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3 years ago

HELP!!!!! PLEASE!!!!

Mathematics

1 answer:

finlep [7]3 years ago

3 0

Cant really see it the picture

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

4 years ago

Cylinder that have the same base area and height. The volume of the prism is given by the formula V=lwh. In the formula for the

valentina_108 [34]

Answer:

The length x width is the area so we have to replace it with the area of the cylinder.

The area of a circle is pi x radius^2

Hope this helps

Step-by-step explanation:

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3 years ago

On the treadmill, Bethany walks at a rate of 3 steps every 2 seconds. At this rate, how many seconds will it take Bethany to wal

Darya [45]

Answer:

Step-by-step explanation:

do the math duuuuu

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3 years ago

What is 8 and 4/25 and as a mixed fraction or mixed number.

Sphinxa [80]

Answer:

Improper fraction for 8 4/25 is 204/25

Step-by-step explanation:

The numbers in the mixed fraction are defined as follow

8 = whole number

4 = numerator

25 = denominator

Multiply the whole number by the denominator

8 × 25 = 200

Add the product from Step 1 to the numerator

200 + 4 = 204

Write answer from Step 2 over the denominator

204/25

The mixed number 8 4/25 converted to improper fraction is therefore :

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3 years ago

Multiple Choice<br>1. Which angle is a right angle? (1 point)

SIZIF [17.4K]

Answer:

no one can answer this question since it doesn't show the choices, but if whichever one is 90 degrees/ has a little square in the corner would be the right answer

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3 years ago