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4 years ago

for the following right triangle, find the side length x. round your answer to the nearest hundredth.

Mathematics

2 answers:

zvonat [6]4 years ago

4 0

The answer is 7.14 , hope this helps!(:

lidiya [134]4 years ago

4 0

Answer:

7.14

Step-by-step explanation:

use Pythagorean theory

A squared + B squared = C squared

7 squared + X squared = 10 squared

49 + X squared = 100

X squared = 100 - 49

X squared = 51

X = 7.14

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Step-by-step explanation:

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4x/4=3/4

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3 years ago

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3 years ago

A company is moving large equipment in the boxes in the shape of cubes that holds 2000 ft.³ the company needs to move the boxes

In-s [12.5K]

Answer:

Step-by-step explanation:

Volume of a cube = L³

L is the length of the side of the cube;

Given

L = 2000ft³

Required

smallest whole foot length that could be used for the square platforms

Substitute the given into the formula to get the unknown length L

2000 = L³

Rearrange

L³ = 2000

Take cube root of both sides

∛L³ = ∛2000

L = ∛2000

L = 12.599

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6 0

3 years ago

Help with number 6 please. thank you.

Gwar [14]

Answer:

See Below.

Step-by-step explanation:

We are given that:

$\displaystyle \frac{dT}{dt} = -k(T - T_0)$

And we want to show that:

$\displaystyle T = T_0+Ae^{-kt}$

From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:

$\displaystyle \frac{dT}{T-T_0}= -k\, dt$

Take the integral of both sides:

$\displaystyle \int \frac{dT}{T- T_0} = \int -k \, dt$

Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:

$\displaystyle \ln\left|T - T_0\right| = -kt+C$

Raise both sides to e:

$\displaystyle e^{\ln\left|T-T_0\right|} = e^{-kt+C}$

Simplify:

$\displaystyle \begin{aligned} \left| T- T_0\right| &= e^{-kt} \cdot e^C \\ \\ &= e^C\left(e^{-kt}\right) \\ \\ &=Ae^{-kt} & \text{Let $e^C = A$}\end{aligned}$

Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:

$\left(T - T_0\right) = Ae^{-kt}$

Therefore:

$\displaystyle T = T_0+Ae^{-kt}$

5 0

3 years ago

Read 2 more answers

for the following right triangle, find the side length x. round your answer to the nearest hundredth.​

for the following right triangle, find the side length x. round your answer to the nearest hundredth.