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Goryan [66]
3 years ago
12

What is 240,000 written as a whole number multiplied by a power of 10?

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

240,000  =  24 x 10⁴

240,000  =  240 x 10³

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Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0.15) and B is at (20.0)
timama [110]

Answer:

M = (8,9)

Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0),  a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

AB=\sqrt{15^2+20^2} =\sqrt{625} =25

Now, to get a 2:3 proportion on Segment AB which is of length 25, we need to divide it in five equal parts (see the picture on the right of the attached image), and place point M at two of these divisions from point A (0,15) and along segment AB.

In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25,  each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

Now, in order to find the sides of this smaller triangle (which can give us the clues on the horizontal and vertical coordinates of point M), we can use proportions.

To find the length "x" of the horizontal side , we do:

\frac{x}{10} =\frac{20}{25} \\x=\frac{10*20}{25} \\x=8

To find the length "y" of the vertical side , we do:

\frac{y}{10} =\frac{15}{25} \\y=\frac{10*15}{25} \\y=6

Then, the coordinate "x" of point M will be "8", while we can calculate the y position of point M subtracting "6" from 15 (the length of the vertical side in the original triangle). This gives us the coordinates (8,9) for point M as marked in orange in the picture.

7 0
3 years ago
Salid bought 35 feet of window trim at a hardware store the trim cost 1.75 pet foot including sales tax if salid paid 100.00 bil
skad [1K]

Answer: Salid should get $38.75 of change.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Quantity of window trim bought: 35 feet </em>
  • <em>Cost per feet: $1.75 </em>
  • <em>Amount paid: $100 </em>

First, we have to calculate the total cost, by multiplying the Quantity of window trim bought (35) by the price per feet (1.75)

35 x 1.75 = $61.75

Finally, to calculate the change that Salid should get, we have to subtract the total cost (61.75) to the amount paid (100)

100-61.75=$38.75

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3 years ago
What’s the slope of (-6,1/2) and (-4,3)
balu736 [363]

Answer:

Use the slope formula to find the slope  m.

m  =  5 /4

Step-by-step explanation:

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3 years ago
What is the Domain and Range <br> of (10,9)
stira [4]

Answer:

domain 10 range 9

Step-by-step explanation:

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3 years ago
PLS HELP with this problem !!!
Sophie [7]

Answer:

god

Step-by-step explanation:

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