Answer:
- face: hemisphere
- hat: cone
Step-by-step explanation:
The diagram shows a cone atop a hemisphere. We associate the cone with the hat (because it is on top), and the hemisphere with the face.
The shapes use are ...
face: hemisphere
hat: cone
Answer:
A(-6,-1) B(-6, -5) C(-4, -1)
Step-by-step explanation:
When a coordinate is rotated 180 degrees, they go from (x,y) to (-x,-y), so all you need to do is multiply every coordinate by -1
Answer:
sector area = [central angle / 360] * PI * radius²
central angle = sector area * 360 / [PI * radius²]
central angle = 9 cm² * 360 / [3.14159 * 6²]
central angle = 28.6479139544 degrees
Source: http://www.1728.org/radians.htm
Step-by-step explanation:
Answers:
a. True
b. True
c. True
d. False
e. False
f. False
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Explanations:
n^2+n = n(n+1)
If n is odd, then n+1 is even, and vice versa.
Whenever you multiply an even number with an odd number, you always get an even number. This is because 2 is a factor of the overall product.
So n^2+n = n(n+1) is always even for any integer n. This makes choice A true.
Choices B and C follow immediately from this. They are more narrow examples, while choice A is more general.
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Since n^2+n = n(n+1) was shown to always be even, this means choice D is false. Choice D contradicts what choice A says. The same applies to choices E and F.