<span>P(9,12): For all intents and purposes, the hypotenuse is "r", the opposite side is "y", and the adjacent side is "x".
x = 9 (from the P(9,12))
y = 12 (also from the point)
Using the Pythagorean Theorem, you find out that r = 15.
Therefore, since cos θ = x/r
cos θ = 9/15 or 3/5
Answer: 3/5</span>
Answer:
43.35pi m cubed
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Where r = radius
h = height
Given r = 1.7m and
h = 15m
Volume = pi x (1.7)^2 x 15
= pi x 1.7 x 1.7 x 15
Multiply through
Volume = 43.35 pi m cubed
Answer:
down below!
Step-by-step explanation:
a) width: 2,3,4,5 length:9,8,7,6
all you need if for those numbers to add up to 11 together because the perimeter itself is 22 so you always want to be able to add those two numbers and be able to double it to the perimeter if that makes sense.
b) the greatest area there will be would be width: 5 and length: 6 because 5x6 equals 30 and multiplying the others would be less than that. hence 2x9=18, 3x8=24, and 4x7=28
please let me know if this helps if not I can try to explain another way!
Replace the x values in the equation, then solve:
[(-2)^2+4]/[(-2)^2-2(-2)-48=
(4+4)/4+4-48=
8/8-48=
8/-40=
-1/5
Answer:
24
Step-by-step explanation:
4a+2b= 86 cm
a²+b²= 386 cm²
a+b=?
----------
- 4a+2b= 86
- 2a+b= 43
- (2a+b)²=43²
- 4a²+4ab+b²=1849
b²= 386- a², b= 43- 2a
- 4a²+4a(43-2a)+386-a²-1849=0
- 4a²+172a-8a²-a²-1463=0
- -5a²+172a-1463=0
- 5a²-172a+1463=0
solving quadratic equation we get
a=19 - integer solution
b= 43-2*19= 5
a+b=19+5=24
