Answer: It will take 19.5 one-gallon containers
Explanation: We know that 1 liter is 0.26 gallons
All we need to do is to make a ratio
1 75
---- -----
0.26 ?
We need to do what we did on the top (times 75 to get 75) on the bottom (times 75 to get 19.5)
Hope this helps!
( - ∞, 3) ∪ (3, ∞ )
The domain is the set of values of x which make f(x) defined
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 3 = 0 ⇒ x = 3
domain : (- ∞, 3) ∪ (3, ∞ )
Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
Answer:
84 degrees
Step-by-step explanation:
To find the measure of angle a you must first find m<CED. To do this remember every triangle has a measure of 180.
180-(43+35)=102, that means m<CED=102. Also m<CED=m<AEB because they are vertical angles. So now do the same operation but for the other triangle 180-(102+18)=84. So m<A=84.
