer)

7x + 2(- 4) = -1

7x + (-8) = -1

7x = 7

x =   1

CHECK=

7(1) + 2(-4) = -1

7+ (-8) = -1.

-1=-1

Answer:

(1, -4).

(x = 1, y = -4).

Step-by-step explanation:

7x + 2y = -1

3x  – 4y = 19    Multiply the first equation by 2:

14x + 4y = -2     Adding:

17x = 17

x = 1.

Plug this into the second equation:

3(1) - 4y = 19

-4y =  19 - 3 = 16

y = -4.

From 2003 onward, the number of daily visitors to a website increased by 200% every two years. So, for example, the number of visitors in 2011 was 200% more than the number of visitors in 2009.

In what year was the number of daily visitors $800\%$ more than the number of daily visitors in 2003?

Answers

It takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

Solution:

Let the number of visitors in 2003 be 100

From 2003 onward, the number of daily visitors to a website increased by 200% every two years

Therefore, Number of visitors in 2005 is given as:

Visitors in 2005 = 100 + 200 % of 100

[tex]Visitors\ in\ 2005 = 100 + \frac{200}{100} \times 100\\[/tex]

Visitors in 2005 is 300

Similarly, in 2007, the number of visitors is given as:

Visitors in 2007 = 300 + 200 % of 300

Visitors in 2007 = 300 + 600

Visitors in 2007 = 900

Now find the percentgae increase from 2003 to 2007

[tex]\text { Percentage increase }=\frac{\text {visitors in } 2007-\text {visitors in } 2003}{\text {visitors in } 2003} \times 100[/tex]

[tex]\text{percentgae increase} = \frac{900 - 100}{100} \times 100\\\\\text{percentgae increase} = 800[/tex]

Thus it is a 800 % increase

Number of years = 2007 - 2003 = 4 years

Thus it takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

If a number increases by $200\%$, then this means that $2$ times the number is added to the original number. The result is $3$ times the original number. So, the information given in the problem means that the number of daily visitors to the website tripled every two years.

For the number of daily visitors to increase by $800\%$, it must become $9$ times its original value (that's $8$ times the original number added onto the original number). This is equivalent to tripling and then tripling again.

Relative to its value in $2003$, the number of daily visitors to the website tripled by $2005$, then tripled again by $2007$. So, $\boxed{2007}$ is the year in which this number reached $800\%$ more than its value in $2003$.

Help me on my midterm.!

Answers

Last Option: "The division property is used to create step 4" is the correct answer

Step-by-step explanation:

Given equation is:

[tex]6(3x-4)-26 = 40[/tex]

Step 1: Distributive property

[tex]18x-24-26 = 40\\[/tex]

Step 2: Simplifying

[tex]18x-50 = 40[/tex]

Step 3: Addition Property of Equality

[tex]18x-50+50 = 40+50\\18x = 90[/tex]

Step 4: Division Property of Equality

[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]

Hence,

Last Option: "The division property is used to create step 4" is the correct answer

Keywords: Linear equation, variables

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How do I simplify (5i) square

Answers

Answer:

see attached picture please

There are 27/9 and I don’t know the answer

Answers

Answer:i8lil

Step-by-step explanation:

loo;;o;o;oo;

Answer:

you Go up to who ever teaches you cuz it’s 8 and u should know This

What is 980 divided by 41

Answers

Answer:

23.902

Step-by-step explanation:

980 divided by 41 will be :
23.9

an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.

Answers

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

The airplane flew 80 miles west and 30 miles north

We are supposed to determine how far apart are the airports.

The shortest distance will be the displacement from the initial point.We are going to use the Pythagoras theorem;a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;

That is;

c² = 80² + 30²

    = 6400 + 900

    = 7300

c = √7300

  = 85.44

Thus, the airports are 85.44 miles apart

   

John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?

Answers

Answer:

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Step-by-step explanation:

Let

x ----> the number of general admission tickets sold

y ----> the number of VIP tickets sold

we know that

[tex]x+y=33[/tex] ---> equation A

[tex]70x+105y=2,730[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

The solution is the point (21,12)

see the attached figure

therefore

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Final answer:

To solve how many general admission and VIP tickets John sold, a system of equations is formed and solved, revealing that John sold 21 general admission tickets and 12 VIP tickets.

