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GaryK [48]
3 years ago
10

In right triangle LMN, ∠N is a right angle and cos M = 4685. What is m∠L to the nearest degree?

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0

the correct answer is 33

MakcuM [25]3 years ago
3 0
Cos m = .4685
cos^-1(.4685) = 62 degrees
angle L = 180-90-62 = 28 degrees
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5.47 x 10^3

Step-by-step explanation:

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If the following fraction is reduced, what will be the exponent on the p? - 5p^5q^4/8p^2q^2 5 4 3 2
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\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
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-\cfrac{5p^5q^4}{8p^2q^2}\implies -\cfrac{5}{8}\cdot \cfrac{p^5q^4}{p^2q^2}\implies -\cfrac{5}{8}\cdot p^5p^{-2}q^4q^{-2}
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8 0
3 years ago
Read 2 more answers
What is the slope of the line shown below? PLEASE HELP
NikAS [45]

Answer:

C. 2

Step-by-step explanation:

The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.

Your line goes up to the right, so its slope is positive.

The only answer choice that is a positive number more than 1 is ...

... C. 2

_____

The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.

Then the ratio of rise to run is 10/5 = 2. This matches answer C.

6 0
3 years ago
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Sergio [31]

Step-by-step explanation:

Area of triangular prism =1/2 ×base×height

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6 0
2 years ago
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The graph of a quadratic function is shown. Check all of the following statements that are true of the function.
Fed [463]

Answer:

a < 0

The vertex is (1,2)

Step-by-step explanation:

Looking at the graph

we have a vertical parabola open downward

The leading coefficient is negative

The vertex is a maximum

The vertex is the point (1,2)

The axis of symmetry is equal to the x-coordinate of the vertex, so the axis of symmetry is x=1

The y-intercept is the point (0,1)

The function has two real solutions (zeros of the function) one positive and one negative

The positive zero of the function is greater than 2

The negative zero of the function is greater than -1

<u><em>Verify each statement</em></u>

case 1) a < 0

The statement is true

Because the parabola open downward

case 2) The vertex is (1,2)

The statement is true

The vertex in this problem is the maximum of the function

case 3) The axis of symmetry is y =2

The statement is false

Because the axis of symmetry is x=1

case 4) x = 2 is a zero of the function

The statement is false

Because the positive zero of the function is greater than 2

case 5) (1,2) is a minimum

The statement is false

Because the vertex in this problem is a maximum

4 0
3 years ago
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