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Gennadij [26K]
3 years ago
14

What is the length of the altitude of the equilateral triangle below? Thank you! <3

Mathematics
2 answers:
creativ13 [48]3 years ago
8 0

<u>Answer:</u>

The correct answer option is C. 4\sqrt{3}.

<u>Step-by-step explanation:</u>

We are given an equilateral triangle which is divided into two equal halves and that makes two right angled triangles with known measures of angles.

We are to find the length of the altitude of the triangle. For that we can use the trigonometric ratios.

sin 60 = \frac{a}{8}

\frac{\sqrt{3} }{2} =\frac{a}{8}

a= \frac{\sqrt{3} }{2} \times 8

a = 4\sqrt{3}

Therefore, the correct answer option is C. 4\sqrt{3}.

irga5000 [103]3 years ago
5 0

Answer:

The correct answer option is C. . \

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There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles.
Maru [420]

Answer:

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8 0
2 years ago
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What is the inverse of the given relation?<br> y=3x+12
stich3 [128]

For this case we have the following function:

y = 3x + 12

We change the variables:

x = 3y + 12

From here, we clear the value of y.

3y = x-12\\y = \frac {x} {3} -4

Then, we make the following change:

y = f (x) ^ {-1}

Finally, the inverse function is:

f (x) ^ {- 1} = \frac {x} {3} -4

Answer:

The inverse of the given relation is:

f (x) ^ {- 1} = \frac {x} {3} -4

6 0
3 years ago
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5. Graph the given system of linear inequalities on the coordinate plane below. (2 points)sy &lt;-3x - 4&lt; 21-15NA11 2 3 4 5 6
xxTIMURxx [149]

ANSWERS

(5) Graph:

(6) Solutions: (-1, -5) and (-2, -7)

Not solutions: (1, 1) and (-4, -3)

EXPLANATION

(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.

The first inequality is y < -3x-4,

The second inequality is y < 2x - 1,

The graph of the system is the area shared by both graphs,

(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.

On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions

8 0
1 year ago
12. Determine the slope of the line having the equation 2x + y = 12
Virty [35]

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

4 0
3 years ago
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