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natita [175]
3 years ago
8

Can someone help me ?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0

Answer:

AC is four times longer than DF

Step-by-step explanation:

AC is the diameter of the circle E and DE is the radius of the circle E

AC = 2 x DE

DE is the diameter of the circle F and DF is the radius of the circle F

DE = 2 x  DF

AC = 2 x DE

AC = 2 x (2 x DF)

AC = 4 x DF

So AC is four times longer than DF

stira [4]3 years ago
3 0

From how it appears, it seems as the answer will be AC is four times longer than DF. If you lined up four DF lines next to AC, it would be congruent

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An arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students. How many students does
zhenek [66]

Answer:

15students per 1 teacher

9 student per 1 tutor.

8 tutors for 72 students

Step-by-step explanation:

From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students

✓ 4 teachers for every 60 students

4teacher =60students

Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.

✓3 tutors for every 27 students,

3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.

How many students does the academy have

per​ teacher?

15students per 1 teacher

Per​ tutor?

9 student per 1 tutor.

How many tutors does the academy need if it has 72 students​?

Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,

9 student = 1 tutor.

72 students​= X tutor

If we cross multiply we have

72=9X

X=8 tutors

Therefore, we need 8 tutors for 72 students​

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3 years ago
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What is the fraction of 2 1/4
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Step-by-step explanation:

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3 years ago
Choose the graph which matches the function. (2 points) <br> f(x) = 3x-1
ValentinkaMS [17]

Answer:

Observe the attached image

Step-by-step explanation:

We know that f(x) = 3^{x-1} is an exponential function, therefore its graph must have the form that corresponds to this type of functions.

The first thing to do is find the cut points of the function.

Cut point with the y axis:

x = 0\\\\y = 3^{0-1}\\\\y = 3^{-1}\\\\y = \frac{1}{3}

The function cuts the y-axis on y = \frac{1}{3}

Cutting point with the x axis:

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