Answer:
The value of
Step-by-step explanation:
Let's recall the the formula for volume of a pyramid.
Volume of a Pyramid ....equation
where and
Now we have been given the values of and and have to find the value of
Plugging the values of and in equation
Now we can also check our previous results.
So, our final answer is
Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
The equation is
2p=p (1+r)^t
2=(1+r)^t ....equation
Where r is the interest rate 0.05
Solve the equation for t
T=log (2)÷log (1+r)
T=log(2)÷log(1+0.05)
T=14.2 years
round your answer to get
T=14 years
Answer:
1
Step-by-step explanation:
"Combinations" means you don't care about the order. There is only one way to choose all of the items when their order doesn't matter.
Answer:
c
Step-by-step explanation: