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marissa [1.9K]
3 years ago
12

A sphere has a radius of 12 centimeters.

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
The volume is 7238.23cm^{3}
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The farmer looks out in the barnyard and Cesar pigs and the chickens. He says to his daughter, “ I count 40 heads in 100 feet. H
notsponge [240]

Answer:

There are  10 pigs and 30 chickens

Step-by-step explanation:

Let the number of pigs be x

let the number of chickens be y

Then there are 40 heads . So the total number of pigs and chickens is 40

x + y = 40-----------------------(1)

We know that pigs have 4 legs and chickens have 2 legs

4x + 2y = 100----------------------(2)

Solving (1) and (2)

multiply  (1) by 2

2x + 2y = 80-------------------------(3)

subtract (3) from (2)

4x + 2y = 100

2x + 2y = 80

----------------------------

2x = 20

----------------------------

x = \frac{20}{2}

x = 10

Now Substituting x in (1), we get

10 + y = 40

y = 40 - 10

y = 30

7 0
3 years ago
everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a
Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

so

The perimeter of the rectangular playground is equal to

P=2(L+W)

we have

L=320\ m\\W=163\ m

substitute

P=2(320+163)

P=966\ m

3 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLEST AWARD FOR MOST DESCRIPTIVE
Rashid [163]
The law of cosines states that:

c^2=a^2+b^2-2abcosC

You already have all the values for the variables with the exception of x so:

x^2=25+100-100cos60

x=√(125-100cos60)

x=√75

x≈8.66 to nearest one-hundredth...
3 0
3 years ago
Jan spent the day at the mall. She came home with $9.50. She spent $5.25 on earrings and 3 times that amount on a shirt. How muc
ki77a [65]

Answer:

She took $30.50 to the mall originally

Step-by-step explanation:

Let us solve the problem step by step

∵ She spent $5.25 on earrings

∵ The price of the shirt is 3 times the price of the earrings

∴ The price of the shirt = 3 × 5.25 = 15.75

∴ She spent $15.75 on the shirt

Find her total spending in the mall by adding the prices of earrings and the shirt

∴ She spent = 5.25 + 15.75 = 21

∴ She spent $21 on the mall

∵ She came home with $9.50

∵ She spent $21 on the mall

- Add them to find her original amount of money

∴ She took = 21 + 9.50 = 30.50

∴ She took $30.50 to the mall originally

5 0
3 years ago
Find the area of the kite please help and just don’t write down random answers
Zanzabum

Answer:

187.06 units²

Step-by-step explanation:

Area of kite:

½ × d1 × d2

½d1 = 18sin(30)

½d1 = 9

d1 = 18

d2 = 9/tan(60) + 18cos(30)

= 12sqrt(3)

Area = ½ × 18 × 12sqrt(3)

108sqrt(3) units²

187.0614872 units²

6 0
3 years ago
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