Explanation:

John is selling tickets to an event with two different pricing options, general admission tickets at $70 and VIP tickets at $105. He sold a total of 33 tickets resulting in revenue of $2730. To determine how many of each type of ticket he sold, we will use a system of equations.

Let x represent the number of general admission tickets sold and y represent the number of VIP tickets sold. We can then form the following two equations based on the information provided:

x + y = 33 (equation 1: total number of tickets sold)

70x + 105y = 2730 (equation 2: total revenue from ticket sales)

To solve this system, we can use the method of substitution or elimination. Here, we'll use substitution for simplicity. First, solve equation 1 for x:

x = 33 - y

Substitute this expression for x in equation 2:

70(33 - y) + 105y = 2730

Simplify and solve for y:

2310 - 70y + 105y = 2730

35y = 420

y = 12

Since y = 12, substitute y back into equation 1 to find x:

x = 33 - 12 = 21

Therefore, John sold 21 general admission tickets and 12 VIP tickets.

What is the slope for 4y-2x=8

Answers

Answer:

1/2

Step-by-step explanation:

The answer would be x-2y= -4 I hope this helped!

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x) = Left-bracket StartFraction x Over 10 EndFraction right-bracket

Which describes the meaning of f(x)?

Answers

Answer:

A customer earns one free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

Here, [tex]f(x) = \frac{x}{10}[/tex] ........... (1)

In the above equation if we put x = 10 nights then f(10) = 1 night.

From, the equation (1) we get that a customer earns one free night per 10 nights stayed. (Answer)

The correct option is A. a customer will earn 1 free night per 10 night stayed.

Given,

[tex]f(x)=\dfrac{x}{10}[/tex]..........equation (1) .

Since the hotel offers a reward program based on the number of nights stayed. The function [tex]f(x)[/tex] represents the number of free nights earned as a function of [tex]x[/tex], the number of nights stayed.

From equation (1), it is clear that  f(x) is the one- tenth times  of x. it means the customer will earn 1 free night per 10 night stayed.

Hence the correct option is A. a customer will earn 1 free night per 10 night stayed.

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sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.

Answers

Answer:

3

Step-by-step explanation:

42 divided by 2 equals 21

21 divided by 8 equals 2.625

therefore, sharon must buy 3 packets of cheese.

What is the answer to 20g + 24h?

Answers

Answer: 64g

Step-by-step explanation: added 20 by 20 and then add the 4.

Answer:it stays the same

Step-by-step explanation: because if it different letters it can’t combine

Can you help me make a Word problem

Answers

Answer:hey

Step-by-step explanation:

What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Answers

Answer:

x is greater than StartFraction 1 Over 6 EndFraction.

Step-by-step explanation:

–2(8x – 4) < 2x + 5

⇌  –16x + 8 < 2x + 5

⇌ 3 < 18x

⇌ 1/6 < x

⇌ x > 1/6

Answer:

A

Step-by-step explanation:

w+2/3=2 5/6 what is w

Answers

Answer:

13/6

Step-by-step explanation:

2 5/6=17/6

w+2/3=17/6

w=17/6-2/3

w=17/6-4/6

w=13/6


Which polygon is irregular?

Answers

Answer:

The irregular polygon is D.

Step-by-step explanation:

An irregular polygon is a shape that doesn't have all congruent sides.

Answer:

D

Step-by-step explanation:

Select the answer with the correct number of significant figures for each calculation. (6.022 × 10^23) × 2.58 = 1.55 × 10^24 1.554 × 10^24 1.5537 × 10^24

Answers

Answer:

1.55 × 10^24

Step-by-step explanation:

The answer is A aka 1.55 x 10 to the power of 24

What is the distance ?

Answers

Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²

= √(7 - (-3))² + (-1 - 5)²

= √10² + -6²

= √100 + 36

= √136

≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).

Best of Luck!

What is the product? (x + 3)(2 x minus 1)

Answers

2x^2 -x + 6x -3 is what we get when we multiply by opening the brackets

Your final answer will be 2x^2 + 5x -3

Answer:

Your final answer will be 2x^2 + 5x -3

Step-by-step explanation:

Solve the systems of equations using the substitution method.
5y-6=x
Y=-x

Answers

Answer:

x=-1, y=1. (-1, 1).

