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Nat2105 [25]
2 years ago
8

Find the volume of the composite figure below.

Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

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lorasvet [3.4K]

Answer:

x=−2 and y=−1

Step-by-step explanation:

<u>Problem:</u>

Solve y=x2;y=−x−3

<u>Steps:</u>

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

<u>Answer:</u>

x=−2 and y=−1

5 0
1 year ago
How do i find the area and perimeter?
Flura [38]
Calculating the area and the perimeter The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
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3 years ago
Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is
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Step-by-step explanation:

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3 years ago
Bryce tried to solve an equation step by step.
Aloiza [94]

$c=\frac{1}{3}

Solution:

Given equation is \frac{8}{3}=3c+\frac{5}{3}.

To solve the equation by step by step.

Step 1: Given

$\frac{8}{3}=3c+\frac{5}{3}$

Step 2: Combine like terms together.

Plus symbol changed to minus when the term goes from right to left (or) left to right of the equal sign.

$\frac{8}{3}-\frac{5}{3}=3c$

Step 3: Subtract the fractions in the left side.

$\frac{3}{3}=3c$

⇒ 1=3c$

Step 4: Divide both side of the equation by 3, we get

$\frac{1}{3} =\frac{3c}{3}$

$\frac{1}{3} =c$

Hence, the answer is c=\frac{1}{3}.

8 0
3 years ago
Read 2 more answers
F(x)=√x+11. Find the inverse of f(x).
MaRussiya [10]

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

5 0
2 years ago
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