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olchik [2.2K]
3 years ago
14

CAN SOMEONE PLEASE HELP ME???

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

Option A, x ≥ -2

Step-by-step explanation:

<u>Since the line is not dotted, that means that -2 is included.  Also, since the darkened part is toward positive infinity, that means that it is ≥.</u>

<u />

So, it is <em>x ≥ -2</em>

Answer:  Option A, x ≥ -2

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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
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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
The probability that Maria succeeds at any given free-throw is 75\%75%75, percent. She was curious how many free-throws she can
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Answer:

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Step-by-step explanation:

5/25

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R = 1.8/2 = 0.9

Area = 3.142 x 0.9^2

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2 years ago
Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?
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If f(x)=5x-1, then f^1(x)=
nordsb [41]

Answer:

(y+1)/5

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you meant f^-1(x) ?

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