Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
![BC[sin(68.4)] = 646 [sin(18.6)]](https://tex.z-dn.net/?f=BC%5Bsin%2868.4%29%5D%20%3D%20646%20%5Bsin%2818.6%29%5D)
meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
Answer:
D
Step-by-step explanation:
Slope-intercept form is [ y = mx + b ] where m = slope and b = y-intercept. We are already given the slope and y-intercept so m = 2 and b = -4.
y = 2x - 4
Best of Luck!
Answer:
We know the x-intercept only
Explanation:
To answer this equation, we need to go through the options individually and use both points to determine if they are true or false.
• Option 1 - False
According to the the first point given, we know the x-intercept is (3, 0).
• Option 2 - True
We only know the x-intercept. It is (3, 0) which is the first point given. We do not know the y-intercept.
• Option 3 - False
We do not know the y-intercept. We only know the x-intercept. In order to know the y-intercept the second point given must include a zero as the x point. The second point give does not include a zero. It is (-1, -3).
• Option 4 - False
We do not know the y-intercept
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Answer: Choice B) Investment decreases by 3% each month
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Explanation:
We won't use the value 2500 at all.
The base of the exponential is 0.97
Set this equal to 1+r and solve for r
1+r = 0.97
r = 0.97-1
r = -0.03
The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.
Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.
