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Amanda [17]
4 years ago
10

Find the angle of rotation about the center of the regular pentagon that maps A to E

Mathematics
1 answer:
pav-90 [236]4 years ago
6 0

Answer:

C 288

Step-by-step explanation:

using counter clockwise rotation

360/5 x 4 =288

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Find the product of the roots of the equation<br> xl-5x - 36 = 0
Marat540 [252]

Answer:

Step-by-step explanation:

Hello, I assume that you mean

x^2-5x-36

The product is -36.

x_1 \text{ and } x_2 \text{ are the two roots, we can write}\\\\(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2

So in this example, it means that the sum is 5 and the product is -36.

Thank you

5 0
4 years ago
A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s
Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

P( X\geq 96)=P( X>96+0.50)

                 =P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z

*Use a <em>z</em>-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0
3 years ago
Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)​
andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

5 0
3 years ago
Pls answer this I need this in 5 mins
zzz [600]

Answer:

x=17

Step-by-step explanation:

3x+5+2x=90

5x=85

x=17

8 0
3 years ago
Read 2 more answers
An airplanes altitude changes -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?
Natalija [7]
Average rate= change in alt / change in time

r=-378/7=-54ft/min
4 0
3 years ago
Read 2 more answers
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