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lbvjy [14]
3 years ago
8

A. 2 B. 38 C. 28 D. 48

Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

So you just multiply 8 * 6 = 48

Option D

Step-by-step explanation:

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Please show work and thank youuu
Assoli18 [71]

Answer:  6\sqrt{3}

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

The short leg is always opposite the smallest angle (30 degrees).

3 0
2 years ago
HELP NEEDED QUICK<br><br> Find the measure of the missing angles.<br> 103°<br> f<br> е<br> d =
Reika [66]

Answer:

77 degrees and 90 degrees

The angle d is shown as 90 by the perfect right angle. The angle e has to equal 180 when added to f. So 180-103=77.

3 0
3 years ago
Which expression is equal to 4^5x 4^-7 divided by 4^-2
olga_2 [115]

Answer:

4^5x-5

Step-by-step explanation:

4^5x-7/4^-2

=4^5x-5

5 0
3 years ago
Four girls have 5.00 to share equally. How much money will each girl get. Explain
Dennis_Churaev [7]

Answer:

Each will get $1.25

Step-by-step explanation:

5.00/4

= $1.25

5 0
3 years ago
There are 4 red die, 6 blue die, and 9 green die. What is the probabiltiy of selecting a green die?
m_a_m_a [10]
Answer: 9/19

Explanation: add all the die to find the total amount (19) so we know that 9 of the 19 die a green, therefore to probability is 9/19
5 0
3 years ago
Read 2 more answers
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