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3 years ago

Find the area of the circle

Mathematics

1 answer:

motikmotik3 years ago

7 0

The formula is $\pi$ r², and to find r, or radius, you divide the diameter by 2. Your radius is 12.5, so you just plug that into your formula, and you have pi(12.5)², and simplify that to pi(156.25) and then your answer is <span>490.873852123. You probably want to round to the nearest hundredth, I don't know if you have specific directions, but if so your final answer would be 490.87.</span>

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Karen make $5 per hour babysitting and $12 per hour giving music lessons. On the weekend, she worked a total of 18 hours and mad

Lilit [14]

Answer:

11 hours

Step-by-step explanation:

Let's say Karen makes x hours babysitting and y hours giving music lessons.

Because she worked a total of 18 hours, we know that x + y = 18.

5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:

5x + 12y = 139

We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:

12 * (x + y) = 18 * 12

12x + 12y = 216

Now, subtract 5x + 12y = 139 from 12x + 12y = 216:

12x + 12y = 216

- 5x + 12y = 139

_________________

7x + 0y = 77

Divide both sides by 7:

x = 11

Thus, Karen spent 11 hours babysitting.

4 0

3 years ago

Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg.

Aneli [31]

The weight of the third heaviest among the four dogs is 2 kg.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.

Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.

29 + 28 + 2 + 1 = 60 kg

The weight of the third heaviest among the four dogs is 2 kg.

Find out more on equation at: brainly.com/question/2972832

7 0

2 years ago

Use the distributive property to create an equivalent expression to the equation 9(2j + 5j).

wel

Answer: i think the answer is -45j - 9k

Step-by-step explanation:

6 0

3 years ago

Consider the following pair of points.

dedylja [7]

Answer:

The answer is

<h2> $\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

$d = \sqrt{ ({9 + 7})^{2} + ({ - 8 + 5})^{2} } \\ = \sqrt{ {16}^{2} + ( { - 3})^{2} } \\ = \sqrt{256 + 9} \: \: \: \: \: \: \: \: \: \\ = \sqrt{265} \: \: \: \: \: \: \\ = 16.27882$

We have the final answer as

$\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$

Hope this helps you

4 0

3 years ago

-5+4y=-21 simplify your answer as much as possible <br>y=

nordsb [41]

4y=-21+5
4y=-16
y=4
simplified

3 0

3 years ago

Read 2 more answers