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shtirl [24]
3 years ago
11

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

Area = 3*3 + 3*4 = 9 + 12 = 21

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A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0
3 years ago
HELP PLEASE IS FOR TODAY
babunello [35]

Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

5 0
3 years ago
Ow many significant figures are in the number 0.0040090?
Bumek [7]

5 significant figures but note that 0 is only non-significant when it begins a decimal its only significant when it's in between numbers or after a number

7 0
3 years ago
Calculate the Average of...
lesantik [10]
You add them and then divide by how many numbers there are.

a. (3+43)/2 = 23
b. 0
c. -1
3 0
3 years ago
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the perimeter of a picture frame is 24 inches if the width of the picture frame 5 inches what is the length of the picture frame
Ket [755]
You would divide 24 by 5 so the length would end up being: 4.8 in 
                  Hope it helps!
7 0
3 years ago
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