Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is
.
Then area of parallelogram = 
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
C is correct dont worry your correct
Answer: The volume of the cardboard container is 516 centimeters cubed.
Explanation: The volume of a pentagonal prism is equal to the area of the base times the height of the pentagonal prism. The area of the base here is 43 centimeters squared and the height of the pentagonal prism is 12 centimeters. So we get 43 multiplied by 12, which equals 516, and the volume of a pentagonal prism is always written in cubes units, so our answer is that the volume of the cardboard container is 516 centimeters cubed.
Answer:
The height at time of 12.1 seconds is approximately 729.2562 feet
Step-by-step explanation:
The general form of the quadratic regression equation is y = A + Bx + Cx²
The quadratic regression formula is given as follows;








Solving using an online quadratic regression calculator, gives;
A = 2.5643259
B = 246.6374865
C = -15.41986006
Substituting gives;
y = 2.5643259 + 246.6374865·x -15.41986006·x²
When time, x = 12.1, we have;
y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet
The height at time of 12.1 seconds ≈ 729.2562 feet.