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Paraphin [41]
3 years ago
11

Determine the value of x.​

Mathematics
2 answers:
Westkost [7]3 years ago
8 0

Answer:

x = 4.59

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 74 = 16/ x

x tan 74 = 16

x = 16/ tan 74

x=4.58792

coldgirl [10]3 years ago
6 0

\huge\text{Hey there!}

\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan }  \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}

\boxed{\huge\text{\boxed{\mathsf{\bold{tan\  74} = \dfrac{16}{x}}}}}

\boxed{\boxed{\huge\textsf{x tan 74  equals \bf 16}}}

\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}

\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}

\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\  or \ 4.58 \ is \approx  \underline{\underline{4.59}}}}}}\huge\checkmark

\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark

\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}

~\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}

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The other choices are false, so choice C is the only solution here.

==================================================

Explanation:

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The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

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The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

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Step-by-step explanation:

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