Answer:
m = -7/-8 or 0.875
Step-by-step explanation:
Slope = m
Formula for slope w/ two points is: m = y2 - y1
/ x2 - x1
m= -4 - 3/ -6 - 2
m = -7/ -8
m = -7/-8 or 0.875
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
How much is the discount?
=$70
What is the final sale price?=$210
Step-by-step explanation:
$280 =100%
$x =25%
$280 x 25%=7000/100=<u>70</u>
<u>280-70=210</u>
Answer:
6/25
Step-by-step explanation:
0.24=24/100
24 divided by 4=6
100 divided by 4=25
24/100 = 6/25
Answer:
12x + 3 - 4x - 6 = 5
x=1
5x - 4 + 7 + 6x - 4x = 24
x=3