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Mathematics

1 answer:

kirza4 [7]4 years ago

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I hope this helps you

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How do I Factor -12 out of -24k + 120

Juli2301 [7.4K]

Answer:

-12(2k-10)

Step-by-step explanation:

You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.

4 0

3 years ago

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You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a watercolor kit on sale fo

telo118 [61]

Final price=original price*(100%- discount 1)(100%-discount 2)
original price=$40
discount 1=25%⇒ 100 - discount 1=100%-25%=75%=75/100=0.75
discount 2=15%⇒ 100 - discount 2=100%-12%=85%=85/100=0.85

original price=$40(0.75)(0.85)=$25.5

Answer: $25.5

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3 years ago

From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.

mario62 [17]

<h3>Answer: 73</h3>

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Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.