Answer: Choice A) 4/5
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Work Shown:
cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5
The fact that sine is positive in quadrant 2 means that the result is positive.
The kangaroo's speed in feet per second is 58.67 feet per second
<h3>What was the kangaroo's speed in feet per second?</h3>
The speed is given as:
Speed = 40 mph
Rewrite properly as
Speed = 40 miles per hour
1 mile = 5280 feet
So, we have
Speed = 40 * 5280 feet per hour
Evaluate
Speed = 211200 feet per hour
1 hour = 3600 seconds
So, we have:
Speed = 211200 feet per 3600 seconds
Evaluate the quotient
Speed = 58.67 feet per seconds
Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds
Read more about speed at:
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<h2>
Answer:</h2>
<u>Distance = 360.55 m</u>
<u>Direction = North-East</u>
<h2>
Step-by-step explanation:</h2>
In the question,
The adventurous dog starts from O, say.
He moves 3 blocks East = 300 m
then,
2 blocks North = 200 m
1 block East = 100 m
1 block North = 100 m
2 blocks West = 200 m
So,
Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>
OE is given by,
In triangle OLE, using Pythagoras theorem,
<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>
Answer:
c=-2
Step-by-step explanation:
Answer:
d/c = 8
Step-by-step explanation:
f(x) = 5.4321×2^×
f(4) = 5.4321×2^4 = d
f(1) = 5.4321×2^1 = c
d/c = (5.4321×2^4)/(5.4321×2^1) = 2^3 = 8
