Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

Since we know the values of all three side lengths, we solve the equation for x:

For the triangle ABC in the image, a=10, b=15, c=13, thus:



Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:

Solving for h:

h = 8.54 units
Answer:
I'm not sure what you want me to answer from this, so I solved for every variable:
Angle A: 83°
Side b: 6.29
Side c: 5.8
Step-by-step explanation:
-----Angle A:
Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:

-----Side b:
Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:

-----Side c:

<span>The best answer is C.add 2 to both sides of the equation.
</span>5=x-2
5+2=x-2+2
7=x-0
x=7
You want to draw 2 kings from a 52 card deck. And you do it with replacement.
There are 4 kings in a standard deck. The probability of getting one of them is
4/52 on the first draw.
For the second draw the probability is the same.
4/52
The probability for both happening is
(4/52)*(4/52) = (1/13)*(1/13) = 1/169 = 0.001597
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation


Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.