<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
Assuming Lindsey takes 5 hours to mow a lawn, she earns from twelve lawns
12*70=$840.
If the above assumption is not correct, @funnyork2005 needs to clarify the question.
Answer:
See Explanation
Step-by-step explanation:
We see that . We can use this to find that .
Answer:
is the length of AB
Step-by-step explanation:
We want to find the area enclosed my connecting the three points
, , and where is positive.
We are going to use AB has the base length of this triangle.
We are going to use OP has the height of this triangle.
P will be the intersection point of AB and OP such that OP is perpendicular to AB.
Once we find the base and the height, we will be able to find the area of triangle using the following formula:
.
I will find later so that AB is at maximum height.
Let's begin.
I could only fit the question I labeled Problem 2 above:
Length of AB
So to compute length AB I'm going to use the distance formula:
Factor out the since this square root contains a perfect square:
.
This last line is as far as I'm going to simplify the distance between points A and B. is the length of AB.
Side note: I did use the formula to help me expand the squared differences/sums.