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3 years ago

Please help :)

Mathematics

1 answer:

Degger [83]3 years ago

6 0

Answer:

189 feet

Step-by-step explanation:

the distance from the drop zone the paratrooper will land = h × tan 8°

= 1350 × 0.14 = 189 feet

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The height of a flare fired from the deck of a ship in distress can be modeled by h=-16t^2+104t+56, where h is the height of the

grin007 [14]

Answer:

7 seconds.

Step-by-step explanation:

We have been given that the height of a flare fired from the deck of a ship in distress can be modeled by $h=-16t^2+104t+56$ , where h is the height of the flare above water and t is the time in seconds.

The ball will hit the ground, when height will be 0 meters, so we will equate $h=0$ to find the time when ball will hit the ground as:

$-16t^2+104t+56=0$

Using quadratic formula, we will get:

$t=\frac{-104\pm\sqrt{104^2-4(-16)(56)}}{2(-16)}$

$t=\frac{-104\pm\sqrt{10816+3584}}{-32}$

$t=\frac{-104\pm\sqrt{14400}}{-32}$

$t=\frac{-104\pm120}{-32}$

$t=\frac{-104+120}{-32}\text{ or }t=\frac{-104-120}{-32}$

$t=\frac{16}{-32}\text{ or }t=\frac{-224}{-32}$

$t=-\frac{1}{2}\text{ or }t=7$

Since time cannot be negative, therefore, it will take 7 seconds for the flare to hit the ground.

7 0

3 years ago

EXAMPLE problem: 9.1 divided by 3576 rounded to the nearest whole number

Svetradugi [14.3K]

We have to divide 9.1 by 3576:
9.1 : 3576 = 0.0025447427
And rounded to the nearest whole number:
0.0025447427 ≈ 0

8 0

4 years ago

Read 2 more answers

1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?

Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

Step-by-step explanation:

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

1) To find the volume of the beach ball :

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

To find the radius :

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The given equation is $4^{x} = 64$

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0

3 years ago

?????? I don’t get it

QveST [7]

Answer:

His gain was greater on the first play because if you convert 2 yards to feet you get 6ft and 6 feet is greater than 5 feet which means the football player had a greater gain on the first play.

Step-by-step explanation:

1 yard is 3 ft

2yards x 3=6 ft

6ft> 5ft

first play> Second play

7 0

2 years ago

Read 2 more answers

10 points! How could you correctly rewrite the equation 4(5 + 3) = 2(22 – 6) using the distributive property?

atroni [7]

D.
4x5 + 4x3 = 2x22 - 2x6
20+12=44-12

6 0

3 years ago

Read 2 more answers