Answer:
The diameter is twice that, or approx. 7.90 units.
Step-by-step explanation:
the equation for the volume of a cylinder of radius r and height h is
V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:
V
r² = -----------
πh
Substituting the given values, we obtain for r² the following:
145 units³
r² = ------------------------ = 15.6 units²
3.14159(5 units)
Taking the square root of both sides, we get:
r = √15.60, or approx. 3.95 units.
The diameter is twice that, or approx. 7.90 units.
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =![5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20%5BMultiplying%20both%20sides%20with%205%20%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B4%2B1%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D)
=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
Answer:
19
Step-by-step explanation:
f(x) = 3x^2-3x + 1
Let x = -2
f(-2) = 3( -2)^2-3*-2 + 1
= 3 * 4+6+1
= 12 +6+1
= 19
Answer:
1/4 cup of bananas
Step-by-step explanation:
1/6 cup of bananas = 2/3 cup of apples
1/6 cup of bananas = 4/6 cup of apples
1/24 (1/6 ÷ 4 since 4/6 cup of apples is 4 units and we need 1 unit) cup of bananas = 1/6 cup of apples
1 cup of apples = 1/4 (1/24 x 6 for 6 units) cup of bananas
