Associative property is a+(b+c)=(a+b)+c
step1 is commutative property of addition
2nd step is associative property of addition
3rd step is distributive property
4th step is mutliplication or associative property of multiplication
Answer:
49.6
Step-by-step explanation:
A = πr2, (Pi r-squared)
A = (3.14)(8)2
A = (3.14) (64)
A = 198.4
but you need to take 1/4th of that since you are only looking at 1/4th of the circle so,
.25 x 198.4 = 49.6
Answer:
b. x + 1
Step-by-step explanation:
x¹⁶ − x¹⁴ = k (x¹⁵ − x¹⁴)
x¹⁴ (x² − 1) = k x¹⁴ (x − 1)
x² − 1 = k (x − 1)
(x − 1) (x + 1) = k (x − 1)
x + 1 = k
Hi!
The equation looks like this:
P = N * 12, where P represents the total number of pencils and N is number of packs
Hope this helps!
Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.