Question

write the ratio of the first measurement to the second measurement.

1. length of a tennis racket: 2 ft 4 in.

length of a table tennis paddle: 10 in.

1. height of a table tennis net: 6 in.

height of a tennis net: 3 ft

1. diameter of a table tennis ball: 40 mm

diameter of a tennis ball: 6.8 cm

1. length of a tennis court: 26 yd

length of a table tennis table: 9 ft

1. baseball a baseball team played 154 regular season games. the ratio of the number of games they won to the number of games they lost was \\(\frac{5}{2}\\). how many games did they win? how many games did they lose?
2. the measures of two supplementary angles are in the ratio 5 : 7. what is the measure of the larger angle?
3. the lengths of the sides of a triangle are in the extended ratio 6 : 7 : 9. the perimeter of the triangle is 88 cm. what are the lengths of the sides?
4. the measures of the angles of a triangle are in the extended ratio 4 : 3 : 2. what is the measure of the largest angle?

Explanation:

Let's solve problem 9: "length of a tennis racket: 2 ft 4 in. length of a table tennis paddle: 10 in. Write the ratio of the first measurement to the second measurement."

Step 1: Convert units to be consistent

First, convert the length of the tennis racket from feet and inches to just inches. We know that 1 ft = 12 in, so 2 ft = 2 * 12 = 24 in. Then add the 4 in: 24 + 4 = 28 in. The length of the tennis racket is 28 in, and the length of the table tennis paddle is 10 in.

Step 2: Find the ratio

The ratio of the first measurement (tennis racket) to the second (table tennis paddle) is 28 : 10. We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 2. So, 28 ÷ 2 = 14 and 10 ÷ 2 = 5. So the simplified ratio is 14 : 5 or $\frac{14}{5}$.

Answer:

The ratio is $\frac{14}{5}$ (or 14 : 5)