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musickatia [10]
2 years ago
9

A ball is thrown from an intial height of 5 feet with an intial upward velocity of 17 ft/s. The ball's height h in feet after t

seconds is given by the following.
h=5+17t-16t^2

Find all values of t for which the ball's height is 9 feet.
Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

Answer:

-16t²+17t+7=11

==>16t²-17t+4=0

Δ=17²-4*4*16=33

==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)

or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

Step-by-step explanation:

plz give brainliest

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What changes occurred in the United States as a result of the cotton gin?
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While it was true that the cotton gin reduced the labor of removing seeds, it did not reduce the need for slaves to grow and pick the cotton. In fact, the opposite occurred. Cotton growing became so profitable for the planters that it greatly increased their demand for both land and slave labor
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I need help i dont know what to do
vladimir1956 [14]

9514 1404 393

Answer:

  ∠CAB = 28°

  ∠DAC = 64°

Step-by-step explanation:

What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.

<u>Left</u>

Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...

  x + x + ∠AEB = 180°

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  x = 28°

The measure of angle CAB is 28°.

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<u>Right</u>

Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.

  ∠BCA = ∠DAC = 64°

The measure of angle DAC is 64°.

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8 0
3 years ago
1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

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Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle.

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Answer:

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Step-by-step explanation:

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