Answer:
33 feet
Step-by-step explanation:
We can draw a triangle in this situation.
<u>Note:</u>
The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.
Which trig ratio relates "opposite" and "adjacent"?
It is Tan
Thus we can write and solve (let height of tree be h):

To the nearest foot, the height of tree is about 33 feet
Answer:
-2
Step-by-step explanation:
Sincwe perpendicular slope are the opposite reciporcal
0.03x+0.035 (5000-x)=155
Solve for x
X=4000 invested at 3%
5000-4000=1000 invested at 3.5%
Answer:
He can give 4 friends pieces of a candy bar.
Step-by-step explanation:
Each person has to have exactly 3/4 a candy bar.
If you divide all 3 1/2 candy bars into fourths, you will have 14 pieces.
So then, take out portions of 3 at a time, so take out 3 of these pieces, you have one friend. Take out another 3 pieces you now took 6 out and gave to 2 friends. Take another three and you've taken out 9 pieces for 3 friends. Take one more set of 3 pieces you now have taken out 12 pieces for 4 friends. There are only 2 more pieces left which is not enough for another friend so you have 4 friends that got some chocolate.
Hope this helps!! :)
Answer:

Step-by-step explanation:
step 1
Find the slope of line L
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
In this problem we have

Isolate the variable y

The slope of the given line is

so
The slope of the Line L is

step 2
Find the x-intercept of the line

The x-intercept is the value of x when the value of y is equal to zero
so
For y=0

The x-intercept is the point (5/2,0)
step 3
Find the equation of the line L
Find the equation of the line in point slope form

we have

substitute


Convert to standard form
AX +By+C
where
A is a positive integer
B and C are integers
Multiply both sides by 4
