Answer:
the expression is not factorable with rational numbers.
1 hour = 4/5 gallon
8 gallon ÷ 4/5
= 8/1 × 5/4
= 40/4
= 10
the answer is A
The amount of fabric needed to cover 8 blocks is 192cm.
<h3>How much fabric is needed to cover 8 blocks?</h3>
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
- l = length
- w = width
- h = height
2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
To learn more about rectangular prisms, please check: brainly.com/question/8890358
Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
Answer:
Step-by-step explanation:
(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a
=[cos (4a-2a)]/sin 4a
=(cos 2a)/sin 4a
=(cos 2a) /(2 sin 2a cos 2a)
=1/(2 sin 2a)
=1/2 csc 2a
