Proportional relationships<span>: A </span>relationship<span> between two equal ratios. Proportions are the comparison of two equal ratios. Therefore, </span>proportionalrelationships<span> are </span>relationships<span> between two equal ratios. For example, oranges are sold in a bag of 5 for $2. The ratio of oranges to their cost is 5:2 or.</span><span>In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the coefficient of proportionality or proportionality constant.</span>
Ascending order means from lowest to highest, so to write these in ascending order.....
4.8 would be the lowest. Then, √26. This equals about 5.1.
Next would be 5.5. And finally, 2 + √22. √22 = about 4.6. 2 + 4.6 = 6.6
4.8 √26 5.5 2 + √22
There is your answer!
Using trigonometric relations, we will see that for the given right triangle:
sin(x°) = 3/5
cos(y°) = 3/5
<h3>
How to find the wanted values?</h3>
Remember that for a right triangle for any of the internal angles that are not 90°.
sin(a) = (opposite cathetus)/(hypotenuse)
cos(a) = (adjacent cathetus)/(hypotenuse).
In this case, the two cathetus measure 4 units and 3 units, so the hypotenuse measures:
Then for x°, the opposite cathetus measures 3 units, then we have:
sin(x°) = 3/5
And for y°, the adjacent cathetus also measures 3 units, so:
cos(y°) = 3/5
These are equal because both depend on the same cathetus of the right triangle.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer: the rate of the westbound train is 85 mph.
Step-by-step explanation:
Let x represent the rate of the westbound train. The westbound train travels 10 miles per hour slower than the eastbound train. It means that the rate of the eastbound train is (x + 10) mph.
The two trains leave the station at the same time. The total distance covered by both trains after 3 hours is 540 miles.
Distance = speed × time
Distance covered by the westbound train in 3 hours is 3x.
Distance covered by the eastbound train in 3 hours is 3(x + 10)
Therefore,
3x + 3(x + 10) = 540
3x + 3x + 30 = 540
6x = 540 - 30 = 510
x = 510/6 = 85 mph
