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2 years ago

Find the Greatest common factor of 120? Show your work!

Mathematics

1 answer:

m_a_m_a [10]2 years ago

5 0

Answer:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60

Step-by-step explanation:

1x120, 2x60, 3x40, 4x30, 5x24, 6x20, 8x15, 10x12, 12x10,15x8, 20x6, 24x5, 30x4, 40x3, 60x2

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function $\sin^2 x +\sinx-2$

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

$\sin^2 x +2\sinx-\sin x-2$

Now, we group the first two terms and the last two terms

$(\sin^2 x +2\sinx)+(-\sin x-2)$

Now, we take GCF from each group

$\sin x(\sin x +2)-1(\sin x+2)$

Factor out (sinx+2)

$(\sin x +2)(\sin x-1)$

Therefore, the factored form is (sin x +2)(sin x-1)

7 0

3 years ago

Read 2 more answers

Simplify (3n – 2m)2 = ?

Bumek [7]

If you mean (3n-2m)^2 then the answer is
9n^2-12mn+4m^2
So B

4 0

3 years ago

A total of 285 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t

Assoli18 [71]

Lets say the number of adult tickets is x. This means the number of student tickets is 2x. So, 2x + x = 285, or 3x =285. The means x = 95. So the number of adult tickets sold is 95.

8 0

3 years ago

Find the equation of the line that passes through (-1,-3) and is perpendicular to

miv72 [106K]

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

3 0

2 years ago

Read 2 more answers

A bank loaned out 16,000 $, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in on

MakcuM [25]

Answer:

This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.

x + y = $16000 --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

6 0

3 years ago