Lee’s kitten, Sophia, is 2 1/3 times as heavy as she was last year. Sophia now weighs 21 ounces. What did she way a year ago?
1 answer:
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Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = × 2 π r, where
- α is the angle of the sector
- r is the radius of the circle
∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π =
→ Substitute them in the rule above
∵ 22 = × 2 ×
× r
∴ 22 = r
→ Divide both sides by
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
There are 400 candies in the machine.
Step-by-step explanation:
Given,
Number of red candies in machine = 104
This represents 26% of the total candies.
Let,
x be the total candies in the machine.
According to statement;
26% of x = 104
Dividing both sides by 0.26
There are 400 candies in the machine.
Keywords: percentage, division
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