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Rina8888 [55]
3 years ago
13

The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the

diver jumps off a platform. Find the time it takes for the diver to reach the water.
(Solve using any method you wish.)
Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

-16t^2 -16 t +192 =0

divide whole equation by -16

t^2 +t -12 =0

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

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..........................
QveST [7]

Answer:

x = 0.954

Step-by-step explanation:

We apply pythagorean to find x

(4-x)² = 1.2² + 2.8²

(4-x)² = 9.28

✓(4-x)² = ✓(9.28)²

4 - x = 3.046

- x = 3.046 - 4

- x = -0.954

x = 0.954

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

7 0
2 years ago
Which expressions show the expanded form for 200.06? Choose all answers that are correct. A. 2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/
saveliy_v [14]

Answer:

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

Step-by-step explanation:

Given:

Number is

200.06

For option A)

2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

= 200 + 0 + 0 + 0.06

= 200.06

Which is CORRECT.

For option B)

2 × 100 + 0 × 1 + 0 × 1/100 + 6 × 1/1,000

= 200 + 0 + 0 + 0.006

=200.006

Which is INCORRECT.

For option C)

2 × 100 + 6 × 1/10

= 200 + 0.6

= 200.6

Which is INCORRECT.

For option D)

2 × 100 + 6 × 1/100

= 200 + 0.06

= 200.06

Which is CORRECT.

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

5 0
2 years ago
Will mark brainliest if CORRECT
Annette [7]

Answer:

For every 7 hair bands there will be 4 ribbons

7 hair bands →→ 4 ribbons

14 hair bands →→ 8 ribbons

21 hair bands →→ 12 ribbons

etc.

6 0
3 years ago
Simon says "five time my age 4 years ago is the same as three time my age in 2 years" how old is simon
omeli [17]

Simon is 13 years old

Let x be Simon's age

Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)

Hence 5(x - 4) = 3(x + 2)

distributing both sides gives

5x-20 = 3x + 6

subtract 3x from both sides of the equation

5x - 3x - 20 = 6

2x - 20 = 6

add 20 to both sides

2x = 6 + 20 = 26

divide both sides by 2

x = \frac{26}{2} = 13

Simon is 13 years old


7 0
3 years ago
A submarine dives 650 feet every 5 minutes and 5,200 feet every 40 minutes.
Olenka [21]

Answer:

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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