We know, sum of all the angles in a triangle is equal to 180 degree
So, 90 + 2x + 3x = 180
5x = 180-90
x = 90/5
x = 18
∠ANB = 2x = 2(18) = 36
∠BNC = 3x = 3(18) = 54
Hope this helps!
Answer:
76.7 liters
Step-by-step explanation:
You have ...
C1×V1 = C2×V2
so ...
V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L
V2 ≈ 76.7 L
105 m = 2.5 h
x miles = 1 hour
You cross multiply since it's a proportion:
2.5 * x
105 * 1
=
2.5x = 105
Then you divide everything by 2.5
The answer is 42
Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.
Elio is right in assuming the relationship between the height and the hours it burns is proportional.
Find the unit rate
14 ÷ 8 = 1.75 cm/h
Divide
21 ÷ 1.75 = 12
You can set this up as an algebraic equation to check the answer.
If the candle is 21 cm tall, it will burn for 12 hours.
Hope this helped you! :)
