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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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What two number multiplies to get 15 and adds to get 6
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3 years ago
What is the range of the function f(x) = -|X - 4| + 5?
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Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

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<em />

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3 0
3 years ago
The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o
True [87]

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

5 0
3 years ago
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