From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.
<h3>How do you determine the maximum side length?</h3>
We are given the following details are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b²
The total surface area is calculated using:
T = L + b²
So, we have:
T = 10b² + b²
Evaluate the sum
T = 11b²
Recall that the maximum surface area is 50,000 square feet
So, we have:
11b² = 50000
Divide both sides by 11
b² = 50000/11
Taking the square root of both sides, we have
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Learn more about square pyramids at:
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6 × 9 ÷ 18 + 100 - 11 + 4
Use the order of operations to simplify:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
6 × 9 ÷ 18 + 100 - 11 + 4
There are no parentheses or exponents, so multiplication comes first. Multiply 6 and 9.
54 ÷ 18 + 100 - 11 + 4
Next is division. Divide 54 by 18.
3 + 100 - 11 + 4
Finally, add and subtract from left to right.
103 - 11 + 4
92 + 4
96
<h3>
Answer:</h3>
96
Answer:
714
Step-by-step explanation:
So lets go over what we know.
The bus only goes for 6 hours each day.
So lets just think of a full day as 6 hours.
Each day(6 hours), 4284 passangers ride the bus.
To find passangers per hour, we must divide the total passangers by the total hours.
This is 4284(total passangers) divided by 6(total hours):
4284/6
=
714
So each hour, there are 714 passangers.
Hope this helps!
Answer: The tree is 4 feet tall.
Step-by-step explanation: 5/2=x/10
2 x 10=20
20/5=4
Answer:
6 cm
Step-by-step explanation: