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Delicious77 [7]
3 years ago
5

An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the

academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0
For every 24 students there is one teacher. For every 12 students is one tutor. If the Academy had 132 students then you will need 11 tutors.
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A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which e
maw [93]

Answer:

Ф = ------------ = 7/5 radians

Step-by-step explanation:

"e" is inappropriate format here.  Use Ф or α or similiar character for central angle.

Here, (arc length) = (radius)(central angle),  or  s = rФ, and so:

(central angle) = Ф = (arc length) / (radius)

                     7 ft

Here, Ф = ------------ = 7/5 radians

                    5 ft

3 0
3 years ago
What is the greatest common factor of 12x 16x 8x
slega [8]

Answer:

4x

Step-by-step explanation:

The Factors of 12

1,12, 2,6 3,4

16

1,16 2,8 4,4

8

1,8 ,2,4

The highest factor they share is 4 so it would be the GCF. Then you would have to add the x back into the GCF

Hope It helped

8 0
3 years ago
I need help, the options are: Corresponding Angles, Vertical Angles, Alternate interior angles, linear pair, alternate exterior
stiks02 [169]

Answer:

✔️ <1 and <3 => Vertical angles

✔️<2 and <6 => alternate exterior angles

✔️<2 and <4 => corresponding angles

✔️<3 and <7 => alternate interior angles.

✔️<4 and <3 => consecutive interior angles.

✔️<7 and <6 => linear pair angles.

Step-by-step explanation:

✔️ <1 and <3 are opposite angles formed when two straight lines intersect. They both share the same vertex. Thus, they are vertical angles, which are congruent to each other.

<1 and <3 are vertical angles.

✔️<2 and <6 are alternate exterior angles.

<2 and <6 both lie outside the straight lines cut across by the transversal, and they also lie in the side of the transversal alternating each other

✔️<2 and <4 are corresponding angles.

They both take the same position on the same side of the transversal.

✔️<3 and <7 are alternate interior angles.

They are alternating angles along the transversal that are located just within the two lines intersected by the transversal.

✔️<4 and <3 are consecutive interior angles.

They are angles on the same side of the transversal but lie within the two straight lines intercepted by the transversal.

✔️<7 and <6 are linear pair angles.

They are angles on a straight line, and sum up to 180°.

3 0
3 years ago
What is the ratio 15 to 35 written as a fraction in lowest terms?
dmitriy555 [2]
B 3/7 because 15 divided by 5 = 3 and 35 divided by 5 = 7
4 0
3 years ago
Read 2 more answers
Find the value of x.
Gnoma [55]

Answer:

x = 10

Step-by-step explanation:

Since the triangle is right use the sine ratio to find x

sin30° = \frac{opposite}{hypotenuse} = \frac{5}{x}

cross- multiply

x × sin30° = 5 ( sin30° = 0.5 )

0.5x = 5 ( divide both sides by 0.5 )

x = 10

5 0
3 years ago
Read 2 more answers
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