MATHEMATICS HIGH SCHOOL

Find the size of angle x and explain how you found your answer.Give your answer in degrees ().
63°
X
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134°
Not drawn accurately
Find the size of angle x and explain how you - 1

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Write an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

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9514 1404 393

Answer:

  12^18

Step-by-step explanation:

Each exponent tells you the number of times 12 is repeated as a factor. The total number of repetitions of 12 as a factor in this product is ...

  3 +9 +4 +2 = 18

The equivalent expression is 12¹⁸.

If the largest angle of a triangle is 120 degrees and it is included between sides of 1.5 and 0.5, what is the largest side of the triangle to the nearest tenth?

Answers

c²=a²+b²-2·a·b·cos(C)

c²=(1.5)² + (0.5) -2 ·(l·5) ·(0.5) ·cos(120°)

c²= 3.25

c= √3.25

c=1.802775638

To nearest tenth, c=1.8

Answer:

1.8

Step-by-step explanation:

Five ninths times the difference of f and 32

Answers

If we put that into an equation, we get
(5/9)(f/32)
because "five ninths" is a fraction, "times" is multiplication (which can be represented by parenthesis), "the difference" is division, and "the difference of f and 32" is a fraction.

On the block where Liza lives, the house numbers of all the two-story homes are prime numbers. Liza's block contains house numbers between 40 and 60. List all of the house numbers of all the houses that you know have two stories.

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Answer:

41, 43, 47, 53, 59

Step-by-step explanation:

Prime numbers are numbers that can be divided only by 1 and itself.i.e. it has only two factors. 1 is not a prime number as it has only one factor. The Prime numbers between 40 and 60 are 41, 43, 47, 53, 59.

The two-story home numbers are 41, 43, 47, 53, 59.

Rhubarb is used in making pies, tarts, and sauces. If a cook makes 2 pints of rhubarb sauce, will there be at least 5 cups of sauce made?

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A pint contains 2 cups. 2 pints would produce 4 cups, not 5. I do love rhubarb!

Simplify 18 - 2[x + (x - 5)].
8 - 4x
28 - 4x
28 - 2x

Answers

18 - 2[x + x - 5]

18 - 2[2x - 5]

18 - 4x + 10

28 - 4x

Your answer is 28 - 4x.
18 - 2[x + (x - 5)] \n \n 18 - 2(x + x - 5) \n \n 18 - 2(2x - 5) \n \n 18 - 4x + 10 \n \n -4x + 28 \n \n Answer: \fbox {-4x + 28}
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