Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere = , where r is the radius.
Then,
Hence, the maximum radius of the basketball that the designer can create is 3.7 in.
Answer:
Step-by-step explanation:
Subtract 13 from 17 to get the length of the base. Then add the 1, 1, and 3 together to get the height. Then you use the area formula for a triangle.
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.