Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
Answer:
x=5
From the dashed lines on the two sides of this triangle, we can see that these two sides are congruent, or equal, to each other.
In geometry, if a triangle has two congruent sides, then we can call it a <em>isosceles triangle</em>.
In an isosceles triangle, the corners opposite the congruent sides are also congruent, meaning, that the angle measures of this triangle are: 88, 9x+1, and 9x+1.
We also know that angles in a triangle add up to 180 degrees.
So, we have: 88+(9x+1)+(9x+1) = 180
Simplifying: 18x + 2 = 92
Solving: 18x = 90, so x=5
Hope this helps!
Answer:
Step-by-step explanation:
Compound inequality has been given as,
12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6
By simplifying it further,
12(2x - 10) + 24 ≥ 48
(2x - 10) + 2 ≥ 4
(2x - 10) + 2 - 2 ≥ 4 - 2
2x - 10 ≥ 2
2x - 10 + 10 ≥ 2 + 10
2x ≥ 12
x ≥ 6
6x + 15 - 9x ≥ 6
(6x - 9x) + 15 ≥ 6
(-3x) + 15 ≥ 6
-3x + 15 - 15 ≥ 6 - 15
-3x ≥ -9
3x ≤ 9
x ≤ 3
We have to plot the inequality on a number line
x ≥ 6 Or x ≤ 3
Answer:
w = 7 7/8
Step-by-step explanation:
w + 1/8 = 8
First, subtract 1/8 from both sides of the equation
w + 1/8 = 8
- 1/8 - 1/8
w = 7 7/8
Answer:
5/6
Step-by-step explanation:
