Answer:
Step-by-step explanation:
<u>Volume of the pyramid:</u>
<u>Volume of the prism:</u>
<u>Since all dimensions remain as is, the volume of the prism is:</u>
- lwh / (lwh/3) = 3 times greater
Answer:
a) 25% are bad
b) 75% are good
Step-by-step explanation:
We know that there are 300 oranges total and that 75 are bad. That means that the rest are good (implied).
300 - 75 = 225 good oranges.
So to find the percentage we have to take the selected amount divided by the total amount.
Bad Apples: Good Apples:
75 / 300 = 0.25 225/300 = 0.75
However, that's a decimal or <em>a number out of 1, </em>we need a percent or <em>a number out of 100.</em> So we have to multiply both numbers by 100.
Bad Apples = 25%
Good Apples = 75%
Answer:
R = 6
Step-by-step explanation:
Remember... Circle area is:
A = pi×R^2
Where R is the circle radius.
Then,
Pi×R^2=36×Pi
R = square root of 36
R = 6
Step-by-step explanation:
the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.
so,
y² + 7 = 32
y² = 25
y = 5
2y² = k
2×5² = k
50 = k
the opposite angle of 150 is also 150 degrees.
the opposite angle of x is also x.
so, we have as sum of angles
360 = 150 + 150 + x + x = 300 + 2x
60 = 2x
x = 30 degrees
Answer:1
V = 62.1262 cubic inches
Step-by-step explanation:
The formula for volume of a cone is V = (1/3)πr²h where r is the radius of the base, and h is the height.
We are given the height, h = 7 1/2 inches, or 15/2 inches
We are given the diameter of the base of 5 5/8 inches, or 45/8 inches
The radius is half the diameter, so divide 45/8 by 2. The radius is 45/16.
Plug these values into the formula and find V
V = (1/3)π(45/16)²(15/2)
V = 30,375π/1,536 = 62.12622191
rounding to 4 decimal places gives us 62.1262 cubic inches
