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3 years ago

How do I write 2sin(0.6)cos(0.6) in one trigonometric function

1 answer:

4 0

<span>sin(2x)= 2sin(x)cos(x)

can you finish the rest or need more help?

sin(6/5) should be the answer

so we have 2 sin(0.6)cos(0.6)

we know its sin (2x) identity
x=0.6
so its sin(2*0.6)</span>

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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

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3 years ago

What is the percent increase of 24 to 32?

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2 years ago

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I have 28 cubes. how many ten and ones i can make?

Alexandra [31]

2 tens, and 8 ones. I say this because 20 = 10 + 10 so, two tens. 8= 1+1+1+1+1+1+1+1 so, eight ones.

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3 years ago

There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple t

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56 ÷8=7

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3 years ago

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mr.rivera bought some erasers to give his students. on monday , mr.rivera gave out 22 erasers. on Tuesday, he gave out 39 earser

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Answer:

178 ERASERS

Step-by-step explanation:

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