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pochemuha
3 years ago
7

Triangle LMN, shown below, is a right triangle.

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

9514 1404 393

Answer:

  D  cos(N)

Step-by-step explanation:

In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.

  Sin = Opposite/Hypotenuse

  sin(L) = NM/NL

and

  Cos = Adjacent/Hypotenuse

  cos(N) = NM/NL = sin(L)

The equivalent of sin(L) is cos(N).

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For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle
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Answer:

The correct answer is (b).

Step-by-step explanation:

A line is parallel to the x axis if it has a slope equal zero. Then if we compute the slope of the line that joins  the points (3,9), (8,9) then

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{9-9}{3-8}=\frac{0}{-5}=0

This implies that the line which that joins this points is parallel to the x-axis.

Observe that the slopes of the lines corresponding to the other items are nonzero.

8 0
4 years ago
Write an equation that represents the relationship in the recipe above, using s for cups of soda water and p for cups of pineapp
attashe74 [19]

Answer:

3/4

Step-by-step explanation:

7 0
3 years ago
Jimmy can walk 2/9 of a mile in 2/9 of an hour. How fast does he walk in miles/hour
kobusy [5.1K]

Answer:

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7 0
3 years ago
Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th. His checkbook shows a balance of
mr_godi [17]
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3 years ago
Factor completely 5x2 − 50x + 120.
BartSMP [9]

Answer:

<h2>Q1. d. 5(x - 4)(x - 6)</h2><h2>Q2. b. (8x - 1)(8x + 1)</h2>

Step-by-step explanation:

\bold{Q1}\\\\5x^2-50x+120=5(x^2-10x+24)=5(x^2-6x-4x+24)\\\\=5\bigg(x(x-6)-4(x-6)\bigg)=5(x-6)(x-4)\\\\\bold{Q2}\\\\64x^2-1=(8x)^2-1^2=(8x-1)(8x+1)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)

8 0
4 years ago
Read 2 more answers
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