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borishaifa [10]
3 years ago
14

If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained b

y multiplying t by 32 and adding 10 to the result. Find V as a linear function of t, and use this function to evaluate V(7.8), the velocity of the object at time t = 7.8 seconds.
A. V(7.8) = 257.6 ft per sec

B. V(7.8) = 260.9 ft per sec

C. V(7.8) = 259.6 ft per sec

D. V(7.8) = 258.9 ft per sec

E. None of these
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

259.6 ft/sec

Step-by-step explanation:

it is a universal standard that acceleration due to gravity is 32ft/sec^2.

Now it can be verified by equation,

V(f) = V(i)+at (1st equation of motion derived by Newton's three laws of motion)

where,

V(f) is final velocity

V(i) is initial velocity

a is acceleration which is constant and have value 32ft/sec^2

t is time which is given as 7.8 seconds

In the given case, initial velocity that is V(i) will be 0ft/sec. Because, on dropping, object will start to move under the influence of gravity from zero speed.

So,

V(f) = 0 +(32) (7.8)

V(f) = 249.6 ft/sec

Now the condition is given that you have to add a constant 10 to the answer.

so, V(f) = 249.6 + 10

      V(f) = 259.6 ft/sec

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This design shows several circles with the same center. The total radius of the design is 8 inches. The angle shown has a measur
Burka [1]

Answer:

11.33 in.  to the nearest hundredth.

Step-by-step explanation:

The perimeter of the shaded area =   length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.

Calculate the length of the outer arc:

This equals (30 / 360) * perimeter of the largest circle

= 1/12 * 2 π * 8

= 4/3 π in.

The inner circle has a radius of  8 - 2 = 6 ins

so the length of the inner arc

= 1/12 * π * 2 * 6

= π in.

So the perimeter of the shaded region = 4 + 4/3 π + π

= 4 + 7π/3

=  11.33 in.

7 0
3 years ago
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Need help 10 points
Citrus2011 [14]

Answer:

50.24

Step-by-step explanation:

8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4

(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)

(3.14*8^2)=200.96

200.96/4=50.24

3 0
2 years ago
8 times the total of x and 3
Pani-rosa [81]
8(x+3)
total means addition and times means multiplication so when you put it together you get 8*x+3 and because you want the total of x*3 you put it in parentheses
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8 0
3 years ago
Five toymakers each carved 28 blocksand 17 airplanes. Three other toymakerseach carved the same number ofairplanes and twice as
timofeeve [1]

Answer:

444

Step-by-step explanation:

28*5

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3 years ago
Please Please Help Me In These Math Questions!!!!’
Harman [31]

Answer:

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Step-by-step explanation:

m∠JLN = 90-48=42°

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = 180-42=138°

For the second question, things become somewhat more complex.

We know that ∠GHD = 2x° and ∠AGH (x+15)°.

You correctly calculated that x=15°.

∠AGE is equal to both 180-(x+15)° and 180-2x°. Either equation will work just fine.

∠AGE = 180 - (15 + 15) = 180 - 30 = 160°

So m∠AGE = 160°

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3 years ago
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