Answer:
you need to substitute values on the next form of resolving this problem as follows...
A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?
please explain the method of unit conversions as thoroughly as possible.
Solution:
The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min
The hut tub volume is 300 Gallons
You can set up this problem as follows:
Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?
3.2 g 1min
300 g ? min = (300 gallons x 1min/ 3.2 gallons)=(300/32)min
= 93.75 min
or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)
such that T=V/R= (300g/3.2 g/min)= 93.75 min
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Answer:
x = -10
Angle 2 = 49°
Angle 3 = 49°
Step-by-step explanation:
In the given figure, it's an isosceles triangle
so, angle 2 = angle 3
( since their opposite sides are equal )
now,
in the given triangle,
=》Angle 2 + Angle 3 + 82° = 180°
( sum of all interior angles of the triangle = 180° )
=》Angle 2 + Angle 3 = 180° - 82
=》Angle 2 + Angle 3 = 98°
=》2 × Angle 2 = 98°
( since, angle 2 = angle 3 )
=》Angle 2 = 98° / 2
=》Angle 2 = 49°
so, Angle 2 = 49° = Angle 3
now,
Angle 2 = x + 59
=》49 = x + 59
=》x = 49 - 59
=》x = -10
Answer:
20
Step-by-step explanation:
3/4=15/x
4/3=x/15
4/3*15=x
X=20
The ones that match are
1 and 5
2 and 6
7 and 3
8 and 4
