For this case we have that, by definition, the medians of a triangle are the line segments that are drawn from a vertex to the midpoint of the opposite side of the vertex. The medians of a triangle are concurrent at a point.
If we look at the figure, we can discard triangles 3 and 4.
Also, by definition, the median divides the vertex angle into two equal angles.
Thus, the correct option is triangle 1.
Answer:
Triangle 1
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
The correct option is (B) show that Mrs. Deverell continues to be diminished in her new home.
<h3>
What does line 73 described?</h3>
In line 73, the author compares Mrs. Deverell to an "intimidated child" primarily in order to -
- Mrs. Deverell had no part to perform in her forever residence with Angel—all housekeeping work were to be left to a servants alone, and all other obligations were to be taken over from Angel.
- Mrs. Deverell would given situation wander all around house, bored, when she had nothing to do.
- The author utilizes the metaphor of a scared child in this situation.
- As a result, this analogy conveys to the reader Mrs. Deverell's limited status in her new home.
Therefore, according to the writer; in the line 73 the best description for the intimidated child is shown by option B.
To know more about the child, here
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Answer:
C) The initial value is 32, and the rate of change is 1.
Step-by-step explanation:
This is the correct answer for edge
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
