All categories

3 years ago

Estimate 15 square root to the nearest ten

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

About 4 I the answer

You might be interested in

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Bond [772]

Answer:

The time that the rocket will hit the ground will be:

x = 17.40 seconds

Step-by-step explanation:

Given the expression

$f\left(x\right)\:=-16x^2+272x+110$

Here:

x represents the time in seconds

y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

$0\:=-16x^2+272x+110$

solving for x to determine the time that the rocket takes when it will hit the ground.

$-16x^2+272x+110=0$

subtract 110 from both sides

$-16x^2+272x+110-110=0-110$

$-16x^2+272x=-110$

Divide both sides by -16

$\frac{-16x^2+272x}{-16}=\frac{-110}{-16}$

$x^2-17x=\frac{55}{8}$

$\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}$

$\left(x-\frac{17}{2}\right)^2=\frac{633}{8}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{17}{2}=\sqrt{\frac{633}{8}}$

$x=\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = 17.40 seconds

also solving

$x-\frac{17}{2}=-\sqrt{\frac{633}{8}}$

$x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

x = 17.40 seconds

4 0

3 years ago

What is 76 plus one equals

enot [183]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the number in two other forms 119,000,003

andriy [413]

1--> one hundred nineteen million, three

2--> 100,000,000 + 10,000,000 + 9,000,000 + 3

4 0

3 years ago

Read 2 more answers

Help pleaseeeeeeeeee

Allisa [31]

Range is directly correlated by the K of the function. since K is 1, the answer is B

4 0

3 years ago

Read 2 more answers

Which numbers are a distance of 3 units from 12 on the a number line?

Mamont248 [21]

It would be B, hope i could help out.

3 0

3 years ago

Read 2 more answers