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Cloud [144]
3 years ago
7

Solve x2 - x - 5/2 = 0 using the quadratic formula.

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

x= 1±\sqrt{11} over 2

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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil
wlad13 [49]
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>

<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>

Thus George and Carmen biked for 215 km and bussed for 135 km.
4 0
3 years ago
How many triangles can be constructed with angles measuring 10º, 80º, and 90º?
charle [14.2K]
C! 80 + 10 is 90, 90+90 is 180. There are 180 degrees in one triangle 
6 0
3 years ago
Read 2 more answers
39.96÷6 with explanation​
solmaris [256]

Answer:

39.96/6=6.66

Do the long division

39/6=6 R3

Step-by-step explanation:

8 0
3 years ago
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Represent the following sentence as an algebraic expression, where "a number" is the
Aneli [31]

Answer: 3 - x

Step-by-step explanation: With

Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.

5 0
3 years ago
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