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ratelena [41]
3 years ago
14

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

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Fed [463]

9514 1404 393

Answer:

  (-2, -3), (1, 6), (2, 9) are plotted in the attached graph

Step-by-step explanation:

For x = -2, y = 3(-2) +3 = -3. The ordered pair is (-2, -3).

For x = 1, y = 3(1) +3 = 6. The ordered pair is (1, 6).

For x = 2, y = 3(2) +3 = 9. The ordered pair is (2, 9).

The graph is attached.

5 0
2 years ago
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A rectangle has 3 square feet and width 1/2 foot. What is the length of the rectangle
Yakvenalex [24]

Answer:

We Know, Area = Length * Width

Here, A = 3

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3 = L * 1/2

L = 3/ 1/2

L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

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8 0
3 years ago
Find the equation of the line that contains the point (-4,-1) and is perpendicular to the line 4x+5y=15. Write the line in​ slop
AlexFokin [52]

Hope this was helpful

7 0
2 years ago
What does 90-3x equal
Nikolay [14]
90-3x=?

Get x to one side 

So minus 90 from each side

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6 0
3 years ago
Can anyone help me with this?<br>complete the table of values of <br>f(x) = 3×​
n200080 [17]

Answer:

See sample table below.

Step-by-step explanation:

The function is given as :

f(x) = 3ˣ

A table of values can be formed as ;

x                <u>calculations</u>           f(x)

-4               3⁻⁴                          0.0123

-3               3⁻³                          0.0370

-2               3⁻²                          0.1111

-1                3⁻¹                           0.3333

0                 3⁰                            1.000

1                  3¹                             3.000

2                 3²                             9.000

3                 3³                              27.00

4                 3⁴                              81.00

8 0
3 years ago
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