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aniked [119]
2 years ago
14

If <a is 89.5, what is the measure of its complementary angle?​

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
7 0

Answer:

The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.

The supplement of an angle is what, when added to it, equals 180 degrees.

For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.

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Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the p
tankabanditka [31]

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

 

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

 

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

 

Therefore

Josh makes $12/hr more than Greg

6 0
3 years ago
Read 2 more answers
A washer and dryer cost $600 combined. The cost of the washer is three times the cost of the dryer
Sveta_85 [38]
First, assign two variables to the prices of the two appliances.
'w' will represent the price of a washer, and 'd' will represent the price of a dryer.

Because "the washer is three times the cost of the dryer," we can form this equation:
w = 3d
On top of that, we know the washer and dryer add up to 600, making another equation.
w + d = 600

Because we know the value of 'w,' we can input that into the equation 'w + d = 600'
(3d) + d = 600
Simplify:
4d = 600
d = 150

Since the washer is three times the price of the dryer:
w = 3(150) = 450

The dryer costs $150, and the washer costs $450.
-T.B.
8 0
3 years ago
On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation. DO, 2 of X =
Svetllana [295]
<h2>Answer:  Step-by-step explanation:  EXPLANATION  From the graph, the coordinates of Y are:  We want to find the image of this point after a dilation by a scale factor of -½ about the origin. The rule for the dilation is :  To find the coordinates of Y', we plug the coordinates of Y.   The first choice is correct.   Fraction: - 3/2, -1  </h2>
3 0
3 years ago
The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of two every five minutes, w
vampirchik [111]

Answer:

13.53% probability that no customers arrive in a five-minute period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

They arrive at a rate of two every five minutes

This means that \mu = 2

What is the probability that no customers arrive in a five-minute period?

This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that no customers arrive in a five-minute period

5 0
3 years ago
What is 15/16 simplafyed?
borishaifa [10]
It can not be simplified because the numerator and denominator can not be divided between the same number, so that each results an integer number.
5 0
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