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

In the article, “Visual Business Intelligence”, Stephen Few claims that visualization analysis and presentation tools are import

iris [78.8K]

<span><span>D. Allow him or her to view data as an easy to understand image that might be recognized as a pattern and solved without costly data analysis.</span></span>

8 0

3 years ago

Read 2 more answers

30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought alo

Doss [256]

A positive number
This is because you must add to get from a negative number in order to get to a positive number.

4 0

3 years ago

Read 2 more answers

Sunny’s Surf Shop sold 20 surfboards last week. This week, they will sell 320 percent as many. How many surfboards will Sunny’s

stealth61 [152]

Multiplying 20 by 320% is the same thing as multiplying 20 by 3.2, or 20(3.2)=64. Hope this helped!

7 0

3 years ago

Read 2 more answers

Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R

tresset_1 [31]

Answer:

Step-by-step explanation:

Given the Total revenue R(x) = 2x

Cost C(x) = 0.01x²+0.3x+30 where;

x = 30 and dx/dt = 9units per day.

Rate of change of revenue dR/dt = dR/dx • dx/dt

dR/dt = 2dx/dt

dR/dt = 2(9) = $18

Rate of change of revenue with respect to time is 18dollars/day.

Rate of change of cost dC/dt = dC/dx • dx/dt

dC/dt = (0.02x+0.3)dx/dt

dC/dt at x = 30 and dx/dt = 9 will give;

dC/dt = {0.02(30)+0.3}×9

dC/dt = (0.6+0.3) × 9

dC/dt = 0.9×9

dC/dt = $8.1

Rate of change of cost with respect to time is 8.1dollars/day

Profit = Revenue - Cost

Profit = 18-8.1

Daily Profit = $9.9

4 0

3 years ago

Solve for x in the equation x2 + 4x-4=8.

iren [92.7K]

${x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6$

<u>Answer</u><u>:</u>

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0

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. ​

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