Answer:
First number = 4
Second number = 9
Step-by-step explanation:
If the first number = x, the second number = x + 5.
The calculation can be expressed as follows:
x + 2(x + 5) = 22
First, expand the bracket 2(x + 5):
x + 2x + 10 = 22
Combine like terms:
3x + 10 = 22
Subtract 10 from both sides:
3x = 12
Divide both sides by 3:
x = 4
First number = 4
Second number = 4 + 5 = 9
Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify

Answer: The correct answer is
Step-by-step explanation:
The answers would be 49,51,and53!
Answer:
16 m × 11 m
Step-by-step explanation:
The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.
The original length of gym = 20 m and original width of gym = 15 m
2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:
Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m
Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m
Therefore the dimensions of the basketball court is:
16 m × 11 m