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Dvinal [7]
2 years ago
7

Please help me answer this!

Mathematics
1 answer:
Tomtit [17]2 years ago
5 0

Answer:

<em>x = 3</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}

Solving for x:

\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}

Since:

\tan 60^\circ=\sqrt{3}:

\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}

Simplifying:

x = 3

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Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr
Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

240 = 12x +8y

<em>Required (missing part of the question):</em>

<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>

 

<em>The graph is missing. However, the question can be solved without the graph.</em>

<em />

From the question and equation, we can deduce the following:

  • x represents adults
  • y represents children

So, when 8 adult tickets were sold.

This means

x = 8

Substitute 8 for x in 240 = 12x +8y

240= 12 * 8 + 8y

240= 96+ 8y

Subtract 96 from both sides

240 - 96 = 96 - 96 + 8y

144 =  8y

8y = 144

Solve for y

y= \frac{144}{8}

y= 18

<em>This means that 18 children will be able to go</em>

5 0
2 years ago
Find the sum of the first 50 terms.<br> 10-2/11n
Alexus [3.1K]

Answer:

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yw :D

6 0
2 years ago
I NEED HELP ASAP!!!
Dahasolnce [82]

Answer:

a. The constant = 45

b. The unit rate is 45 miles per hour

c. d = 45t

Step-by-step explanation:

a. ∵ d ∝ t

∴ d = kt

∵ d = 90 at t = 2

∴ 90 = k(2)

∴ k = 90 ÷ 2 = 45

∴ The constant of proportionality is 45

b. ∵ k = d(miles) ÷ t(hours) = 45

∴ The unit rate is 45 miles per hour

c. The equation is ⇒ d = 45t

3 0
3 years ago
If x is a positive integer, then x is _____ negative.
faltersainse [42]
A. never

because you are limiting x from 0 to infinite, and all of these are positive.
3 0
2 years ago
Which point does NOT lie on the graph of the line x + 2y = 9?
Soloha48 [4]

Answer:

b (2, -1) is your answer for this question

5 0
2 years ago
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