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Trava [24]
2 years ago
11

Quick I need help on this, please The screenshot below ( Will Mark As Brainlliest )

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:

Rate of change/slope: 35

Miles at 10 hours: 350

Step-by-step explanation:

We can find the rate of change or the slope by using the slope formula below:

m = (y2-y1)/(x2-x1) where m is the slope

To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)

m = (140-70)/(4-2)

m = 70/2

m = 35

The rate of change is 35 miles per hour

To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).

y = mx + b

70 = 35(2) + b

70 = 70 + b

b = 0

So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:

y = 35(10)

y = 350

The number of miles at 10 hours is 350 miles

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Step-by-step explanation:

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3 years ago
A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

\frac{116.36}{153.93} *100=75.6

percentage of the total capacity is 75.6%

3 0
3 years ago
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