1. V = r² π hV = 3² π · 10 = 90 π in³Answer: C.2. r = 18/2 = 9 yd, h = 3 ydV = 9² π · 3 = 243 π yd³3. r = 46.25 / 2 = 23.125 cmh = 18.5 cmV = 23.125² · 3.14 · 18.5 = 31,064.53 cm³4. h = 1934, d = 1934 · 125 = 241,750 , r = 241.750 / 2 = 120,875 V = 120,875² · 3.14 · 1934 = = 14,610,765,625 · 3.14 · 1934 = = 88,727,673,056,875
<h3>
Answer: 35.5</h3>
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Explanation:
The triangles are identical. So this means that the triangle on the left has the horizontal portion of 50 ft, and the other sides are x ft (where x is a placeholder for a number).
Add up the sides for the either triangle. We have x+x+50 = 2x+50. This expression is the perimeter of one triangle. The perimeter of both triangles is simply us doubling that expression
combined perimeter of 2 triangles = 2*(perimeter of one triangle)
combined perimeter of 2 triangles = 2*(2x+50)
combined perimeter of 2 triangles = 2*(2x)+2*(50) ... distribute
combined perimeter of 2 triangles = 4x+100
We're told that the combined perimeters total 242 ft, so this means 4x+100 must equal 242
Solve for x
4x+100 = 242
4x+100-100 = 242-100 ... subtract 100 from both sides
4x = 142
4x/4 = 142/4 ... divide both sides by 4
x = 35.5
note: 35.5 feet = 35 feet, 6 inches because 1/2 ft = 0.5 ft = (0.5*12) inches = 6 inches
All you need is to solve the problem
4-2|n+6|>=2
subtracting 4 from both sides
-2|n+6|>=-2
dividing by -2 and flipping sign of inequality
|n+6|<=1
-1<=n+6<=1 subtracting 6 from both sides
-7<=n<=-5
the conjunction will be -7<=n and -5>= n
which is choice a
Answer:
y=1/3x-4
Step-by-step explanation:
The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from
1/3 comes from how many times the line rises (1) and run (3)
Hope this helps!