Answer:13.6 cm
Step-by-step explanation:
What is a rational number between -1/6 and -2/6
1 answer:
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Answer:
1/3, , π,
, 8
Step-by-step explanation:
Simplifying or rounding complicated numbers to integers can help us order them.
- Integer - an integer is any whole number, including zero, that can be negative or positive.
Simplifying Numbers
Numbers like 1/3 and 8 don't need to be simplified because they are commonly used and understood.
Both 4 and 16 are perfect squares. So, to simplify these numbers we can just solve.
= 2
= 4
There is no way to "solve" pi, but we can round it to an easier number. Technically, pi is irrational, so there is no way to write out the whole number. However, in this case, we can just round to the nearest whole number.
- π ≈ 3
This means, in the order they appear, the simplified numbers are 2, 8, 4, 1/3, and 3.
Ordering the Numbers
From this point, they should be easy to order.
- 1/3 is the smallest because it is the only number less than 1.
- π is third since it is only slightly above 3
- 8 is the largest number on the list.
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.
