Please give the correct answer and explain im really trying to learn this so I need the explanation not just an answer. Thankyou
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1 answer:
Answer:
x = tan⁻¹(⅘)
Step-by-step explanation:
We can solve for x by using trigonometric ratios (sin, cos, and tan)
We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)
The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write
tan(x) = ⁸⁄₁₀
Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)
tan(x) = ⅘
x = tan⁻¹(⅘)
Then we can use a calculator to evaluate x
If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.
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Answer: 2.5
Step-by-step explanation:
Solve the numerator first.
We are left with:
To be able to work this out, we must convert the fraction to a decimal.
To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.
6+(1/4)
6+(0.25)
6+0.25
6.25
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Now, we know that this is a positive outcome because we have 2 negatives dividing.
6.25/2.5
To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.
6.25*100/2.5*100
625/250
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Let's solve this.
625/250=2.5
500
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125'0
1250
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