Step-by-step explanation:

5y-6=x

y=-x

-----------

5(-x)-6=x

-5x-6=x

-5x-x=6

-6x=6

x=6/-6

x=-1

y=-(-1)=1

Divide 20/100
To find two equivalent fractions

Answers

1/5, 2/10, 3/15, 4/20, 5,25, and on going up a number example (...6,7,8,9,10) and up 5 example (...30,35,40,45)
Final answer:

Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.

Explanation:

To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.

Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.

A gardener makes a new circular flower bed. The bed is fourteen feet in diameter. Calculate the circumference and the area of the circular flower bed.
A. circumference= 14pi feet, area = 196pi square feet

B.circumference = 14
feet, area = 14pi
square feet

C.circumference = 14pi
feet, area = 49pi
square feet

D.circumference = 7pi feet,area= 49pi square feet

Answers

The circumference and the area of the circular flower bed is 14π feet

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

Given the following parameeters

diamter = 14ft

radius = 14/2  = 7ft

Susbtitute

C = 2π(7)

C = 14π feet

A  = π(7)^2
A = 49 π square feet

Hence the circumference and the area of the circular flower bed is 14π feet

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PLEASE HELP!
The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)

Answers

Answer:

The actual answer is C) 2, -3/400

Step-by-step explanation:

I hope this can help, I checked for the answer after the quiz.

There are 3,200 students at our school. If 52% of them are boys, then how many boys are enrolled at our school?

Answers

Answer:

1664 boys

Step-by-step explanation:

3200×0.52=1664 boys

Answer:

1664

Step-by-step explanation:

Multiply 3200 by the 52% as a decimal, which is 0.52, and 3200 times 0.52 gives you the answer 1664.

Can you Solve 4x = -60

Answers

Answer:

X = -15

Step-by-step explanation:

Divide -60 by 4

Ok so I’ll solve it step by step:
4x=-60 step 1-you have to get rid of the 4 first by dividing it on both sides(the reason is because you want to isolate the x)
4x/4=-60/4 step 2- divide -60 by 4
x=-15

The ratio of boys to girls is 7:12. If there are 76 children how many are girls?

Answers

Answer:

Step-by-step explanation:

I need help

Answer:

28 girls

Step-by-step explanation:

Given girls : boys ===> 7 : 12

i.e.

fraction all children who are girls = 7 / (7 + 12) = 7 / 19

fraction all children who are boys = 12 / (7 + 12) = 12 / 19

given that there are 76 children

number of girls = fraction of all children who are girls x total number of children

= 7/19   x   76

= 28 girls

Please help I need your it please
The following graph, made by the manager of the basketball team, compares the free throw percentages for various players.
Which statement best describes why this graph could be misleading?

A.The graph does not indicate if the free throws were made at home or away.

B.The color of the bar for Player H is different from the color of the other bars in the graph.

C.The graph is missing the scale on the y-axis, making it unclear as to how much higher the free throw percentage is for one player than for another.

D.We don't know if all of the people on the team are included in the graph.

Answers

Answer: C

Step-by-step explanation:

to be a good graph the x axis and y axis need labeled

Final answer:

The graph could be misleading because it does not indicate if the free throws were made at home or away, it is missing the scale on the y-axis, and it doesn't specify if all team members are included.

Explanation:

The statement that best describes why this graph could be misleading is A. The graph does not indicate if the free throws were made at home or away. The graph may show higher or lower percentages for certain players based on the location of the game. For example, a player may have a higher free throw percentage when playing at home compared to playing away.

Additionally, statement C is also correct. The graph is missing the scale on the y-axis, which makes it unclear how much higher or lower the free throw percentages are for each player.

Lastly, statement D is another reason why the graph could be misleading. Without knowing if all the people on the team are included, the graph may not provide an accurate representation of the overall free throw percentages of the team.

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HELP!! If over A few weeks Carla saw 15 mayflies how many flying insects did she see

Answers

Number of insect = 70

Step-by-step explanation:

Given  expression

Number of insect                  Number of mayflies

         x                                                    [tex]\frac{3}{14}x[/tex]

According to problem

[tex]\frac{3}{14}x[/tex][tex]=15[/tex]

⇔[tex]x = \frac{15 \times 14}{3}[/tex]

⇔[tex]x = 70[/tex]

Number of insect = 70

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