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3 years ago

Find the value of x.

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

8.57 i used the google calculator

kvv77 [185]3 years ago

8 0

Use the rule: SOHCAHTOA

In this case,
x = opposite angle, becuase it is opposite the angle given.
The given angle is the longest, meaning it is the Hypotenuse
With this information, we can determine what rule we could apply. Since we have opposite and hypotenuse given, we can use S = O/H.

Given that there is an angle involved we would have to adapt our rule a little bit. So in more simplier form, we will have to use the inverse sign rule. Before working this equation out, you need to identify each given information.
Thus,
X = O
14 = H
∡60 = θ (delta)
Using the equation;
60° = x/14
Making x the subject, because we need to fine it's value.
x = sin ⁻¹(14/60°)
x = 0.24u (U standing for Units)
Ok you should check my working again, because I feel this is incorrect. I must have missed something, or used something incorrectly. Please recheck my answer, there may be a fault.

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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

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

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

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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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Step-by-step explanation:

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tatiyna

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

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∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

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