Answer:
Step-by-step explanation:
Given
Two sides of triangle of sides 5 ft and 7 ft
and angle between them is increasing at a rate of 0.9 radians per second
let
is the angle between them thus
Area of triangle when two sides and angle between them is given


Differentiate w.r.t time

at 


Answer:
18 square centimeters
Step-by-step explanation:
To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.
Population of the state of New York is 19.65 million.
Million is equal to 1*10^6
So 19.65*10^6
Population of New York city is 8,406,000.
It is equal to 8.406*10^6
Therefore people in New York state did not in New York city is,
19.65*10^6 - 8.406*10^6
11.244*10^6
1.1244*10^7
Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°