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iris [78.8K]
3 years ago
12

The equation gives the speed at impact, V metres per second, of an object dropped from a height of h metres. SHOW WORK From what

height must an object be dropped to impact the ground at a speed of 18.6 m/s?
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

h = 17.65 m

Step-by-step explanation:

The given equation gives the speed at impact :

v=\sqrt{2gh}

h is height form where the object is dropped

Put v = 18.6 m/s in the above equation.

h=\dfrac{v^2}{2g}\\\\h=\dfrac{(18.6)^2}{2\times 9.8}\\\\h=17.65\ m

So, the object must be dropped from a height of 17.65 m.

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A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What
Alenkasestr [34]
Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

6 0
3 years ago
Read 2 more answers
!!30 points!!<br> Are points A, B, and E collinear or noncollinear?
NeX [460]

A. Noncolinear

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

7 0
4 years ago
Elmer sees a flying saucer. The radius of the flying saucer is 17 feet. What is the area of the flying saucer (use 3.14 for pi a
sergiy2304 [10]

Answer:

Area of the flying saucer = 907.46 ft^2

Step-by-step explanation:

The Flying saucer is in the shape of a circle.

Radius= 17 feet

Area of the circular flying saucer= \pi *r*r

                                                                         :\pi =\frac{22}{7} =3.14

                                  Area= 3.14*17*17

                                     

  Area of the flying saucer =3.14*289\\\\    =907.46 ft^2

So, the area of the flying saucer is 907.46 ft^2

8 0
4 years ago
Answer the question above ​
Vera_Pavlovna [14]

Answer:

tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)

Option A is correct.

Step-by-step explanation:

We need to find equivalent of tan\:\left(\frac{5\pi }{6}\right)

First we solve tan\:\left(\frac{5\pi }{6}\right)

We get -\frac{1}{\sqrt{3} }

Now checking all the options.

Option A: tan\:(-\frac{\pi}{6} )

Solving tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}

Option B: tan\left(\frac{7\pi }{6}\right)

Solving tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}

Option C: cot\left(\frac{5\pi }{6}\right)

Solving cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }

Option D : tan\left(-\frac{5\pi }{6}\right)

Solving tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }

So, looking at the options, only Option A has the same result as given question

So, tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)

Option A is correct.

3 0
3 years ago
on average, Jonny can pick 2/3 of the ripe apples on an apple tree in 1/2 an hour .At this rate, how long will it take him to pi
Sophie [7]

Answer:

18h

Step-by-step explanation:

let the number of ripe apples on a tree be x

2x/3 = 1/2

x = 1/2 ÷ 2/3 = 3/4

time taken for him to pick all the ripe apples from 1 tree = 3/4 h

total amount of time taken = 24 x 3/4 = 18h

8 0
3 years ago
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