The volume of the prism is the product of the area of its bases and the height.
V = A x h
Substituting the known values,
360 in³ = A x 4 in ; A = 90 in²
Out of all the choices given above, the dimensions of the bases that would give 90 in² as the area is letter B. 6 in by 15 in.
Answer:
angle 1 → 45°
angle 2 → 90°
Step-by-step explanation:
Since AC bisects ∠DAB then the measure of angle 1 is 90/2 = 45°
Since Lines AC and BD are perpendicular then the measure of angle 2 is 90°
Answer: f= -3x^2-x-1/ x
Step-by-step explanation:
Answer:
There were 40 cups of coffee and 19 cups of tea sold.
Step-by-step explanation:
Total number of cups sold = 59
Let the number of tea cups = x
Let the number of coffee cups = y
Then, ------------------- (1)
Total amount collected = $108.50
=> -------------------- (2)
From (1), ------------------------ (3)
Substituting in (2):
=>
=>
=>
=>
Substituting in (3):
=>
The dimensions of the rectangle can be a length of 2ft and a width of 4ft.
<h3>
How to find the dimensions of the garden?</h3>
Remember that for a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
In this case, we know that the area is 8 square feet and the perimeter is 12 ft, then we have a system of equations:
12ft = 2*(L + W)
8ft² = L*W
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate L on the first one:
12ft/2 = L + W
6ft - W = L
Now we can replace that in the other equation to get:
8ft² = (6ft - W)*W
This is a quadratic equation:
-W^2 + 6ft*W - 8ft² = 0
The solutions are given by Bhaskara's formula:
Then we have two solutions:
W = (-6 - 2)/-2 = 4ft
W = (-6 + 2)/-2 = 2ft
If we take any of these solutions, the length will be equal to the other solution.
So the dimensions of the rectangle can be a length of 2ft and a width of 4ft.
if you want to learn more about rectangles:
brainly.com/question/17297081
#SPJ1