Answers
Answer:
[tex]5\sqrt{3}[/tex] or 8.66
Step-by-step explanation:
use tan:
tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 60 = [tex]\frac{x}{5}[/tex]
tan of 60 is 1.73
⇒ 1.732 = [tex]\frac{x}{5}[/tex]
multiply 5 on both sides
⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5
⇒ 8.66
Answer:
[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]
Step-by-step explanation:
Remember the 3 main trigonometric ratios:
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.
[tex]tan \theta= \frac {opposite}{adjacent}[/tex]
[tex]tan60=\frac {x}{5}[/tex]
Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.
[tex]5(tan60)=\frac {x}{5} *5[/tex]
[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]
If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.
[tex]8.66 \approx x[/tex]
x is about 8.66 or 5√3, which is choice D.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
The missing coordinate [tex]r[/tex] is 9.
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Answers
Step-by-step explanation:
hence the value of y=-9/4and k=-16.