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Brrunno [24]
3 years ago
12

The measure of the supplementary of an angle is 40 more than 2 times the measure of the complement of an angle. Find he measure

of the angle.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
Two angles are complementary when they add up to 90 degrees<span> 
</span>Two angles are supplementary when they add up to 180 degrees 

angle = x 
supplementary angle = (180-x)  
complementary angle  = (90-x)

180 - x - 40 = 2(90-x)
140 - x = 180 - 2x
-x + 2x = 180 - 140
x = 40°
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A stock can go​ up, go​ down, or stay unchanged. How many possibilities are there if you own 3 ​stocks?
Gala2k [10]

Answer:

There are 27 different possible outcomes.

Step-by-step explanation:

Assuming that you have 3 different stocks:

First, we need to find the number of events and the number of possible outcomes for each event.

Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:

Stock 1: 3 options (up, down, stay)

Stock 2: 3 options (up, down, stay)

Stock 3: 3 options (up, down, stay)

The total number of possible outcomes is equal to the product of the numbers of options for all the events.

Then the total number of possibilities is:

C = 3*3*3 = 27

4 0
2 years ago
Calculate<br>a) 20% of £150<br>b) 15% of 80 kg<br>c) 85% of 2500 m​
kotykmax [81]

Answer:

A) 30

B) 12 kg

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Step-by-step explanation:

8 0
3 years ago
A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

Z = \frac{X - \mu}{\sigma}

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

5 0
3 years ago
Read 2 more answers
Given the graph below, which of the following represents the domain of the function?
krek1111 [17]
Do you have the graph?
7 0
2 years ago
Can someone please help me ?
Alex

Answer:

  B.  π(3/2)²h

  (27/4)π cubic inches

Step-by-step explanation:

A. The formula for the volume of a cylinder is ...

  V = πr²h

The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...

  V = π(3/2)²h . . . . . . matches choice B

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B. When h=3, the volume evaluates to ...

  V = π(9/4)(3) = (27/4)π . . . . cubic inches

8 0
3 years ago
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