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Wittaler [7]
2 years ago
6

Each unit on a coordinate plane represents one mile. One end of a road starts at (-12, -3). The road ends at (6, -3). How long i

s the road?
Mathematics
1 answer:
kenny6666 [7]2 years ago
5 0
The distance from x=-12 to x=6 on the horizontal line y=-3 is
.. 6 -(-12) = 18 units

Since each unit represents 1 mile, the road is 18 miles long.
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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)
Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

              Composite figure is combination of a  half sphere and cone

              Both have a radius of 4 centimeters

              The cone has a height of 15 centimeters

Step:1

   Volume of composite figure = Volume of half sphere + Volume of cone  

Step:2

     Formula for volume of semi sphere,

                                    Volume of half sphere, V_{Half sphere} = \frac{2}{3}  \pi  r^{3}

     Where, r - Radius of Half sphere,

     From given, r = 4 centimeters

                                    V_{Half sphere} = \frac{2}{3}  \pi  4^{3}

                                                       = (0.6667) (3.14)  (64)        (∵ \pi = 3.14 )

                                      V_{Half sphere} = 133.9733 cubic centimeters

     Formula for volume of cone,

                      Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h

     where, r - Radius of cone

                h - Height of cone

     From given,

                 r = 4 centimeters

                h = 15 centimeters

     Volume of cone,

                                                V_{cone} = \frac{1}{3} \pi 4^{2}(15)    

                                                         = (0.333333) (3.14)(16)(15)       (∵ \pi = 3.14 )

                                                 V_{cone} = 251.1997 cubic centimeters

Step:3

        Volume of composite figure =  133.9733 + 251.1997

       Volume of composite figure  = 385.17 cubic centimeters

Result:

         The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0
3 years ago
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Can anyone explain how to do any of this?
pashok25 [27]

Answer:

qn 10. 15mn² - 23m²n +4m³

Step-by-step explanation:

1. distribute 4m through the parenthesis

8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)

2. use the commutative property to reorder the terms

8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)

3. distribute -2n through the remaining parenthesis

8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n

4. collect like terms

8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³

5. complete bodmas

15mn² - 23m²n +4m³

that's is how you do it so the answer is

15mn² -23m²n + 4m³

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3 years ago
How to simplify 7 8/45
steposvetlana [31]

Answer: Answer

Step-by-step explanation: What do you mean by simplify?

8 0
3 years ago
Bob has 77 strawberries and blueberries. He wants to divide them into 2 groups so that for every 4 strawberries there are 7 blue
Serjik [45]

Answer:

44 strawberries to 77 blueberries

Step-by-step explanation:

You must change the ration to 4:7 4 strawberries to 7 blueberries.

Then divide from the total to see how many you can have.

I am guessing that you have 77 of each. so that means you can have 44 strawberries to 77 blueberries.

At this point, you've used all your fruit! Time to go get moreE

Hope this helps!

Brainliest please?

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3 years ago
Determine the product<br><br> 800.5 x (2 x 56)
Vedmedyk [2.9K]
The answer is in the photo provided

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