Answer:
10,995.6 ft^3.
2300.3 gallons.
(both to the nearest tenth).
Step-by-step explanation:
Area of the surface of the river = area of the outer circle - area of the inner circle.
Radius of the outer circle = 30 *3 = 90 feet.
So the surface area of the river = π(90)^2 - π(85)^2
= 875π ft^2
Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3
= 10,995.6 ft^3.
Number of gallons of water it will hold = 10,995.6 / 4.78
= 2300.3 gallons.
Answer:
Step-by-step explanation:
b would be 0
your slope is rise/run. up one and over three. up one and over three. so 1/3
write it as y=1/3x+0, or y=1/3x
<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer:
8-inch pattern is fully printed 28 times.
12-inch pattern is fully printed 19 times.
Patterns start at the same place 9 times
Step-by-step explanation:
1. 19 feet is 228 inches.
2. 8-inch pattern is fully printed 28 times.
3. 12-inch pattern is fully printed 19 times.
4. 8-inch patterns starts at`0,8,16,24,32,40,48...
5. 12-inch pattern starts at 0,12,24,48...
6. As you see they start at the same place after 24 inches.
7. 228/24=9.5, => They start at the same place 9 times.