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Ad libitum [116K]
3 years ago
10

34. CONSTRUCTION A construction worker is working on the roof of a

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

s=ut+\dfrac{1}{2}at^2

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s

So, it will hit the ground at 6.77 s.

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3, 10, 17, 24. what is the 50th term in the sequence
Kamila [148]
Check if you can write an equation relating the term number to the actual value
n1=3
n2=10 = 3+7
n3= 17 = n2+7 = n1+7+7 = n1 +2*7
n4= 24 = n1+3*7

so you will notice a pattern
for the x-th term

n_x =3+(x-1)*7

the 50th term would be n_50 = 3+(50-1) * 7
4 0
2 years ago
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far
rusak2 [61]
280 divided by 7 equals 40 and forty times 12 equals 480 so the answer is 480
8 0
3 years ago
Choose the correct converse.
PIT_PIT [208]
B is the answer to your question
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3 years ago
Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen
mojhsa [17]

Answer:

y=\frac{\pi }{6}+5.196(x-3)

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side \frac{dy}{dx}=m=6cosx

As it passes through the point (\frac{\pi }{6},3)

So \frac{dy}{dx}=6cos\frac{\pi }{6}=5.196

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point (\frac{\pi }{6},3)

So unit vector will be y-\frac{\pi }{6}=5.196(x-3)

y=\frac{\pi }{6}+5.196(x-3)

5 0
3 years ago
Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
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