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3 years ago

Are the ratios 25/45 and 15/27 proportional? Explain.

1 answer:

6 0

Write them out as a fraction then reduce them. If theyre the same then its proportional.

25/45 can be cancelled down to 5/9

15/27 can be cancelled down to 3/9

So no theyre not.

You might be interested in

Which expression is equivalent to

KonstantinChe [14]

Given the expression:

$\sqrt[4]{ \frac{24x^{6}y}{128x^{4}y^{5}}}$

Simplifying:

$\sqrt[4]{ \frac{3x^{2}}{16y^{4}}}$

Then the answer is:

$\frac{ \sqrt[4]{3x^{2}}}{2y}$

6 0

3 years ago

A cylinder has a height of 4 inches greater than the radius of its base. Find the radius and the height to the nearest inch if t

anastassius [24]

Answer:

$h=5in, r=1in$

Step-by-step explanation:

The volume of a cylinder is:

$V=\pi*r^2*h$

where $r$ is the radius and $h$ is the height.

The height is 4 inches greater that the radius, so:

$h=r+4in$

Substituting this in the formula for volume:

$V=\pi*r^2*(r+4)$

the volume is $V=5\pi in^3$

thus:

$5\pi in^3=\pi*r^2*(r+4in)$

Dividing everything between pi:

$5in^3=r^2*(r+4in)$

$5in^3=r^3*+4r^2$

We can see that the solution for this is $r=1in$

since $(1)^3*+4(1)^2=1+4=5$

We have the radius, now we find the height:

$h=r+4in=1in + 4in = 5in$

$h=5in, r=1in$

7 0

3 years ago

Read 2 more answers

Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).

34kurt

Answer: 8.9 units (choice C)

Explanation:

We plug $(x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\$ into the distance formula to get the following

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\$