MATHEMATICS HIGH SCHOOL

enrollment in a photography class increased from 25 to 35 students. What was the percent of increase in enrollment?

Answers

Answer 1
Answer:

Answer

40%

Explanation

A parentage value is a value that has been compared to 100.

Percentage = (change in the value)/(the original value) × 100%

                   = (35-25)/25 × 100%

                    = 10/25 × 100%

                   = 40%
Answer 2
Answer: (35-25)/25x100%
=40%
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Solve the system of equations 3y+2z=12 and y-z=9

Answers

mulitply second equation by 2 and add to first

3y+2z=12
2y-2z=18 +
5y+0z=30

5y=30
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In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Step-by-step explanation:

tangent = opposite / hypothenus

tan C = ED / DC

tan C = 28 / 53

Answer:

I just go it wrong, it's 28/45

Step-by-step explanation:

A line has____rotational symmetry,

Answers

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Can a genius help me with this question? Am stuck on this question and show your working please.1. Calculate the circumference of a circle with a radius of 3cm.

2. A circle with a radius of 10cm has a circumference of...?

3. Calculate a circumference of a circle with a diameter of 13cm.

4. A circle has a diameter of 9.5cm.What is the distance around the circle?


How do you calculate the circumference of a circle?

When would you use 2nr?

When would you use nd?

Come up with your own examples(at least two) to show how to calculate the circumference of a circle.

Answers

1. The circumference of a circle is 2πr, and when we plug in 3 for r, we get 6π.

2. We'll use the same formula and plug in 10 for r, giving us 20π.

3. The formula we use in this case is πd, and when we plug in 13 for d, we get 13π.

4. Same formula from 3, we plug in 9.5 for d and get 9.5π.

5. You can calculate the circumference of a circle using 2 formulas, C=2πr (where r=radius and C=circumference) and C=πd (where d=diameter and C is circumference).

6. You use 2πr when the radius is given.

7. You use πd when the diameter is given.

8. 2 examples could be to use the 2 formulas.

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided by nine, ...

Answers

The sequence is decreasing so it is r<1, therefore it is converging

This is the formula for how to find the sum/limit of the convergence (or how to find a infinite geometric sequence): a1/(1-r)

a1=48

r=8/48=.167

Verifying r:

a1/r=48*.167=8.016=8

a1/r^2=48*.167^2=1.338672=1.34

4/3=1.33

(close enough)

Putting it into equation:

a1/(1-r)=48/(1-.167)=48/.833=57.62304922

Answer Choices:

A. Converges; 288/5

B. Converges; 0

C. Diverges

D. Converges; -12432

288/5=57.6

ANSWER IS A. Converges; 288/5
48, 8 , 4/3,2/9

note that each term after the first one is calculated by multiplying the previous on by 1/6. The sequence converges

Limit  = a1 / (1 -r)  = 48 / ( 1- 1/6)    =  57.6  or 57 3/5
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