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frozen [14]
3 years ago
8

Write and solve a real world problem involving the multiplication of a fraction and a whole number whose product is between 10 a

nd 15
Mathematics
1 answer:
Fed [463]3 years ago
4 0
A runner ran 1/2 of a mile for 24 days. How many miles did the runner run in all? (1/2×24=12) Therefore, the runner ran 12 miles in all in the course of 24 days.
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While driving to a work site, Ross realized he was almost out of gas, so he stopped at a gas station to fill up his truck. The t
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What is the missing number
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F is directly proportional to a . If F = 24 when a = 8 find, F when a = 6
Brilliant_brown [7]

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18

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6 0
3 years ago
9.01 prove that the two circles are similar
il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

so

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A  

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A  

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

4 0
3 years ago
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