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3 years ago

10

A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch th

e building if it makes the same angle with the ground as the longer ladder?

1 answer:

Oliga [24]3 years ago

6 0

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

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PLZ HELPPPP<br><br> C candies cost 5 dollars. how much money would 12 dollars cost?

Sladkaya [172]

12 divided by 5 = 2.4

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2 years ago

Read 2 more answers

40% of what number is equal to 28?

posledela

Answer:

70

Step-by-step explanation:

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3 years ago

Use chain rule to find dw/dt w=ln(x^2 + y^2 + z^2)^(1/2) , x=sint, y=cost, z=tant

son4ous [18]

The chain rule states that

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

Since $\ln(x^2+y^2+z^2)^{1/2}=\dfrac12\ln(x^2+y^2+z^2)$ , you have

$\dfrac{\partial w}{\partial x}=\dfrac x{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial x}=\dfrac y{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac z{x^2+y^2+z^2}$

and

$\dfrac{\mathrm dx}{\mathrm dt}=\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=\sec^2t$

Also, since $x^2+y^2+z^2=\sin^2t+\cos^2t+\tan^2t=1+\tan^2t=\sec^2t$ , the derivative is

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\sin t\cos t}{\sec^2t}-\dfrac{\sin t\cos t}{\sec^2t}+\dfrac{\tan t\sec^2t}{\sec^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\tan t$

4 0

2 years ago

The following cube has a volume of 8000 cm3. Find the length of one side of the cube.

Artemon [7]

<span>Vcube = Ledge^3
8000cm^3 = Ledge^3

use the cube root of each side and you have the measure of an edge in cm.

8000^(1/3) = 20
every edge is 20 cm

20^2 = 400
The area of each face is 400 cm^2. </span>

6 0

2 years ago

What is the answer ?

fomenos

Answer:

19/60 or .317

Step-by-step explanation:

C = 95/300

95/300 = 19/60

19/60 = .317

3 0

1 year ago