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netineya [11]
2 years ago
7

What are the values of the variables in the triangle below?

Mathematics
1 answer:
harkovskaia [24]2 years ago
8 0

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

Sin(30)=\cfrac{y}{6\sqrt{3} }

\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)

\sqrt{3}y=9

\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}

y=3\sqrt{3}

~

Cos(30)=\cfrac{x}{6\sqrt{3} }

\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)

\sqrt{3}x=9\sqrt{3}

\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}

x=9

Therefore, x=9 and y=3√(3)

~

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Please Help! Will Give A Brainliest!!
Ray Of Light [21]
A) because when they are equal it means that their y has the same value, which means their intersection point.


B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2    
    y1 = 4^-(-2) = 4^2 = 16 
    y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2      =>      so x=-2 isn't our answer
-------------------------------------------------------
x = -1
    y1 = 4^-(-1) = 4^1 = 4 
    y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2      =>       so our answer will be x = -1
-------------------------------------------------------
x = 0
    y1 = 4^-(0) = 4^0 = 1 
    y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2      =>      so x=0 isn't our answer
--------------------------------------------------------------
x = 1 
    y1 = 4^-(1) = 4^(-1) = 1/4 
    y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2      =>      so x=1 isn't our answer
--------------------------------------------------------------
x = 2 
    y1 = 4^-(2) = 4^(-2) = 1/16 
    y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2      =>      so x=2 isn't our answer

Which means that our final answer is: x=-1


C) You should draw both graphics, and their intersection point (x) will be the answer.


I hope it helped.


6 0
3 years ago
What is product of and<br> when x 20?
Masja [62]

A. The answer is 2. It does not matter what x is.

5 0
3 years ago
What is the interquartile range of this data?
jok3333 [9.3K]
Hello!

To find the interquartile range you subtract the lower quartile by the higher quartile

33 - 25 = 8

The answer is C)8

Hope this helps!
6 0
3 years ago
Could someone please help me with this question
bogdanovich [222]

Answer:

10 units

Step-by-step explanation:

Area of a triangle is \frac{h*b}{2}= Area

where h is the height, and b is the base

We can substitute these values into the area equation and get:

\frac{x*10}{2} = 50

Multiply both sides by 2:

x * 10 = 100

Divide both sides by 10:

x = 10

The missing side is 10 units long

3 0
3 years ago
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Asapppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!
svp [43]

Answer: x = 148 degrees

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that two angles that make up a line add to 180.  Thus, simply use the equation 32 + x = 180

x = 148

Hope it helps <3

5 0
3 years ago
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