All categories

2 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.

Mathematics

1 answer:

navik [9.2K]2 years ago

6 0

The length of the hypothenuse or the value of x is equal to 19.53

Data;

hypothenuse = x
adjacent = 11.2
opposite = 16

<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2\\$

Let's substitute the values and solve for the missing side

$x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53$

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

You might be interested in

A start-up company opened with 8 employees.

tiny-mole [99]

By representing the equation is written in the form y = ax + b .

The value of b is 8.

According to the question

A start-up company opened with 8 employees.

So, Number of employees = 8

At zero quarter = 8

The company’s growth plan assumes that 2 new employees will be hired each quarter

After 1 quarter = Number of employees + 2 new employees

After one quarter = 8 + 2 = 10

Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened

y = ax + b

10 = 2 × 1 + b

10 = 2 + b

Subtract 2 on both sides of the equation

b = 10 - 2

b = 8

The value of b is 8.

Find out more information about equation here

brainly.com/question/14130415

#SPJ4

4 0

1 year ago

In a direct variation, y = 18 when x = 3. Write a direct variation equation that shows the

Ronch [10]

Answer:

rounding to the nearest tenth

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

4 Gary has made 11 of 25 free throws in basketball. How many consecutive free throws must he make in

Alexeev081 [22]

If he makes 15 out of 25 free throws then his shooting percentage will be 60%.
To figure it out just put 11 divided by 25 in your calculator and get .44 which is 44%. keep going up in numbers until you get .6 percent or 60 percent

4 0

2 years ago

1. x + 4x - 5<br> Factor this equation

Novay_Z [31]

Answer: 5(x-1)

Step-by-step explanation:you combine like terms which is "X" and "4x" will give you (5x-5). then you factor out the 5 and that will give you 5(x-1)

5 0

2 years ago

A 20 kg metal bar made of tin and silver lost 2 kg of its weight in the water. If 10 kg of tin loses 1.375 kg in the water and 5

Neko [114]

Answer:

Ratio of tin to silver in the bar is 2:3

Step-by-step explanation:

We are given the following in the question:

10 kg of tin loses 1.375 kg in the water

Percentage of weight lost by tin =

$\dfrac{1.375}{10}\times 100\% = 13.75\%$

5 kg of silver loses 0.375 kg

Percentage of weight lost by silver =

$\dfrac{0.375}{5}\times 100\% = 7.5\%$

20 kg bar loose 2 kg in water.

Percentage of weight lost by metal =

$\dfrac{2}{20}\times 100\% = 10\%$

Let x be the amount of tin and y be the amount of silver in bar.

Thus, we can find the ratio as:

$\dfrac{x}{y} = \dfrac{\text{Silver's loss - Average loss}}{\text{Average loss - Tin's loss}}\\\\\dfrac{x}{y} = \dfrac{7.5-10}{10-13.75} = \dfrac{2}{3}$

is the required ratio.

6 0

3 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.