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JulsSmile [24]
3 years ago
15

Find the area of the shaded region in the polygon below.

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

35

Step-by-step explanation:

I multiply 3 and 7 that give 35

Goryan [66]3 years ago
8 0

Answer:

Step-by-step explanation:

The area of a pentagon given the radius is

Area = (5/2)r^2 * sin(72º)

r = 7

Area = (5/2)*7^2 * sin(72)

Area = 122.5 * 0.95106

Area = 116.5

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

r = 5

Area = (5/2) * 5^2 * sin(72)

Area = 59.4

Area of the shaded area = 116.5 - 59.4

Area of the shaded area = 57.1

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What is the volume of a shipping cube with dimensions of 2 and 1/2 feet
Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

Where:

l: It's the side of the cube

According to the statement data:

l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}

Substituting in the formula we have:

V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625

Thus, the shipping cube volume is15.625 \ ft ^ 3

Answer:

15.625 \ ft ^ 3

6 0
3 years ago
you deposit 1000 in savings account that earns .5% each month assuming you do not deposit or withdraw any money from the account
ikadub [295]

Answer:

$1015.11

Step-by-step explanation:

Compounded interest rate formula: A = P(1 + r/n)^t

Step 1: Plug in known variables

A = 1000(1 + 0.005/12)^36

Step 2: Multiply it all together

1000(1.00042)^36

1000(1.01511)

1015.11

This is a pretty bad bank considering only giving you .5% interest per month.

7 0
3 years ago
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
Find the number the comes next 1.2.6,21.88,?​
Nataly_w [17]

Answer

455

Step-by-step explanation:

(1×1) + 1 = 2

(2×2) + 2 = 6

(6×3) + 3 = 21

(21×4)+4 = 88

(88×5)+5 = 445

5 0
2 years ago
Read 2 more answers
Nicolas surveyed a random sample of 80 employees at a software company. He found that 29% of the employees surveyed ride a bike
Nana76 [90]

Answer:

Option C

Step-by-step explanation:

Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 ..... 0.56}

The events with the highest probability of occurrence are those with the highest number of points in the diagram.

Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.

This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.

Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)

Based on this analysis, it can be concluded that the correct option is c)

c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

6 0
3 years ago
Read 2 more answers
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