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Marta_Voda [28]
3 years ago
8

What is the exact volume of the cylinder?

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0
V=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Llana [10]3 years ago
4 0

Answer:

320\pi in^3

Step-by-step explanation:

Volume of a cylinder formula = \pi r^2 h

where 'r' is the radius and 'h' is the height

From the given figure , radius = 8 in

height of the cylinder = 5 inches

Now we plug in the values in the formula

Volume of a cylinder formula = \pi (8)^2 (5)

= 320\pi

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Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a
dimaraw [331]

Answer:

  • <u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

  • hypotenuse² = leg₁² + leg₂²

  • hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

  • hypotenuse=\sqrt{208mile^2}=14.4mile^2, which is rounded to the neartest tenth of a mile.
8 0
3 years ago
If (fx)=5x, what is f^-1(x)
zysi [14]

Answer:

x/5

Step-by-step explanation:

To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)

f(x) = 5x

y = 5x

y/5 = x

Now that x is alone you switch the x for y and the y for x and you get:

x/5 = y

And this new y is the inverse function of f(x) ( f^-1(x))

f^-1(x) = x/5

6 0
3 years ago
Which graph represents the function f(x))=2•(1/3)^x
prisoha [69]

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

5 0
2 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
3 years ago
Multiply (x + 1)^3
Shalnov [3]
<h3>Answer: x3 +2 +x+x+</h3>

Step-by-step explanation:

6 0
3 years ago
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