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Lisa [10]
1 year ago
8

Another question! Solve the equation 12 - 2(3H) = -18 for H

Mathematics
1 answer:
FromTheMoon [43]1 year ago
8 0

Answer:

H is gonna be equivalent to 5

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Gavyn and Alex win some money and share it in the ratio 4:1. Gavyn gets £24 more than Alex. How much did Alex get?
Lesechka [4]

Answer:

6 pounds

Step-by-step explanation:

6 times 4 is 24. so it has to be 6 since you have 4

3 0
2 years ago
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A projectile is fired with initial speedv -100 feet per second from a height of h 0 feet atan angle of θ-7/6 above the horizonta
denpristay [2]

Answer:

Maximum altitude: 497.96 ft

Horizontal range: 1007.37 ft

Speed at impact:  165.21 ft/s

Step-by-step explanation:

angle(α) = atan (7/6) = 49.4°

Maximum altitude is given by the formula:

h=\frac{V_0^2sin^2\alpha }{2g}

h=\frac{100^2 sin^2(49.4)}{2*9.81} =\frac{9770}{19.62}=497.96 ft/s

Horizontal range is given by the formula:

X=\frac{V_0^2sin(2\alpha)}{g}

X=\frac{100^2sin(2*49.4)}{*9.81}=1007.37 ft

Speed at impact is given by the formula:

V_f=\sqrt{V_x^2 + Vy^2}

where:

V_x= V_0cos(\alpha )= 100cos(49.4)=65.07 ft/s

V_y=V_0sin(\alpha ) + gt=100sin(49.4)+9.81(t)

t=\frac{V_0sin(\alpha) }{g}=\frac{100sin(49.4)}{9.81}=7.74s

So;

V_y= 100sin(49.4)+(9.81)(7.74)= 151.86 ft/s

Vf=\sqrt{V_x^2 + V_y^2} =\sqrt{65.07^2+151.86^2}=165.21 ft/s

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