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Fed [463]
1 year ago
5

Find the length of side x in simplest radical form with a rational denominator.60°130°X

Mathematics
1 answer:
iren [92.7K]1 year ago
5 0

We will solve using the law of sines as follows:

\frac{1}{\sin(30)}=\frac{X}{\sin (60)}

Now, we solve for X:

\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}

So, the length of X is sqrt(3).

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Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

<u>(x-4)^2 + (y+5)^2 = 324</u>

3 0
3 years ago
Find the equation of the line which passes through the point (-4,12) and is perpendicular to the given line. Express your answer
Vika [28.1K]

Answer:

y = 1/7x + 88/7

Step-by-step explanation:

y = mx +b

since it is perpendicular you have to get the negative reciprocal of the slope which is 1/7

y = 1/7x + b then you would plug in your points

12 = 1/7(-4) + b and then solve for b

12 = -4/7 + b

+ 4/7

88/7 = b

y = 1/7x + 88/7

8 0
3 years ago
The state of Texas gained its independence from
padilas [110]
It would be 2020-1836 = 184 years ago
3 0
3 years ago
Please help and explain! *Serious answers only* 30 points :)
topjm [15]
Ok so it's a proportion so this fraction is to this fraction. the smaller rectangle has sides 4 and 12. the larger one has 8 and x. so u set it up 4/12=8/x. the 4 and 8 r both the short sides so u want those on top and 12 and x r long sides so those on bottom. since that is not an answer option u can set it up as 8/4=x/12 because u still keep the variables of the same rectangle from being multipled with each other. so answer #2 is correct
4 0
3 years ago
Read 2 more answers
Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarged it using a scale factor of 1.2. What will be the p
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Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.
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3 years ago
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