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lora16 [44]
4 years ago
14

The answer step by step

Mathematics
1 answer:
vivado [14]4 years ago
7 0

Remember:

-When multiplying numbers with decimals just forget about the decimals for a second and pretend you are multiplying a 3 digit number times a 2 digit number.

-one digit at a time. Multiply going from right to left.

First:

-Multiply the 3 with the top numbers.

-Pretend you are seeing this:

5.72 (3)

- 2*3=6. 7*3=21. (carry the 2). 5*3 +2=17. (leave the 1).

Second:

-write below and move a digit to the left.

-pretend you are seeing this: 5.72(6).

- 2*6 =12. (carry the 1). 7*6 +1=43. (carry the 4) 5*6+4=34. (leave the 3).

Third: since in the problem the decimal is placed in the hundredths only once, place the decimal in the hundredths as your solution.

Your solution should be 360.36

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A pool measuring 8 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the poo
Ainat [17]
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0.          Divide through by 4.
x²  + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients:  1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check:   25*-8 = -200         25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x


 x² +17x - 200 = 0     

x² + 25x - 8x - 200 = 0     

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0    or   x - 8 = 0

x = 0 -25              x = 0 + 8

x = -25                    x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.
8 0
3 years ago
Simplify: 4 - 5.2 + 6 + 7.9 - 8
eimsori [14]

3.9x+0.8y is the answer to your question.

3 0
3 years ago
Laura took 12 hours to read a 360 page book. At this rate, how long will it take her to read a 400 page book?
vesna_86 [32]
First, you would divide 360/12= 30 pages an hour, so then you would 400 / 30 = 13.3 hrs
8 0
3 years ago
I know it’s a lot to ask but please show your work so I know how to do it. Thank you!
jonny [76]

Answer:

The answer to your question is below

Step-by-step explanation:

Use trigonometric functions to find x

13.  cos 40 = 5/x

     x = 5 / cos 40

     x = 5 / 0.766

     x = 6.5

14. tan 25 = x/9

     x = 9tan 25

     x = 9(0.466)

     x = 4.2

15.- cos 65 = x/12

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      x = 12 (0.423)

      x = 5.1

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      x = 15 / sin 32

      x = 15 / 0.53

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17.- tan 55 = 20 / x

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8 0
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Write the equation of the line above in point slope form.
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Answer:

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Step-by-step explanation:

4 0
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