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3 years ago

Find X (30,60,90) need help asap asap

Mathematics

1 answer:

Shtirlitz [24]3 years ago

3 0

Answer:

The correct answer will be X = 4

Step-by-step explanation:

Using Pythagoras

AB^2 + BC^2 = AC^2

2^2 + (2√3)^2 = AC^2

4 + (4*3) = AC^2

4+12 = AC ^ 2

AC ^2 = 16

AC = √16 = 4

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Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

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3 years ago

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

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3 years ago

Who does cos 60 degrees compare to cos -60 degrees

Neporo4naja [7]

Hello :
cos60 = cos(-60)=0.5

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3 years ago

There are 24 adults and 30 children at a science museum

vovikov84 [41]

Okay so let’s start by figuring what the total number of people is. To get that we add 24 and 30.
24+30= 54
So we have a total of 54 people.
Now, how many children are there?
30 children... which means the ratio is 30:54

Thirty children to fifty four people total at the museum.

Hope this helps!
Contact me if you have any more questions or concerns.

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3 years ago

At the peak of a roller coaster ride, the rider's watch flew off his wrist. The height h in feet of the watch, t seconds after h

defon

Answer:

$3 \: s$

Step-by-step explanation:

$y = - 16 {x}^{2} + 32x + 48 \\ 0 = \frac{ - 16 {x}^{2} + 32x + 48 }{ - 16} \\0 = {x}^{2} - 2x - 3 \\ 0= {x}^{2} - 3x + x - 3 \\ 0= x(x - 3) + 1(x - 3) \\0 = (x + 1)(x - 3) \\ \\ x + 1 = 0 \\ x = - 1 \\ x - 3 = 0 \\ x = 3$

Hope this helps you.

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6 0

3 years ago

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