1. x/-3=-15
x=45
2. -7+3(-12)÷-3
-7+12
5
3. f(-4)=(-4)²-(-4)
f(-4)=16-(-4)
f(-4)=20
4. x-9=17
5. 2x+3=35
6. -8-12-(-20)
-20-(-20)
0
7. -2(-3)²(-1)
-2(9)(-1)
-18(-1)
18
8. x-(-2)
9. subtract 7 then divide by -2
10. 6+(-18)+(-13)+9
-12-4
-16
11. 5x=11
12. division property
13. -3³ = -27
14. x/2-3=7
x/2=10
x=20
15. 2x-5=15
16. x/-4-(-8)=12
x/-4=4
x=-16
17. 168
18. 16-20-(-8)-9
-4-(-8)-9
4-9
-5
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
They are equal...1/5 is half of 2/10
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
7
Step-by-step explanation: 7-6 = 1
-5-(-3)=-8
