I believe the answer is A because its the only one that makes the most sense.
Answer:
Question 1 = c) Medium: 88 ft²
Question 2 = d) 46.7 ft³
Step-by-step explanation:
Question 1
We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.
The surface area of a square based pyramid(tent) =
a² + 2ah
Where in the diagram,
a = base length = 4 ft
h = height of the pyramid (tent ) = 9ft
Surface area = 4² + 2 × 4 × 9
= 16 + 72
= 88ft²
Therefore, the size tarp should she purchase is Medium: 88 ft²
Question 2
For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.
To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).
The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)
Where a = base edge
h = height of the pyramid.
From the diagram,
a = base edge => 4ft.
From the question,
h = height of the tent is given as how tall the tent is = 8.75ft.
Therefore, 1/3(a²h)
1/3 × (4ft)²× 8.75ft
= 46.67ft³
Approximately = 46.7ft³
Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³
It should be 54 because you half to divide 162 by 3
Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
= (x² - 9)(x - 5) ← distribute
= x³ - 5x² - 9x + 45
Answer:
44
Step-by-step explanation:
Lunch = 3 appetizers per guest
If there are 22 guests: 22 × 3 = 66 appetizers served
Dinner = 5 appetizers per guest
If there are 22 guests: 22 × 5 = 110 appetizers served
Difference = total dinner appetizers - total lunch appetizers
= 110 - 66
= 44
