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3 years ago

How would i anser this select all the ratios equivalent to 4:6

1 answer:

6 0

If we try to simplify the ratio or try to multiply both by any number, we will get the equivalent ratio

Like :

$\frac{4}{6} \\$

Divide ( simplify ) by 2

$\frac{ \frac{4}{2} }{ \frac{6}{2} } \\ \\ \\ = > \frac{2}{3}$

Or multiply by any number,

$\frac{4}{6} \\ \\ \\ = > \frac{4 \times 2}{6 \times 2} \\ \\ \\ = > \frac{8}{12}$

From the example, 2 / 3 and 8 / 12 are equivalent ratios to 4 / 6

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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

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0

4 years ago

Read 2 more answers

Sam puts $500 in the bank and does not put any more money in or take any out for eight years. He receives 6% interest yearly, co

drek231 [11]

Answer:

$894

Step-by-step explanation:

0.06 x 500 x 8^1.25 (-9)= 500+ 403 = $903-9= $894

1.25 = 1/8 of 1 (-9)

1=each power.

8th year = $843.75

9th year = $894

Semi annually you can do the same as 16/1 -17

5 0

3 years ago

What’s the area of this triangle?

tankabanditka [31]

Answer:

26.75

Step-by-step explanation:

There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.

The first is A=(b*h)/2

In this case you need to find the height using a²+b²=c²

Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.

3.8²+x²=8²

14.44+x²=64

x²=49.56

x=7.039 -now you have the height for the triangle and can use this to find the area

A=b*h (in this case we dont have to divide by two since we need two triangles because we split the original in two to find the base of 3.8)

so it's 3.8*7.039=26.75

(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"

It will teach you the formula $A=\sqrt{s(s-a)(s-b)(s-c)}$ which teaches you to find the area of any triangle when all you are given is three sides