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iris [78.8K]
3 years ago
10

Please help me out with this math problem

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0
Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

==========================================

Explanation:

Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y

The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi

Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi

Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region

Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
74.812% ---> 74.8%

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jekas [21]

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

k = \frac{y}{x}

When y = 24; x = 8

So, we have:

k = \frac{24}{8}

k = 3

7 0
2 years ago
A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
Karo-lina-s [1.5K]

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

5 0
3 years ago
HELP PLEASE !! .................................................................................................................
myrzilka [38]

Answer:

15

Step-by-step explanation:

Substitute a and b then

Follow PEMDAS

Hope this helps! :)

5 0
2 years ago
Read 2 more answers
Giving brainliest to correct answer
Temka [501]

1.25

hope it helped and sorry if it's wrong i wish you luck

7 0
2 years ago
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Express 6^1/3 in simplest radical form.
seropon [69]

<em>Greetings from Brasil</em>

From radiciation properties:

\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}

bringing to our problem

\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}

<h2>∛6</h2>
6 0
3 years ago
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