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julia-pushkina [17]
4 years ago
7

Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?

Mathematics
1 answer:
Elina [12.6K]4 years ago
8 0

Answer:

160°

Step-by-step explanation:

if you 'try' multiples of 360 you can easilly see that the other answers are simply wrong.

-920° + (3 * 360°) = 160°

Extra:

-920° + (2 * 360°) = -200°

So -200° would have been a correct result aloso

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Simplify by combining like terms.
meriva
85/12b +1 is the answer
5 0
3 years ago
Find the slope of the line through each pair of points (-18, 13) and (-14, -20) *
BARSIC [14]

Answer:

The answer is

-  \frac{33}{4}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

where

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

From the question the points are

(-18, 13) and (-14, -20)

The slope is

m =  \frac{ - 20 - 13 }{ - 14 -  - 18}  =  \frac{ - 33}{ - 14 + 18}  =  -  \frac{33}{4}  \\

We have the final answer as

-  \frac{33}{4}  \\

Hope this helps you

5 0
3 years ago
Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie pract
charle [14.2K]

Answer:

Jacqueline = 150 minutes

Cassie = 125 minutes

The answer would be 2. (The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.)

Step-by-step explanation: Cassies longest session was 50 minutes. her shortest session was for 15 minutes and they are 45 minutes apart. Jacquelines longest session was 45 minutes and her sgortest was 30 minutes they are onlu 15 minutes away from eachother so the second answer is correct.

8 0
3 years ago
Read 2 more answers
A line contains the points  (−26, −37)  and  (−32, −61) . What is the slope of the line in simplified form?
Rina8888 [55]
Using y2-y1/x2-x1      m=24/6   so the slope is +4
4 0
4 years ago
Read 2 more answers
Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters α=80 and λ=4. Use the Centra
timurjin [86]

Answer:

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

Step-by-step explanation:

This is the general idea to solve the problem.

Suppose that the mean and variance of the your distribution are .\mu , \sigma respectively. Then, according to the problem you are looking for the probability.

P(X \geq 15) = 1 - P(X

Consider then the following random variable.

T  =   X_1 + X_2 + .... + X_{14}

Using the central limit theorem  T distribution will be close to normal, and its mean and variance will be  14\mu , 14\sigma  , respectively. Therefore you just have to find the probability that a normally distributed  random variable with that mean and that variance which I just mentioned is less than 14.

For this case we have that

\mu = \alpha / \gamma  = 20 \\\sigma = \alpha(\alpha+1) / \gamma^2  -  (\alpha/ \gamma)^2  = 5

Then you have that

14\mu = 280\\14\sigma = 70\\

and we have that if  N is a normally distributed random variables with mean 280 and variance 70 we have that

P(N \leq 14 ) = 0.0001

the actual probability we are looking for is

1-P(N\leq14) =  1-(0.0001) = 0.9999

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

5 0
3 years ago
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