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3 years ago

Teresa needs twice as many feet of wood as Samuel how many pieces of wood does the recent need explain your answer

1 answer:

4 0

Well all you have to do is add the number Teresa has by itself or multiply it be 2. Because Teresa needs twice as many as Samuel so all you have to do is multiply it by 2.

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A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

I need help with this

12345 [234]

Are you solving for x and y? 5y + 2(6x) would just be 5y + 12x

6 0

3 years ago

Evaluate -4² please hurry

alexgriva [62]

squaring something multiplies it by itself. -4^2 = -4*-4 = 16

8 0

3 years ago

Read 2 more answers

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasonin

guajiro [1.7K]

Step-by-step explanation:

If x + 7 is a factor of f(x), then f(-7) = 0.

f(-7) = (-7)³ − 3(-7)² + 2(-7) − 8

f(-7) = -343 − 147 − 14 − 8

f(-7) = -512

x + 7 is not a factor of f(x).

4 0

3 years ago

11 and 1/6 as a decimal

LiRa [457]

11 as a decimal would be : 11.0
1/6 as a deximaal would be : .166667

Hope this helps!

7 0

3 years ago

Read 2 more answers