Answer:
<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius = 9 feet
Height = 13 feet
2. What is the exact volume of the cone?
We will use the following formula to calculate the volume of the cone:
Volume of the cone = π * Radius² * Height/3
Volume of the cone = 3.1416 * 9² * 13/3
Volume of the cone = 3.1416 * 81 * 13/3
Volume of the cone = 3.1416 *9² * 13/3
<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
Exact Form: -245/12 , Decimal Form: -20.4166666, or Mixed Number Form: -20 5/12
Answer:
Domain is 3 <x>_-2
Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)
Step-by-step explanation:
First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than <em>or equal to. </em>So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2
Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.
Answer is D.) 48π ft²
Given:
3 circular rugs.
radius: 4 ft
Area of a circle = π r²
A = 3.14 * (4ft)²
A = 3.14 * 16ft²
A = 50.24 ft²
Total area of 3 rugs
50.24 ft² * 3 rugs = 150.72 ft²
Equation leaving π.
150.72ft² ÷ 3.14 = 48ft²
D.) 48π ft²
