You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
If they are supplementary then 3x + 17x = 180
20x = 180
x = 9
m<GHI = 27 degrees
m < LMN = 153 degrees
Answer:
2.5 hours
Step-by-step explanation:
Given that :
Temperature in Neil's city :
72.6° and rising by 1.3° per hour
Temperature in Sheppard's city :
80.4° and dropping by 1.82° per hour
In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city
Let number of hours = h
Hence, Neil city :
72.6 + 1.3h
Sheppard city:
80.4 - 1.82h
72.6 + 1.3h ≥ 80.4 - 1.82h
1.3h + 1.82h ≥ 80.4 - 72.6
3.12h ≥ 7.8
h ≥ 2.5
Two and half hours (2 hours 30 minutes)
Answer:
64 hope it helps
Step-by-step explanation:
Answer:
x^2 + 4y^2 + 6x + 4
Step-by-step explanation:
Arranging the terms;
x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 6x + 2 + 2
x^2 + 4y^2 + 6x + 4