91Ó°ÊÓ

The ratio of the areas of two similar trapezoids is \(1: 9 .\) What is the ratio of the lengths of their altitudes?

In Exercises \(13-16\), use a proportion to solve the problem. Ernie is a baseball pitcher. He gave up 34 runs in 152 innings last season. What is Ernie's earned run average- the number of runs he would give up in 9 innings? Give your answer to the nearest hundredth of a unit.

Phoung volunteers at an SPCA that always houses 8 dogs. She notices that she uses seven 35 -pound bags of dry dog food every two months. A new, larger SPCA facility that houses 20 dogs will open soon. Help Phoung estimate the amount of dry dog food that the facility should order every three months. Explain your reasoning. (IMAGE CAN'T COPY)

The sequence \(6,15,24,33,42, \ldots\) is an example of an arithmetic sequence - each term is generated by adding a constant, in this case \(9,\) to the previous term. The sequence \(6,12,24,48,96, \ldots\) is an example of a geometric sequence - each term is generated by multiplying the previous term by a constant, in this case 2 . Find the missing terms assuming each pattern is an arithmetic sequence, and then find the missing terms assuming each pattern is a geometric sequence. a. \(10,\text{_}, 40,...\) b. \(2,\text{_}, 50,...\) c. \(4,\text{_}, 36,...\)

Find the area of a regular decagon with an apothem about \(5.7 \mathrm{cm}\) and a perimeter \(37 \mathrm{cm}.\)

The ratio of the surface areas of two cubes is \(\frac{49}{81} .\) What is the ratio of their volumes?