Answer:
Step-by-step explanation:
Ratios depend on the numbers that are being compared. When you are describing a part of a whole, a fraction is appropriate. When you are comparing two numbers, a ratio is appropriate.
Basically you can write ratio as fraction
Ex-4:2, 4/2
See what I mean?
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.
#SPJ11
Answer:
point slope form: y-3=2(x-1)
Slope-intercept form: y=2x+1
Step-by-step explanation:
y-y=m(x-x)
y-3=2(x-1)
y-3=2x-2
y=2x-2+3
y=2x+1
B) Write 11= 10+1 and expand.
C) Write 11= 3+3+2 and expand.
D)Write 11= 4+4+3 and expand.
The formula for binomial theorem is
Now this shall be very easy if the value of a = 1
The formula shall become
Which shall be
So to find 11^4
We must break it as 1 + 10.
Option B) is the right answer.