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Ann [662]
3 years ago
9

A school.Ordered 16 buses for a school trip. Each bus has 26 seats. There are 32 teachers and 368 students. Each bus needs to ha

ve 2 teachers and the rest are students.
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

There should be 2 teachers and 21 students on each bus.

Step-by-step explanation:

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What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is
Nesterboy [21]

The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.

<h3>What is the ratio of sides for the 30°-60°-90° triangle?</h3>

The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x

where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.

<h3 /><h3>Calculation:</h3>

It is given that the triangle is a right triangle with angles 30°-60°-90°

For such a triangle, the ratio of side lengths is x: x\sqrt{3}:2x

we have the length of the hypotenuse is 2\sqrt{6}

So, 2x = 2\sqrt{6}

⇒ x = \sqrt{6}

So,

the other length of the other leg is x√3 = √6 × √3 = 3 √2

Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.

Learn more about the ratio of sides of a 30°-60°-90° triangle here:

brainly.com/question/6695000

#SPJ4

6 0
2 years ago
how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three
MrRissso [65]

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

7 0
3 years ago
GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 3 x − 1, determine the slope of the line.
horrorfan [7]

The general equation for a linear equation is y=mx+c

  • y is the y-coordinate
  • x is the x-coordinate
  • m is the gradient of the slope
  • c is where is passes through the y axis

So if you breakdown this equation (y=\frac{2}{3} x-1) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.

Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'

4 0
3 years ago
If x^2 -7x=30 and x&gt;0, what is the value of x-5
laila [671]

Answer:

5

Step-by-step explanation:

x^2-7x=30

x^2-7x-30=0

a = 1, b = -7, c = -30

sqrt(b^2-4ac)

sqrt(49+120)

sqrt(169)

13

-b +/- 13

7 + 13 = 20

7 - 13 = -6

2a = 2

20/2 = 10

-6/2 = -3

we know x>0, so it cant be -3. so now its just 10 - 5

3 0
3 years ago
6 times the sum of a number and 7 is 18
lutik1710 [3]
The simplest way to find this number is to add your two known values (7 and 6) which should be 13. Now you should subtract it from 18. (18-13). That should equal to 5, which is your answer.
5 0
3 years ago
Read 2 more answers
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