Answer:
Therefore the volume of the cylinder
cubic units
Step-by-step explanation:
Given height of a cylinder is (h) =2x+7
and radius (r)= x-3
Volume of the cylinder = 
cubic units
Therefore the volume of the cylinder cubic units
Answer:
a. 78.6 square feet
b. $7.86
Step-by-step explanation:
a. This simply asks us to calculate the area of the 10 feet diameter pool
Formula for area of circle is ;
pi * r^2 = pi * d^2/4
so Area = 22/7 * 10^2/4 = 78.60 square feet
b. This will be the area of the blanket multiplied by the price per square foot of the blanket
Mathematically, we have that as;
78.60 * 0.1 = $7.86
when you are comparing 1/2 to 3/6. this is because you know that 1/2 is equal to 3/6. You are very welcome, and thank you for the challenge.
Coordinates are written in the form (x,y), x being a certain length along the horizontal x axis and y being a certain height along the vertical y axis. Positive y numbers are in the top half of the plane and negative y numbers are on the bottom. Positive x numbers are on the right side of the plane and negative x numbers are on the left. Therefore, (3,-7) would be 3 across to the right from the origin (where the x and y axes intersect) at (3,0) and 7 downwards from that point to (3,-7).
A regular trapezoid is shown in the picture attached.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6
Last, we have all the information needed in order to calculate the area by the formula:
A = (7 + 5) × 2√6 ÷ 2
= 12√6
The area of the regular trapezoid is
12√6 square units.
