Please help!!! I'll give brainliest, if you help U_U Tysm for the help xD
1 answer:
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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.
Answer:
quarts
Step-by-step explanation:
Total amount of drinks = +
You would want to make the denominators the same before adding them, so I will multiply the first fraction by 2 and the second one by 3 so their denominators are 6.
+
=
+
Now we can directly add them together while keeping the denominator the same.
+
=
quarts