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2 years ago

Is ×+4 a factor of p(×)=x^3 -4×^2-17×+60

Mathematics

1 answer:

Vitek1552 [10]2 years ago

8 0

Answer:

Yes, It is a factor

Step-by-step explanation:

Step 1: Plug in -4 to see if it is a factor

p(-4) = (-4)^3 - 4(-4)^2 - 17(-4) + 60

p(-4) = 0

Since it is 0, that means that it is a factor.

Answer: Yes, It is a factor

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if a tree casts an 8 meter shadow, and the angle from the ground to the tree is 30 degrees, what is the approximate height of th

Virty [35]

Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
$\tan(30) = \frac{h}{8} \\ h = 8 \tan(30) \\ h = 4.62$
The answer is A) 4.6 m

3 0

3 years ago

What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.

Svetllana [295]

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

$F = 10[v(21) - v(16)]$

Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:

$F = ma$

In this problem, mass of 50 kg, thus $m = 50$

Acceleration is change in velocity divided by change in time, that is:

$a = \frac{\Delta_v}{\Delta_t}$

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

$\Delta_t = 21 - 16 = 5$

$\Delta_v = v(21) - v(16)$

Thus, the force is given by:

$F = ma$

$F = m\frac{\Delta_v}{\Delta_t}$

$F = 50\frac{[v(21) - v(16)]}{5}$

$F = 10[v(21) - v(16)]$

A similar problem is given at brainly.com/question/18801986

7 0

2 years ago

Please help me fast

Sveta_85 [38]

Answer:

1.187991

Step-by-step explanation:

sin^2(225)−(cos(330))(cos(240))

=(−0.930095)2−(cos(330))(cos(240))

=0.865076−(cos(330))(cos(240))

=0.865076−−0.991199(cos(240))

=0.865076−(−0.991199)(0.325781)

=0.865076−(−0.322914)

=1.187991

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1 year ago

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Korvikt [17]

The perimeter is 62 miles

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3 years ago

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Schach [20]

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2 years ago