MATHEMATICS HIGH SCHOOL

What is the range of y = sin θ ?

Answers

Answer 1
Answer: Hello,

-1<=y<=1
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Answer 2
Answer:

Answer:

[-1,1]

Step-by-step explanation:

Do you trust me????????

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Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure ofside LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Use the difference of cubes for 27x^(3)-1

Answers

Note:

(a-b)^3=a^3-3a^2b+3ab^2-b^3\n\mathrm{or,\ }(a-b)^3=a^3-b^3-3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)^3+3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)[(a-b)^2+3ab]\n\mathrm{or,\ }a^3-b^3=(a-b)(a^2-2ab+b^2+3ab)\n\therefore\ a^3-b^3=(a-b)(a^2+ab+b^2)

Answer:

27x^3-1\n=(3x)^2-1\n=(3x-1)[(3x)^2+(3x)(1)+1^2]\n=(3x-1)(9x^2+3x+1)

Answer:

To factor the expression 27x^3 - 1 using the difference of cubes formula, we can follow these steps:

1. Identify the cube root of each term. In this case, the cube root of 27x^3 is 3x, and the cube root of 1 is 1.

2. Write the formula for the difference of cubes, which is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

3. Replace "a" with 3x and "b" with 1 in the formula.

(3x)^3 - 1^3 = (3x - 1)((3x)^2 + (3x)(1) + 1^2)

4. Simplify the expression inside the parentheses.

(3x - 1)(9x^2 + 3x + 1)

Therefore, using the difference of cubes formula, we can factor 27x^3 - 1 as (3x - 1)(9x^2 + 3x + 1).

Step-by-step explanation:

A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape? Round the nearest whole number.

Answers

Answer:

A=28

Step-by-step explanation:

the area of a circle is pi*r^2

so if you fold it into fourths then its the same equation just multiplied by 1/4 because you are finding the area of 1/4 of the circle.

A=1/4*\pi*6^2

A=28.274334

A person came to work at 8:30 AM, went out at 11:45 AM, had lunch, came in at 12:30 PM, and left work at 5:15 PM. The total number of hours worked by this person was

Answers

Answer:

8 hours and 30 minutes ight.

Step-by-step explanation:

Some math and adding and stuff I did it in my head.

Answer:

Step-by-step explanation:

8 hours 30 minutes

Find the least common denominator (LCD) of
7/12 and 3/2

Answers

Answer:

12

Step-by-step explanation:

Rewriting input as fractions if necessary:

7/12, 3/2

For the denominators (12, 2) the least common multiple (LCM) is 12.

LCM(12, 2)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/12 = 7/12 × 1/1 = 7/12

3/2 = 3/2 × 6/6 = 18/12

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

Answers

Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date. 

32% is the annual interest rate
1 month is the term
200 is the principal

32% / 12 months = 2.67% per month

200 * 2.67% = 5.34 monthly interest

200 * 32% = 64  annual interest
64/12 = 5.33  monthly interest

She has to pay $5.34 in interes

Answer: A. $5.33

Step-by-step explanation:

I took the test on edge
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