When Alice went to the print shop, she was confronted with many choices of sizes: 7-inch by 9-inch, 8-inch by 10-inch, and 12-inch by 16-inch. She's afraid that if she picks the wrong size, part of the photo will be cut off. Which size should Alice pick and why?

12-inch by 16-inch- it's the largest available and can be reduced to scale for smaller photos.

Step-by-step explanation:

-Given the dimensions 7-inch by 9-inch, 8-inch by 10-inch, and 12-inch by 16-inch:

#If Alice buys 7-inch by 9-inch and the photo turn's out to be a 8-inch by 10-inch or 12-inch by 16-inch then part of her photo will be cut off.

Hence, Don't buy.

#If Alice buys 8-inch by 10-inch and the photo turn's out to be a 12-inch by 16-inch then part of her photo will be cut off. However, if the photo is a 7-inch by 9-inch then it will fit.

Hence, don't buy.

#If Alice buys a  12-inch by 16-inch and the photo turns out to be smaller than expected the she can always print it out and trim or reduce the to scale excessive print paper to the desire dimensions.

Hence, buy  the 12-inch by 16-inch since it's the largest available and can be reduced to scale for smaller photos.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.