<h3>
Answer: 40</h3>
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Explanation:
The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.
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A slightly longer alternative path would be to do this:
The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...
20+20+c = 180
40+c = 180
c = 180-40
c = 140
Then angle b is supplementary to this
b+c = 180
b+140 = 180
b = 180-140
b = 40
This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.
In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.
Surface area = πr² + πrl
Surface area = π(3)² + π(3)(7) = 94.25 in² (nearest hundredth)
Answer:
2 1/4 pints
Step-by-step explanation:
create a ratio with the fact there are 16 ounces in 1 cup
let 'p' = number of pints
<u> 16 </u> = <u> 36 </u>
1 p
cross-multiply: 16p = 36
p = 36/ 16, which is 9/ 4, or 2 1/4
Answer:
C
Step-by-step explanation:
To solve this problem, we need to first find the ratio of numbers less than four to total numbers.
There are 3 numbers on the wheel less than 4 (1, 2, and 3). There are 8 total numbers, meaning the ratio of numbers less than 4 to total numbers is 3:8.
Now, we need to find the probability of spinning a white number. There are 3 white numbers on the wheel (3, 5, 8). However, one of these numbers (3) is less than 4, so it is already accounted for in the previous ratio. There are 2 numbers left, meaning the ratio of remaining white numbers to total numbers is 2:8.
Adding this to the original equation, we get 5:8. As a fraction, 5:8 = 5/8. The answer that correctly highlights this is C.
Answer:
3
Step-by-step explanation:
it adds three every time
