On the top problem: Angle A and Angle B are a right angle so it equals 90 degrees. If Angle B is 50 degrees that makes Angle A 40 degrees. Angle A and Angle C is a straight line and equals 180 degrees so if Angle A equals 40 degrees that means Angle C equals 140 degrees.
Answer:
R = 4cm
Step-by-step explanation:
V = π(R)²h = 480π
Divide by π
(R)²h = 480
Substitute h with 30
30*(R)² = 480
Divide by 30
(R)² = 16
Square root
R = 4cm
We do not accept R= -4 because it's a length, so it must be positive.
40/3 days, (13.33 days)
Step-by-step explanation:
Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.
10 * 20 = 15x, x = 200/15 = 40/3
Why?
b/c if each pig eats the same amount of food, then the ratio between the number of pigs and days should remain constant.
Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.
So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.
We know 1 meter = 100 centimeters = 1000000 micrometers
So 1 centimeter = 10000 micrometers
Taking Cubic powers on both sides :-
1 cubic centimeters = 10¹² cubic micrometers
1 cubic micrometers = 10⁻¹² cubic centimeters
50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters
So volume of one cell = 5 × 10⁻¹¹ cubic centimeters
Number of cells =
= 2 × 10¹⁰ cells.
So, total number of cells = 2 × 10¹⁰ cells.
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.