Where is the angle? How can I solve this without the problem?
9514 1404 393
Answer:
6.2 ft
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...
3000 ft³ = π(2h)²h
(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³
h = ∛(750/π) ft ≈ 6.2 ft
The pool is about 6.2 feet deep.
Answer:
-1.66666666667 yards
Step-by-step explanation:
15x+12=6x-3
subtract 6x on both sides
9x+12=-3
subtract 12 on both sides
9x=-15
x=-1.6666666666667
Answer:
If the children divide evenly onto 3 buses, there will be 11 children on each bus
Step-by-step explanation:
Add all 3 classes to ind total amount of students
Ms. Noels class has 10 students
Mr. Grubbs class has 9 students
Ms. Ackerman's class has 14 students
<u>Total Students:</u> 10 students + 9 students + 14 students
33 total students
Dividing 33 students in 3 busses is 33 / 3 which equals 11
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
