The ratio ½ is in simplest form.> true or false

Mathematics

2 answers:

masha68 [24]4 years ago

8 0

True, you can't simplify 1/2 any further

Ad libitum [116K]4 years ago

4 0

Its True. You cannot simplify 1/2.

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A circle has a radius of 9 inches. The Radius is multiplied by 2/3 to form a second circle. How is the ratio of the areas relate

liraira [26]

Answer:

$\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81}{36} = (\frac{r_{1} }{r_{2}}) ^{2}$

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.

Step-by-step explanation:

Radius of first circle $(r_{1})$ = 9 inches

Area of first circle = $\pi r_{1} ^{2}$

Area of first circle = 9 × 9 × π = 81 π

Now, since the radius is multiplied by 2/3 for from a new circle.

∴ Radius of the second circle = $9 \times \frac{2}{3} = 6\ inches$

Area of second circle = $\pi r_{2} ^{2}$

Area of second circle = 6 × 6 × π = 36 π

Now,

$\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81\pi }{36\pi }$

$\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81}{36} = (\frac{9}{6}) ^{2} = (\frac{r_{1} }{r_{2}}) ^{2}$

∵ $(r_{1})$ = 9 inches and $(r_{2})$ = 6 inches

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e., $\frac {radius\ of\ first\ circle)^{2} }{(radius\ of\ second\ circle)^{2} } = \frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)}$

8 0

3 years ago

Kipp is making bird houses for a park. The guidelines tell him how many of each wooden in shape to use on one birdhouse .If he f

ankoles [38]

The answer to this is A) For 8 birdhouses, he will need 16 trapezoids.

(B = 12*4 is 48 not 16.) (C = A 2 to 1 ratio.) (D = a 1 to 2 ratio.) Hope that helps!

4 0

3 years ago

Read 2 more answers

How do you divide fractions

Igoryamba

1. Reverse the numerator and denominator of the second fraction and change the division sign to a multiplication sign

2. Multiply the 2 fractions (By multiplying the numerators and the denominators).

3. Simplify is necessary.

Hope this helped!

6 0

4 years ago

Please help. will mark brainliest if right