Answer/Step-by-step explanation:
Scale factor: 1/4
AC = DF and 10 ÷ 2.5 = 4
10 x 1/4 = 2.5
DE length: 5
AB = DE
20 x 1/4 = 5
BC length: 30
EF = BC
(Because EF is the dilation) 7.5 x 4 = 30
- $20,000
- $25,000
- $30,000
- $40,000
the distribution exhibits ___.
- a negative skew
- a positive skew
- symmetry
- uniformity throughout
Answer :
Given that : a car salesperson sells cars at prices ranging from $5,000 to $45,000.
So, The least price = $5000
The largest price = $45000
Therefore, The correct option is B. $25000
Now, we need to state what the distribution exhibits
From the graph we can see at the both sides of the median the graph is similar on the either side.
⇒ The graph is symmetrical about the median.
Hence, The distribution exhibits symmetry.
Therefore, The correct option is C. Symmetry
Answer: the correct answer is $25,000 (b)
&
The Second answer is symmetry (c)
Step-by-step explanation:
B) DE/BC
C) CE/AC
D) AE/AC
Answer:
The answer is C, I just got it right on a quiz. Good luck!
Step-by-step explanation:
Answer:
How far did the ship travel between the two observations of the lighthouse = 9.29
Step-by-step explanation:
the first step to answer this question is drawing the illustration as the attachment.
P is the ship, R is the light house and Q is the bearing.
PR is the distance between the ship and the light house, PR = 10.5
∠P = 42.8°, ∠Q = 59.7°
Thus, ∠R = 180° - ∠P - ∠Q
= 180° - 42.8°- 59.7°
= 77.5°
PQ is the the distance of the ship moving. We can use the sinus equation
=
=
PQ = ()(sin 59.7°)
= 9.29
Using trigonometric principles, the ship is estimated to have traveled approximately 19.8 miles between the two observations.
Your question involves the application of trigonometry in real life, in this case, calculating the distance traveled by a ship. The first sighting puts the lighthouse at N 42.8 degrees E, and the second sighting puts it at S 59.7 degrees E. So, the angle turned by the ship, relative to the lighthouse is 42.8 degrees + 59.7 degrees = 102.5 degrees.
We know the distance to the lighthouse from the first sighting is 10.5 units (let's say miles), and we need to find the distance traveled by the ship in the meantime. So, if we draw this situation it will resemble a triangle with the lighthouse as one point, and the initial and final positions of the ship as other points. The triangle will have one angle (between the initial position of the ship, the lighthouse, and the final position of the ship) of 102.5 degrees and one side (distance from the lighthouse to the initial position of the ship) of 10.5 miles. Now, the side of a triangle opposite an angle in a triangle is given by the side adjacent to the angle times the tangent of the angle.
So, the distance traveled by the ship = 10.5 * tan(102.5) = 19.8 miles approximately.
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