First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
Answer:
49.4
Step-by-step explanation:
So, 1 Gallon = 3.8 Liters. We need to find how many liters are in 13 gallons.
All we need to do is multiply our 3.8 liters (1 gallon) by 13 to find out how many liters 13 gallons is.
3.8 x 13 = 49.4
Your answer is 49.4.
<u>Hope this helps and have a nice day!</u>
Answer:
h≈9cm
Step-by-step explanation:
V=
π
r
2
h
3 h=
3
V
π
r
2
=
3
602.88
π
8
2
≈
8.99544cm
since all sides are equal, which means all angles must also be equal to one another
all angles =60°
solving 7x-3=60
7x=63
x=9
similarly 11 y+5=60
11y=55
y=5