Answer:
X= -5
Step-by-step explanation:
y varies directly with x,
so y=kx
-34=k×2
k= -17
85= -17× X
X= -5
Answer:
Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.
Step-by-step explanation:
Let's convert each time to minutes:
3.2 hours = 192 minutes
80 minutes = 80 minutes
2 hr 20 min = 140 minutes
Next, let's find the least common multiple:
LCM(192, 80, 140) = 6720
So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:
Pump 1 = 6720 units / 192 minutes = 35 units/minute
Pump 2 = 6720 units / 80 minutes = 84 units/minute
Pump 3 = -6720 units / 140 minutes = -48 units/minute
Their combined speed is:
35 + 84 − 48 = 71 units/minute
So the time to fill the tank is:
6720 units / (71 units/minute) = 94.65 minutes
Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.
Answer:
86
Step-by-step explanation:
<u>Perimeter of WXY = WSY+WRX+XY</u>
<em>--> WSY = SY x 2</em>
--> WSY = 16 x 2 = 32
<em>Since it is an isosceles triangle, WRX = WSY</em>
--> WRX = 32
<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>
<em>--> Solve it using the cos theta rule</em>
--> Angle = Angle X = 70°
Hypotenuse = WRX = 32
Adjacent = WA = ?
<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>
Cos (70) = WA/32
WA = 10.9 rounded off to 11
--> WA=AY= 11
--> XY = WA + AY = 11+11 = 22
<em>--> Perimeter = WSY+WRX+XY</em>
Perimeter = 32+32+22
Perimeter = 86
Therefore, the perimeter of WXY is 86.
Answer:
m∠J = m∠Z = 46°
Step-by-step explanation:
m∠J = m∠Z = 46°
