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3 years ago

If circle A has a radius of 4.7 cm, what is the diameter?

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer:

7.4cm

Step-by-step explanation:

diameter =2radius

=2×4.7

=7.4cm

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The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).

Natalija [7]

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

Actual length = 122 in.

Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

$\frac{6.1}{1.8} = \frac{122}{x}$

Cross multiply

$6.1*x = 122*1.8$

Divide both sides by 6.1

$x = \frac{122*1.8}{6.1}$

$x = 36$

Actual width of the rectangle = 36 in.

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3 years ago

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2 years ago

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint o

blagie [28]

Answer:

$m=-\frac{1}{6} \approx -0.1667$

$M=(1,\frac{17}{2} )=(1,8.5)$

$d=\sqrt{37} \approx 6.083$

Step-by-step explanation:

(i) For two different points on a line, the slope m is defined as the difference on the y-axis divided by the difference on the x-axis:

$m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}$

Where:

$(x_1,y_1)=(-2,9)\\\\(x_2 , y_2)=(4,8)$

So:

$m=\frac{8-9}{4-(-2)} =\frac{-1}{6} \approx -0.1667$

(ii)

To find the coordinates of the midpoint, you can use the following formula:

$M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

Therefore:

$M=(\frac{-2+4}{2} , \frac{9+8}{2} )=(\frac{2}{2} , \frac{17}{2} ) =(1,8.5 )$

(iii) The distance between two points is given by the following formula:

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }$

Hence:

$d=\sqrt{(4-(-2))^{2}+(8-9)^{2} } =\sqrt{(6)^{2}+(-1)^{2} } =\sqrt{36+1} =\sqrt{37} \\\\d\approx 6.083$

8 0

2 years ago