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Ahat [919]
3 years ago
15

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

8 cm

Step-by-step explanation:

volume of a cylinder is v=pi x r^2 x h

substitute in what we know

3785= pi x r^2 x 19

3785=59.69 x r^2

subtract 59.69 from both sides

3725.31=r^2

square root of 3725.31

61

square root of 61

= about 8

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Find the value of x. Then tell whether the side lengths from a Pythagorean triple sides 20,16 find x
Tema [17]

Answer:

x = 12

Step-by-step explanation:

Pythagorean triplet

12,16,20

So, the value of x is 12

x + 256 = 400

x = 400 - 256

x = 144

The square of 12 is 144

6 0
3 years ago
Work out the area of this circle.
Reptile [31]

Answer:

\huge\boxed{\sf Area \ of \ Circle = 394.13 \ cm^2}

Step-by-step explanation:

\sf Area \ of \ Circle = \pi r^2\\\\Where \ r = 11.2 \ cm \ and \ \pi = 3.142 \\\\Area \ of \ Circle = (3.142)(11.2)^2\\\\Area \ of \ Circle = (3.142)(125.44)\\\\\boxed{\sf Area \ of \ Circle = 394.13 \ cm^2}

Hope this helped!

~AnonymousHelper1807

7 0
3 years ago
Please find the perimeter and the area of the figure below.
Wewaii [24]

Answer:

Total Composite Area: 5/2π in²

Total Composite Perimeter: 3π + 2 in

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Diameter: d = 2r
  • Area of a Circle: A = πr²
  • Circumference Formula: C = 2πr

Step-by-step explanation:

<u>Step 1: Define</u>

Radius of Circle ABC = 2 in

Radius of Circle AD = 1 in

<u>Step 2: Find Area</u>

Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.

We add the 2 composite figures to find the <em>total </em>area.

  1. [Circle AD] Substitute [AC]:                                                                               A = 1/2π(1 in)²
  2. [Circle ABC] Substitute [AC]:                                                                          A = 1/2π(2 in)²
  3. [Total] Combine:                                                                                              A = 1/2π(2 in)² + 1/2π(1 in)²
  4. Exponents:                                                                                                       A = 1/2π(4 in²) + 1/2π(1 in²)
  5. Multiply:                                                                                                           A = 2π in² + 1/2π in²
  6. Add:                                                                                                                  A = 5/2π in²

<u>Step 3: Find Perimeter</u>

Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.

We add the 2 composite figures to find the <em>total </em>perimeter. Don't forget circumference is only the <em>curve</em> of the circle.

  1. [Circle AD] Substitute [CF]:                                                                               C = 1/2(2π · 1 in)
  2. [Circle ABC] Substitute [CF]:                                                                           C = 1/2(2π · 2 in)
  3. [Total] Combine:                                                                                              C = 1/2(2π · 2in) + 1/2(2π · 1 in) + 2 in
  4. Multiply:                                                                                                           C = 1/2(4π in) + 1/2(2π in) + 2 in
  5. Multiply:                                                                                                           C = 2π in + π in + 2 in
  6. Add:                                                                                                                  C = 3π + 2 in
7 0
3 years ago
Read 2 more answers
A cheese pizza at Chicago's Deep Dish pizza costs $7. Each topping costs an additional $0.75. A cheese pizza at Brooklyn's cost
V125BC [204]

Step-by-step explanation:

Let the number of toppings be y

If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;

$7 + $0.75y ..... 1

Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;

$12 + $0.50y ........ 2

If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;

7+0.75y = 12+0.50y

Make y the subject of the formula to generate the required equation for y:

0.75y-0.50y = 12-7

0.25y = 5

divide both sides by 0.25

0.25y/0.25 = 5/0.25

y = 5/0.25

y = 20

Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.

3 0
3 years ago
Please help me with these 4 Geometry questions
goldfiish [28.3K]
I don't know the answers but I have geometry next semester and just looking at this gives me a headache :(  Is it a hard class? 
8 0
3 years ago
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