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Nadusha1986 [10]
3 years ago
15

What is the value of x? A. 4 B. 4 square root of 3 C. 8 D. 8 square root of 3

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0
X=Since you have an angle, a hypotenuse, and the opposite side, we can use:

sin(x)=opposite/hypotenuse
sin(60)=x/8 (cross multiply)
sin(60)*8=x
√3/2*8=x
x=8√3/2
x=4√3 so the answer is B

Hope this helps
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To the nearest tenth, find the perimeter of ABC with vertices A (-2,-2) B (0,5) and C (3,1)
Pavlova-9 [17]

the perimeter will then just be the sum of the distances of A, B and C, namely AB + BC + CA.


\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\qquadB(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\AB=\sqrt{[0-(-2)]^2+[5-(-2)]^2}\implies AB=\sqrt{(0+2)^2+(5+2)^2}\\\\\\AB=\sqrt{4+49}\implies \boxed{AB=\sqrt{53}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\B(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad C(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\\\\\\BC=\sqrt{(3-0)^2+(1-5)^2}\implies BC=\sqrt{3^2+(-4)^2}


\bf BC=\sqrt{9+16}\implies \boxed{BC=5}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\C(\stackrel{x_2}{3}~,~\stackrel{y_2}{1})\qquad A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\\\\\\CA=\sqrt{(-2-3)^2+(-2-1)^2}\implies CA=\sqrt{(-5)^2+(-3)^2}\\\\\\CA=\sqrt{25+9}\implies \boxed{CA=\sqrt{34}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\~\hfill \stackrel{AB+BC+CA}{\approx 18.11}~\hfill

5 0
3 years ago
Which of the following equations represents a graph that decreases?
almond37 [142]
D because it is a decimal (lower than 0)
7 0
3 years ago
The legend on a map states that
dimulka [17.4K]

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3 years ago
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Margaret [11]
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Divide the remainder term by the next highest power of 12, 12^1=12.

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7 0
3 years ago
What is the value of z?
VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

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Then subtract the z on the right side from both sides:

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-z          -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

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________

z = 61

6 0
3 years ago
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