Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
Write the equation of the line passing through the points (-7,5) and (-5,9):

.
You also have another two points (-3,13) and (-1,17). Look whether coordinates of these points satisfy the line equation:
1. For (-3,13) you have

;
2. For (-1,17) you have

.
Conclusion: All four points lie on the line y-5=2(x+7), so <span>the relationship shown by the data is linear.</span>
Answer: Correct choice is D.<span />
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:

Then, you can find the height:

Then, knowing that:

You can calculate the volume:

The widths of the bars are equal to ensure that numbers aren't represented improperly. If a bar was wider than another that was the same height, it could be misinterpreted as being larger.
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
<u>Determine the 99% confidence interval for difference in proportion</u>
applying the formula below
( P1 - P2 ) ± Z ( 
Input values above into equation
confidence interval = ( -0.38 , 0.08 )