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USPshnik [31]
3 years ago
5

Given the formula,v= 4.5 + at,find the value of v when a=1.6 and t=3.5.​

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

v=10.1

Step-by-step explanation:

v= 4.5 + at  -------> equation 1

given

a=1.6

t=3.5

so we will plug in the value in equation 1

v = 4.5 + (1.6 x 3.5)

v = 4.5 + 5.6

v = 10.1

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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
It takes 1/5 a cup of flour to make one small pizza. How many small pizzas could be 7/10 made with
Anit [1.1K]

Answer:

3 1/2 small pizzas

Step-by-step explanation:

1/5 = 1 pizza

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7 0
3 years ago
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nordsb [41]

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4 0
3 years ago
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amid [387]

Answer:

x=-1-5√17/2

Step-by-step explanation:

logo((x-2)(x+2))=2

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2 years ago
Can someone help please
Alik [6]

Answer:

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11x = 66

x = 6

5 0
3 years ago
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