MATHEMATICS MIDDLE SCHOOL

On a compass, due east is a 1/4 turn clockwise from due north. How many degrees are in a 1/4 turn?

Answers

Answer 1
Answer:

Answer:

90^o

Step-by-step explanation:

We have been given that on a compass, due east is a 1/4 turn clockwise from due north.

Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.

To find the number of degrees in a one-fourth turn, we will divide 360 by 4.

\text{Number of degrees in a 1/4 turn of compass}=(360^o)/(4)

\text{Number of degrees in a 1/4 turn of compass}=90^o

Therefore, there are 90 degrees in a 1/4 turn of compass.
Answer 2
Answer: One full turn is 360 degrees. 1/4 of 360 degrees is 270
360-270=90 degrees. One fourth of a full turn is 90 degrees

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What is the slope of this line?

Answers

The slope of this line is -1 because it goes down one and to the right one
Slope = (y2-y1)/(x2-x1)
Well use the two points: (-2,0) , (0,-2)
Slope = (-2 - 0) / (0 - -2)
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If there are 36 performer's in a dance recital and the ratio of men and women are 2:7.How many of the men where performer's??????????????????????

Answers

Ok, so there are 2 men per 7 women so we can just scale up so there are 4 men per 14 women and then 6 men per 21 women but there are 36 performers so we have to keep going till it equals 36 people so 8 men per 28 women = 36 people so 8 men!

How to plan this equation 34= -(m+3)

Answers

34=-(m+3)\n34=-m-3\n31=-m\nm=-31

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What is the value of x?
x/4 - 5 = 6

Answers

(x)/(4)-5=6\ \ \ \ \ \ \ \ \ |\cdot4\n\nx-20=24\ \ \ \ \ \ \ |add\ 20\n\nx=24+20\n\n\boxed{x=44}

A item cost $470 before tax, and the sales tax is 14.10. Find the sales tax rate. Write your answer as a percentage

Answers

Answer: 3%

Step-by-step explanation: when we multiply the number 470 by .03 and get 14.1 which is the same as 14.10 and this is the answer.

Given that (4p-5q)/(6p+q) = 1/4 , find the value of 2p : 7q in its lowest term.

Answers

Start from

\cfrac{4p-5q}{6p+q} = \cfrac{1}{4}

and cross multiply the denominators (i.e. multiply both sides by 4(6p+q)

The result is

4(4p-5q) = 6p+q

Expand the left hand side:

16p-20q = 6p+q

Bring all terms involving p to the left, and all terms involving q to the right:

16p-6p = 20q+q \implies 10p=21q

Divide both sides by 21q:

\cfrac{10p}{21q} = 1

Now we have a ratio between multiples of p and q. It's not exactly the one we want, though. Nevertheless, we can keep multiplying both sides by approriate constants in order to get the ratio we want:

Divide both sides by 5:

\cfrac{2p}{21q} = \cfrac{1}{5}

Multiply both sides by 3:

\cfrac{2p}{7q} = \cfrac{3}{5}
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