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3 years ago

The second step in the process for factoring the trinomial o2 5x 36 is to

1 answer:

3 0

I would have to sy that the factor of the thm. should be the factors of 36, and then test each value to see the results in 0

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If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds

Elena L [17]

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

$x(t) = (v_0\cos{\alpha})t$

$y(t) = (v_0\sin{\alpha})t - 16t^2$

In which $v_0$ is the initial speed and $\alpha$ is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that $v_0 = 2048, \alpha = 30$ .

$x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t$

$y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2$

(a) After how many seconds will the bullet hit the ground?

It hits the ground when $y(t) = 0$ . So

$1024t - 16t^2 = 0$

$16t^2 - 1024t = 0$

$16t(t - 64) = 0$

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

$x(64) = 1773.62(64) = 113511.7$

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

$y^{\prime}(t) = 1024 - 32t$

$1024 - 32t = 0$

$32t = 1024$

$t = \frac{1024}{32} = 32$

At this instant, the height is:

$y(32) = 1024(32) - 16(32)^2 = 16384$

The maximum height attained by the bullet is of 16,384 feet.

7 0

3 years ago

What is the value of s?<br> ____ units

yulyashka [42]

Answer:

s = 17

Step-by-step explanation:

a^2+b^2=c^2

a=8, b=15, c=s

64+225=c^2

289 =c^2

c= 17

7 0

3 years ago

Read 2 more answers

A rectangular area of 2,000 square feet is to be fenced on three sides with fence costing $0.30 per foot and on the fourth side

algol [13]

2000 = x * y
y = 2000 / x

c = 0.3 * (2y + x) + 0.5x = 0.6y + 0.8x = 0.6 * 2000 / x + 0.8x = 1200/x + 0.8x

4 0

3 years ago

Read 2 more answers

Robert gets a lone from his bank. he agrees to borrow £6000 at a fixed annual simple interest rate of 7%. He also agrees to pay

Natali5045456 [20]

Answer:

£10200

Step-by-step explanation:

£6000x7%= £420

£420x10= £4200

£6000+£4200= £10200

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4 years ago

Write the slope intercept form of the equation of the line through (0,4) and (-1,2)

Ilya [14]

Answer:

"y = 0.8x − 1" I think

Step-by-step explanation:

4 0

3 years ago