Mathematics High School

Find the length of the third side. If necessary, write in simplest radical form.
10
5

Find The Length Of The Third Side. If Necessary, Write In Simplest Radical Form.105

Answers

Answer 1

Answer:

x= [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

This relationship is represented by the formula:

[tex]a^{2} + b^{2} = c^{2}[/tex] =>[tex]10^2 +5 ^2 = x^2[/tex]

=> 100 + 25 = [tex]x^2[/tex]

=> [tex]\sqrt{125}[/tex] = x => [tex]\sqrt{25} \sqrt{5}[/tex] = x

=> x= 5[tex]\sqrt{5}[/tex]

Related Questions

2. Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?

Answers

Answer:

sefsefff

Step-by-step explanation:

Find the area of the figure.

Answers

9514 1404 393

Answer:

  7 square inches

Step-by-step explanation:

We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.

The triangle area is ...

  A = 1/2bh

  A = 1/2(3 in)(4 in) = 6 in²

The square area is ...

  A = s²

  A = (1 in)² = 1 in²

Then the total area of the figure is ...

  1 in² + 6 in² = 7 in²

13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble

Answers

Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10  = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]

Answers

Step-by-step explanation:

x²+3x-10 =

(x+5)(x-2)

______

30 Points

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?

Answers

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio

Sarah's scale is reasonable.

What is a scale drawing?

A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.

Is Sarah's scale reasonable?

The first step is to determine the how larger the paper is in terms of the painting.

48 / 12 = 4

120 / 24 = 5

This makes her scale of 1 in to 4 in reasonable.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year. How many helmets did the company sell in their first year?

Answers

sports Inc sold more helmets

Write an explicit formula for the following sequence. Find the fifteenth term.
10, 11, 12, 13, 14, ...

Answers

Answer:

Tn=n+9

Step-by-step explanation:

Tn=n+9

T15=15+9

T15=24

Please help me be genuine no Links I really need help please don’t be fake I really need it :(!

Answers

Answer: 2/3

Step-by-step explanation:

Probiability is really easy. First you need to count all the numbers like in yours.: 12 numbers. next you need to make a fraction like the number it is asking... Sience their are 8 shaded parts you write 8/12. Now you simpify 8divided 4 is 2. And 12 divided by 4 is 3. Answer 2/3

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answers

Answer:

????

What's the question here? I would love to help!

What's the answer to

"find the value of
√121 + 3√125" "? ​

Answers

Answer:

11+15√5

Step-by-step explanation:

mat.hway

achel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that onennumber cube lands on a 1 and the other lands on an even?

Answers

Answer:

immma send you the link friend me on here

Step-by-step explanation:

if the probability of rain tomorrow is 0.15 what is the probability that it will not rain​

Answers

Answer:

85% or 99.85%

Step-by-step explanation:

If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.

If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units

Answers

Answer: C 6 units

Step-by-step explanation: Edg


helppppppppppppp pla

Answers

A. 20 x 6
Hope i helped in time (:

Answer:

20 X 6 would be the answer.

5. A number or symbol multiplied with a variable

Answers

Answer:

Coefficient

Step-by-step explanation:

A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.

Answers

Answer:

3

Step-by-step explanation:

What is the inequality 3 - 2x > 5 is equivalent to?

Answers

Answer:

-2x > 2

x <  -1

Step-by-step explanation:

How do i solve problems like this

Answers

Answer:

x = - 2

Step-by-step explanation:

fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years

Answers

Answer:

A = $20,940

Step-by-step explanation:

Interest = Principal x Rate x Time

I = prt

I = 15000(.018)(22)

I = 5940

Interest = $5,940

Total Amount = Principal + Interest

A = P + I

A = 15000 + 5940

A = 20940

Can someone please help I will give brainliest!!! It’s due tonight

Answers

Answer:

1738

Step-by-step explanation:

ya I honestly think that the binomial of the quadriceps and triceratops are

Find the area of the circle. Leave your answers in terms of pi.

Answers

Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi

Find the values of x and y write your answers in simplest form.

Answers

X= 6
Y= 8.5
I used Tan to find X and Cos to find Y

what is the value of 100 3/2

Hint: its not 203/2 or 101.5

Answers

its was 101.5 try it that's the answer

Find the sum of−3x^2

Answers

Answer:

[tex]x+y=2[/tex]

[tex]y=-x+2[/tex]

[tex]slope (m)=-1[/tex]

[tex]slope ~of ~perpenddicular ~line:-[/tex]

[tex]-1/m_{2}[/tex]

[tex]\frac{-1}{-1} =1[/tex]

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

hope it helps...

have a great day!

helppp pleaseee:(im failing

Answers

Answer:

1.o5 I fell i I'm in heven

Find the range of the data set: 400, 340, 870, 400

Answers

Answer:

530 870-340=530

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

Range means when you do the highest number takeaway from the smallest number.

870-340=530.

hope this helps,have a great day!!

~Pinky~

whats the value of x

Answers

Answer:

55°

Step-by-step explanation:

x + 35° = 90°

x = 90° - 35°

x = 55°

hii someone pls help me, I’m confused

Answers

Answer:

A, B, and D

Step-by-step explanation:

A, B, and D

Answer:

m²+m²+m²+m²

m⁸

4m²

Step-by-step explanation:

The equation is basically asking what is the same as m² times 4

What is the mode of this data set?
12, 12, 13, 14, 17, 16

Answers

Answer:

Mode = 12

Step-by-step explanation:

If you need--

Median-13.5

Mean-14

Answer:

12

Step-by-step explanation:

the mode is the number that is the most in fashion

here 12 appears the most

1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee

Answers

Answer:

y = (x - 2)² - 9

Step-by-step explanation:

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 5

y = (x - 2)² - 9

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