The area of the square pyramid building is the amount of space on it
The maximum base length of the building is 67.42 cm
<h3>How to determine the maximum side length?</h3>
The given parameters 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 = 10b^2
The total surface area is calculated using:
T = L + b^2
So, we have:
T = 10b^2 + b^2
Evaluate the sum
T = 11b^2
The maximum surface area is 50,000 square feet
So, we have:
11b^2 = 50000
Divide both sides by 11
b^2 = 50000/11
Take the square root of both sides
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Read more about square pyramids at:
brainly.com/question/27226486
Answer:
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
12% = 12/ 100 = 0.12
Given the population proportion, P = 0.12
The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.
Hence, the alternative hypothesis will be ;
H1 : P > 0.12
The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;
The null hypothesis ; H0 : P ≤ 0.12
Therefore, we have :
H0 : P ≤ 0.12
H1 : P > 0.12
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
33.33%
Step-by-step explanation:
Decrease in price= Original price -- New price
= $6 - $4
= $2
Percentage decrease= $2÷$6 × 100
= 33.33%
