MATHEMATICS MIDDLE SCHOOL

What is cos P?  Right triangle PQR with a short leg measuring 5, a long leg measuring 12, and the hypotenuse as 13A. 5/12

B. 12/13

C. 5/13

D. 12/5

Answers

Answer 1
Answer: It depends how you name the sides of triangle.
Look at picture at the result.

cos\alpha=(12)/(13)\n cos\beta=(5)/(13)

PS. Sorry for my terrible drawing but I did it as fast as possible :)

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How do I do these questions?

Answers

I just did the first one but I don't know is it correct

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Answers

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

(8yellow)/(20total) = (Xyellow)/(100total)

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

(8yellow)/(20total) = (Xyellow)/(100total) \n 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \n 8*100=20*x \n 800=20x \n 800/20=20x/20 \n x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

What is the measurement of N?
A) 138°
B) 139°
C) 140°
D) 141°

Answers

We have an 180 degree line, so lets solve. 

180 - 39 = 141
 n = 141 degrees

Answer:  N = 141° 
This angle is called, a straight angle. This angle measures 180°. To find the answer to this we will do the following:-

180° - 39° = N
180° - 39° = 141
Angle N = 141.

CHECK OUR WORK:-

141 + 39 = 180
We were RIGHT!!!

So, the measurement of N is D)141°.

Hope I helped ya!! XD

-.6y - 3.79 + 5.2y < 19.67
Solve for y

Answers

i think its this---  y<5.1
A=πr2=π·5.52≈95.03318

Identify the value of x that makes each pair of ratios equivalent. 9 over 36 x over 4 A. 1 B. 4 C. 9

Answers

A, 9/36=1/4. Remember to reduce the fraction
Reduce the fraction in this problem of the value that makes each pair.

Investment of 1000 at 16% simple interest for 20years

Answers

the answer is 3200.

I=Prt
p ( 16%) x r ( 1000) x t ( 20) = 3200.

hopefully my answer helped you :)
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