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2 years ago

Find the unknown side lengths

Mathematics

2 answers:

miss Akunina [59]2 years ago

8 0

Answer:

x = 26

Step-by-step explanation:

use the Pythagorean theorem

${a}^{2} + {b}^{2} = {c}^{2}$

${10}^{2} + {24}^{2} = {c}^{2}$

$= 676 = {c}^{2}$

$c = \sqrt{676}$

c = 26

GrogVix [38]2 years ago

4 0

Step-by-step explanation:

h = x

p = 10

b = 24

using pythagorean theorem

h² = p² + b²

h² = 10² + 24²

h² = 676

h = 26

thus , x = 26

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matrenka [14]

Answer: $v=\sqrt[]{\frac{2K}{m} }$

Step-by-step explanation:

$K=\frac{mv^2}{2}$

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

$2*K=\frac{mv^2}{2}*2$

$2K=mv^2$

Divide by m to isolate $v^2$ .

$\frac{2K}{m}=\frac{mv^2}{m}$

$\frac{2K}{m} =v^2$

To eliminate the square and isolate v, extract the square root.

$\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}$

$\sqrt[]{\frac{2K}{m} }=v$

let's rewrite it in a way that v is in the left side.

$v=\sqrt[]{\frac{2K}{m} }$

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2 years ago

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.

tankabanditka [31]

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
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To find the angle:
tan theta = opposite/adjacent
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3 years ago

Explanation and answer thanks

musickatia [10]

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3 years ago

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FinnZ [79.3K]

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Step-by-step explanation:

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2 years ago

Find the slope of the line that passes through (87, 91) and (88, -4).

Elanso [62]

<h2>Answer: slope = - 95</h2><h2> </h2>

Step-by-step explanation:

The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.

<u>Finding the Slope</u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (91 - (- 4)) ÷ (87 - 88)

= - 95

<em><u>Checking my answer:</u></em>

<em>Finding the Equation</em>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - (-4) = - 95 (x - 88)

y + 4 = - 95 (x - 88)

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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2 years ago