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3 years ago

Explain what the slope of each line below represents. Then find the slope and give its units

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

Answer:

The slope represents the rate of change of water volume stored in a storage tank.

The slope here is -900 in units of gallons per month. (gal/mos)

Step-by-step explanation:

The slope is rise over run, going from left to right.

Looking at the difference in time then, it is a period of ten months, and the volume difference is -9000 gallons.

The slope then is -9000 gallons divided by 10 months, which is -900 gallons per month

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Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If c represent

ANEK [815]

Answer:

The Value of c can be found using the formula 3c = 8.37. Each Baseball costs $2.79

Step-by-step explanation:

3c=8.37 divide 3c and 8.37 by 3 and it will tell you that c = 2.79.

3 0

3 years ago

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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

Am I correct?<br><br> Which graph represents the line y= 1/5x

lara31 [8.8K]

Yes. Slope = rise over run so you go up one, over five

5 0

3 years ago

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Geometry- The base of a triangle is sqrt 18 cm and it’s height is sqrt 8 cm find it’s area.

inn [45]

Answer:

72 Centimeters

Explanation:

Formula for area: 1 /2 b · h

b = Base (18 cm.)

h = height (8 cm.)

1 / 2 Base: 9

height: 8

9 · 8 = 72

Therefore the area of the triangle is 72 centimeters

6 0

3 years ago

Someone please help me!<br><br> 64x squared y cubed + 8xy divided by 4xy squared

Burka [1]

64x^2+8xy/4xy^2. This should be what you’re looking for hopefully

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3 years ago