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3 years ago

Whats the answer to this?

Mathematics

1 answer:

Paul [167]3 years ago

4 0

51/85

Step by step explanation:

The sine of an angle: the length of the opposite side/the length of the hypotenuse

In this case it’s Sin A so it would be

The side opposite to A is 51

Length of hypotenuse is 81

Therefore 51/81

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at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4

Gennadij [26K]

Answer: 120 students

Explanation:

Let x be the number of scopes
Let a be the number of student at school

1x = 5 students
But 5x = a

1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.

=> (x + 6) = 4 students
=> 4(x + 6) = a

Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24

So, there are 24 scopes.

Plug x in both equation and compare:

5x = a
5(24) = a
120 = a

4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a

Therefore, the students at the school are 120

6 0

3 years ago

A company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8in.2 Approximately what is the

MakcuM [25]

Answer:

Approximately the volume of cone-shaped container is 393 in³.

Step-by-step explanation:

Given:

A company makes a cone-shaped container with a height of 15 in.

The area of its base is about 78.8 in².

Now, to get the cone-shaped container volume.

So, we find the radius first by using formula:

Let the radius be $r.$

(Using the value π = 3.14)

$A_{B}=78.8\ in^2.$

$A_{B}=\pi r^2$

$78.8=3.14\times r^2$

Dividing both sides by 3.14 we get:

$25.09=r^2$

Using square root on both sides we get:

$5.00=r$

$r=5\ in.$

Thus, the radius ( $r$ ) = 5 in.

The height ( $h$ ) = 15 in.

Now, to get the volume of the cone-shaped container we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 5^2\times \frac{15}{3} \\\\Volume=3.14\times 25\times 5\\\\Volume=392.50\ in^3.$

Therefore, approximately the volume of the cone-shaped container is 393 in³.

7 0

3 years ago

Can someone please help me? :(

den301095 [7]

Answer:

a=(0,0)

Step-by-step explanation:

i actually dont know but thnks for the points BTW

4 0

3 years ago

Solve for h in this right triangle. Show all steps and round your answer to the nearest hundredth.

Elenna [48]

Answer:

708.56 ft

Step-by-step explanation:

Use the tangent trig rule, TOA in SOH-CAH-TOA. Take your opposite, h, and divide it over your adjacent, 875. Then take the tangent of 39° using a calculator, and multiply 875 on both sides to get h by itself, that being the result of 708.56 ft rounded.

4 0

3 years ago

Let x be the number of $75 trees and y the number of $85 trees. Which system of inequalities represents this situation?

Vikki [24]

Answer:

x+y= the #of trees

75+85=the amount of money

Step-by-step explanation:

3 0

3 years ago