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tatyana61 [14]
3 years ago
10

the measures of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0
Two complementary angles: α,β

Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18

Measure of smallest angle is 18 degrees.
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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
Help i need help fast​
tekilochka [14]
Answer : Vertical .
5 0
3 years ago
Read 2 more answers
6 divided by 2 and 1 fourths.<br> FULL ANSWER
enot [183]
6 divided by 2 and 1 forths is going to be 8 out of  3


4 0
3 years ago
In a class of p students, the average (arithmetic mean) of the test scores is 70. in another class of n students, the average of
lys-0071 [83]

First case:

average of test score =70

number of students =p

total score of 'p' students = ( average of test score)*( number of students)

total score of 'p' students =70p

Second case:

average of test score =92

number of students =n

total score of 'n' students = ( average of test score)*( number of students)

total score of 'n' students =92n

total number of students = p+n

total average score =86

so, total score =86(p+n)

total score = total score of 'p' students +total score of 'n' students

86(p+n)=70p+92n

now, we can simplify it

86p+86n=70p+92n

86p-70p=92n-86n

16p=6n

now, we can find p/n

\frac{p}{n}= \frac{6}{16}

\frac{p}{n}= \frac{3}{8}................Answer


5 0
3 years ago
Simply the expression
sp2606 [1]

Answer:

5w^22

Step-by-step explanation:

7 0
2 years ago
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