Answer:
<u>11098 cm³</u>
Step-by-step explanation:
<u>Volume of top prism</u>
- V = 62 x 3 x (13 - 7)
- V = 186 x 6
- V = 1116 cm³
<u>Volume of bottom prism</u>
- V = 62 x 23 x 7
- V = 1426 x 7
- V = 9982 cm³
⇒ Total volume = Volume (top) + Volume (bottom)
⇒ Total volume = 1116 + 9982
⇒ Total volume = <u>11098 cm³</u>
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Answer:
400 ft²
Step-by-step explanation:
The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²
Answer:
Third answer
Step-by-step explanation:
1 x 7 = 7
36 x 7 = 252
Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.
