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3 years ago

Which of the following options have the same value as 20% of 45 (choose 3 answer)

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

20% of 45 is 9,

Step-by-step explanation:

So the answer must be 9 for an example 50% of 18 is 9 because to find 50% of something simply divide by 2 .10% of 90 is 9 because to find 10% of something divide by 10. 25% of 36 is 9 because you divide by 4 to get 25% of anything.

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

You have a new pool and want to know it's volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can t

MrRa [10]

Answer:

769 cubic ft

Step-by-step explanation:

Its volume:

Find the volume of a cylinder of radius 7 ft and length 5 ft:

The basic formula for his volume is V = πr²h. In this case, the volume is:

V = 3.14(7 ft)²(5 ft) = 769 cubic feet of water.

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3 years ago

admissions to a carnival is $5 and each game at the carnival costs 0.85 you have $15 to spend on admissions and games what is th

prisoha [69]

You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.

So the maximum amount of games that you could play would be 11 games.

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3 years ago

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos

adoni [48]

Antonio tiene 5 y Juan tiene 20

6 0

3 years ago

Need help with number 2 please help. Due today!!

Blababa [14]

Answer:

Radius = 9

Step-by-step explanation:

Circumference = 2πr

2πr = 18 ×3.14

2πr = 56.5

6.28r = 56.5

r = 56.5/6.28

r = 9.04 round off , 9

3 0

3 years ago