Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
The area of a triangle is given by
... A = (1/2)bh
where b is the length of the base and h is the height perpendicular to the base. For your right triangle, the area is
... A = (1/2)(4 m)(7 m) = 14 m²
The area of a circular sector is given by
... A = (1/2)r²·sin(α)
where r is the radius and α is the angle in radians. For your sector, the area is
... A = (1/2)(4 m)²sin(60°) = 4√3 m²
Then the area of the base of your cylinder is the sum of these, ...
... B = (14 + 4√3) m²
The volume of a cylinder is the product of its base area and height.
... V = Bh
For your cylinder, that volume is
... V = ((14 +4√3) m²)·(8 m)
... V = (112 +32√3) m³ ≈ 167.43 m³
Answer:
x= x ≥ 2 or x ≤ -2
Step-by-step explanation:
Answer:
C. Rocks.
Step-by-step explanation:
A geologist usually studies rocks.
His studies are of the Earth, the composition of the rocks of the Earth and how they were formed.
10/3 = 3 r1
so each sibling has 3, but Carrie gets the remaining 1.
so she has 4