A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectan
1 answer:
The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides square inches.
The total surface area of the prism square inches.
The surface area of the pentagonal prism is 648 square inches.
You might be interested in
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:
Given:
Compute the value of the test statistic as follows:
Thus, the value of the test statistic is 4.70.