Answer:
The answer is A
Step-by-step explanation:
Supplementary angles are angles which add up to 180°
∠1 and ∠3 add up to 180°, so they are supplementary.
Answer: The last line is the answer
12 - 4x <u><</u> 20
20 - 12 = 8
-4x = 8
-4/4 = 8/-4
x = -2
New inequality: x <u>></u> -2
Step-by-step explanation:
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
A polygon has 5 sides you can find the length of one side by dividing the total perimeter of 18 by the number of sides of 5. giving you 3.6
Greater than! With negative numbers, the number closer to 0 is always the greater value. The number farther away from 0 is the lesser value. When we compare fractions with the same denominator, we have to compare to numerator. -2 is greater than -4, therefore -2/9 is greater than -4/9.
