HURRY I NEED HELP QUICK!!!!!!!
1 answer:
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Consult the attached diagram.
In the larger triangle,
tan(16°) = (7250 ft) / (<em>x</em> + <em>y</em>)
and in the smaller triangle,
tan(26°) = (7250 ft) / <em>y</em>
You want to solve for <em>x</em>.
From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have
(<em>x</em> + <em>y</em>) tan(16°) = 7250
<em>x</em> tan(16°) + <em>y</em> tan(16°) = 7250
<em>x</em> tan(16°) = 7250 - <em>y</em> tan(16°)
<em>x</em> = 7250 cot(16°) - <em>y</em>
<em />
From the second equation,
<em>y</em> = 7250 cot(26°)
Solving for <em>x</em> gives
<em>x</em> = 7250 cot(16°) - 7250 cot(26°)
<em>x</em> = 7250 (cot(16°) - cot(26°))
<em>x</em> ≈ 10,433 ft
Answer:
120 students did Jada survey
Step-by-step explanation:
*<em> Lets explain how to solve the problem</em>
- The results of Jada survey are shown in this circle graph
# Communication tools Text messages 5/12
# Phone 1/5
# Emails 1/20
# Other messaging apps 1/3
- A total of 50 students said they favored text messages to
communicate with friends
- We need to find the total number of the students in Jada survey
- <em>Assume that the total number of the students in the survey is </em><em>x</em>
∵ The Communication tools Text messages expressed by a
fraction 5/12 of the circle graph
∵ The total of 50 students said they favored text messages to
communicate with friends
- That means The fraction of x equivalent to 50
∴
- Multiply both sides by 12
∴ 5x = 600
- Divide both sides by 5
∴ x = 120
∵ x represents the number of the students in Jada survey
∴ 120 students did Jada survey