Area is a squared measure of the one-to-one measure of the figures. If the surface areas of the figures, from smaller to larger, are 36 and 49, by taking the square roots of those numbers, you get the perimeter measure of the figures, which is the one-to-one measure. The square root of 36 is 6, and the square root of 49 is 7. Now, in order to find the ratio of the volumes smaller to larger, we take that one-to-one measure and cube it, since volume is a cubed measure. We will set up the proportions to find the cubed measures first. My proportion will be set up with the smaller figure's info on top and the larger figure's info on bottom:
. Those are the cubed ratios. Now we will set up our equation to solve for the volume of the larger:
. Now we can cross-multiply to solve for x, the volume of the larger figure. 216x = 222264. Dividing both sides by 216 gives us a volume for the larger figure of 1029 inches cubed. There you go!
Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128
"Answer" and Explanation:
All I can tell is that x=60, and that the angle is also 60, since it is and equalateral triangle. I can't see anything about sides lengths nor can I tell what 'side' means, so yeah that's all I can say. Sorry that probably didn't help at all.
Answer:
0.9964 is the probability that at least one of them meets specifications.
Step-by-step explanation:
We are given the following in the question:
B: Bolts meet the specification
N: Nails meet the specification
P(B) = 96% = 0.96
P(N) = 91% = 0.91
One bolt and one nail are chosen independently.
Thus, we can write

We have to find the probability that at least one of them meets specifications.

0.9964 is the probability that at least one of them meets specifications.
Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />