The ladder forms the hypotenuse of a right triangle. Solve for a
<span>a^2 + b^2 = c^2 </span>
<span>a^2 + 9^2 = 18^2 </span>
<span>a^2 + 81 = 324 </span>
<span>a^2 = 243 </span>
<span>a = 15.589 = 15.6 feet</span>
Answer:
26.5 miles.
Step-by-step explanation:
Given: Time for running Boston Marathon= 2.12 h
Speed= 12.5 mph
Distance covered in Boston Marathon
Distance covered= speed x time
Distance covered = 12.5 x 2.12=26.5 miles
∴ Distance covered in the Boston Marathon is <u>26.5 miles.</u>
You have to divide both sides by 2/3, and by doing that you'll get w= -5/4
Being multiplied by 5 every time. Answers are a=250 b=1,250 c=6,250
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
