<h3>There are two answers: Choice C, Choice D</h3>
Explanation:
For any acute triangle, the center of the circle is always inside the triangle.
For any right triangle, the center of the circle is the midpoint of the hypotenuse. The hypotenuse is the diameter of the circle.
For any obtuse triangle, the center of the circle is outside the triangle.
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Let's look at the answer choices more closely
A. False. This is only true if we have a right triangle as mentioned earlier.
B. False. This describes an inscribed circle.
C. True. As stated earlier.
D. True. This is based on how the circumscribed triangle is defined. It is set up to be the circle that goes through all three vertex points of a triangle. In other words, it is the smallest circle to completely enclose the given triangle.
Answer:
B. 3/11
Step-by-step explanation:
the division symbol: ÷ essentially is the same as /
if you replace ÷ with / its the same thing.
Answer:
6
Step-by-step explanation:
C) 1059 skittles
Step-by-step explanation:
We know that the first container held 192 skittles. Knowing the dimension of the container we can calculate the volume of 192 skittles:
Volume of 192 skittles = 5 × 4 × 4 = 80 cm³
Volume of 1 skittle = 80 / 192 = 0.42 cm³
We also know that the second container held 258 skittles. Knowing the dimension of the container we can calculate the volume of 258 skittles:
Volume of 258 skittles = 12 × 3 × 3 = 108 cm³
Volume of 1 skittle = 108 / 258 = 0.42 cm³
We found that the volume of 1 skittle is equal to 0.42 cm³. Now we calculate the volume of the skittles jar:
volume of cylinder = π × radius² × height
volume of skittles jar = 3.14 × 3.5² × 11.5 = 442 cm³
Now we can calculate the number of skittles in the jar:
number of skittles in the jar = volume of the jar / skittle volume
number of skittles in the jar = 442 / 0.42 = 1052 which is close the C) 1059
Learn more about:
volume of cylinder
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Answer:
Step-by-step explanation:
C