Answer:
First, multiply the 5 by each of the terms inside the parentheses. Next, simplify each part of the expression and then add. The answer is 5(2+3)=25. The distributive property also works if there is subtraction inside the parentheses
Step-by-step explanation:
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ().
The cube's surface area = = = square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = = = square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
Answer:
6.3feet
Step-by-step explanation:
Given data
Radius= 4feet
The expression for the circumference of a circle is
C= 2πr
Substitute
C=2*3.142*4
C=25.136 feet
Also, a 90° arc is 1/4 of the circumference of a circle
Hence the length of the 90° arc is
=25.136/4
=6.284 feet
=6.3feet
Firstly, we need to know the price of the TV after the 110$ increase.
$165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]
Now for the sales tax. We apply a similar method.
$181.50 x 0.065 = $11.79
6.5% of $181.50 is $11.79, so we add the two together to find the final cost.
The final cost of the TV is $193.29