I hope this helps you
A=Area
b=base
h=height
A=b×h/2
A=1/2.b+1/2.h
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
The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)
We have two coordinate points - A(- 10, 2) and B(- 5, -1)
We have to find the midpoint of this line AB.
<h3>What is Mid - Point Theorem?</h3>
It states that a line with endpoint coordinates as -
and
has its mid - point at the coordinates -

According to question, we have -
First coordinate Point -
= (- 10, 2)
Second coordinate Point -
= (- 5, - 1)
Using the Mid - Point formula, we get -
=

Hence, the Mid - point of the line segment is at coordinates -
M(- 7.5, 0.5)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ1
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation: