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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?

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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Lynna [10]

The answer is 6/13 since there are 12 distinct letters in the phrase and 12/26 is written as 6/13

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3 years ago

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0

2 years ago

Brittany was tracking the increasing temperature in the morning. At 8 a.m., it was 68 degrees Fahrenheit. At 10 a.m., it was 74

AysviL [449]

Im gonna go with A..

4 0

3 years ago

Could someone check my answer please . Thank you

Elodia [21]

Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.

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3 years ago

What is the perimeter of this rectangle?

BartSMP [9]

36
Add all the sides up
15+15=30
3+3=6
30+6=36

7 0

4 years ago

Read 2 more answers