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kicyunya [14]
2 years ago
9

Find the area of the shaded figure below. Use 3.14 for pi. NO LINKS OR IMPROPER ANSWERS

Mathematics
1 answer:
Lapatulllka [165]2 years ago
6 0

Answer:

The area of the shaded region is about 58.9 square inches.

Step-by-step explanation:

To solve this question, let's recall some facts.

We know that the area of a circle can be defined as the following:

A = \pi r^2

where r is the radius of the circle.

We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.

We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.

Now, we can solve the problem.

Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:

3*\pi (2.5)^2

= 3*3.14(2.5)^2

= 3 *3.14 *6.25

= 58.875

After approximation, I can conclude that the area of the shaded region is 58.9 square inches.

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3 years ago
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2
erma4kov [3.2K]
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
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6 0
2 years ago
Plsssss helppppp i need to do this work in 10 min plss helpp
Over [174]

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click <u>THANKS</u>

7 0
2 years ago
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victus00 [196]
Each person would receive 1 and an half cookies.
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5 0
3 years ago
Grace wants to find the probability of a family of 3 children having 2 boys and 1 girl. Use a tree diagram to list the possibili
pychu [463]

Answer:

Step-by-step explanation:

My approach was to draw out the probabilities, since we have 3 children, and we are looking for 2 boys and 1 girl, the probabilities can be Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy. So a 2/3 chance if you think about it, your answer 2/3 can't be correct. If we assume that boys and girls are born with equal probability, then the probability to have two girls (and one boy) should be the same as the probability to have two boys and one girl. So you would have two cases with probability 2/3, giving an impossible 4/3 probability for both cases. Also, your list "Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy" seems strange. All of those are 2 boys and 1 girl, so based on that list, you should get a 100 percent chance. But what about Boy-Girl-Girl, or Girl-Girl-Girl? You get 2/3 if you assume that adjacencies in the (ordered) list are important, i.e., "2 boys and a girl" means that the girl was not born between the boys.

5 0
1 year ago
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