Answer:
B shows a translation of three units to the right
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
First, you've got to figure out the value of the radius so divide the diameter by two. Then, you'll want to find the area of the base or pi times radius squared.
(3.14x3^2)x9=V
After doing the math your answer comes out to 254.34 cubic feet or feet^3
Answer:
radius=3
Step-by-step explanation:
volumes of a cone = 1/3πr²h
12π = 1/3× π × r² × 4
37.7 = 12.6r²/3
cross multiply
37.7×3=12.6r²
113.1=12.6r²
make r² subject of the formula
r²=113.1÷12.6
r²=8.976
r=√8.976
r=2.996
r=3.0 (to the nearest tenth)
Answer:
<h2>
D. aₙ = 5n - 11</h2>
Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: 
d = 9 - 4 = 5
a₁ = -6
Therefore:
