Answer:
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
where
b is the length side of the square base
h is the height of the triangular face
Remember that
Each lateral triangular face is a triangle 45°-90°-45°
so
we have
so
substitute in the formula
![SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}](https://tex.z-dn.net/?f=SA%3D6%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%29%5D%3D72%5C%20ft%5E%7B2%7D)
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
Answer: 0.0766
Step-by-step explanation:
Let x be the random team scores.
Given: Mean = 76
Standard deviation = 8.4
We assume that x follows normal distribution.
The probability that a random team scores less than 64 points = P(x<60)
Hence, the probability that a random team scores less than 64 points =0.0766
Answer:
Any value of x
makes the equation true.
All real numbers
Interval Notation:
(−∞,∞)
Step-by-step explanation:
Any value of x makes the equation true.
Answer:
The value of x from the equation is 100. Thus, Mrs. Gleason should work for 100 hours per month.
Step-by-step explanation:
To answer this item, we let x be the number of hours per month that Mrs. Gleason should work. The total budget is equal to sum of the amount acquired by Mr. Gleason and Mrs. Gleason. The equation that would express this is,
4,500 = 900(4) + 9x
The value of x from the equation is 100. Thus, Mrs. Gleason should work for 100 hours per month.
I am sorry if you get this wrong.
