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2 years ago

Pre calculus law of sines

Mathematics

1 answer:

lakkis [162]2 years ago

6 0

Answer:

AB = 6.5

Step-by-step explanation:

C = 59°

AC = 7

CD = 6

AB = ?

Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)

AB² = 7² + 6² - 2(7)(6)*Cos(59)

AB² = 85 - 43.26

AB² = 41.74

AB = √41.74

AB = 6.5 (nearest tenth)

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a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops

AURORKA [14]

Answer:

The ball will roll upto 1 m.

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

$P.E=m\cdot g\cdot h$

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

$\Rightarrow 10=1\times 10\times h$

$\Rightarrow 10=10 h$

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7 0

2 years ago

Solve for y in terms of x -8x + 4y = -16

solniwko [45]

Answer:

y=2x-4

Step-by-step explanation:

well first you have to move the -8x to the other side where the -16 is. by doing so, the -8x will turn into a POSTIVE 8x. than your problem should look like (4y=8x-16). now that your problem is like that, you want "y" to be alone. so, you divide the 4 by every number. (so you would do 4y/4, 8x/4, and -16/4). than your final product would be: y=2x-4

4 0

3 years ago

Read 2 more answers

If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))

4vir4ik [10]

Answer:

Step-by-step explanation:

g(f(x)) = g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

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2 years ago