Correct answer is Option A: 18/48 = 21/56
You’ll have to divide the numerator by the denominator of each fraction to see whether they have the same quotient:
18/48 = 0.375
21/56 = 0.375
The other options are not proportional.
B) 20/28 = 15/18:
20/28 = 0.714
15/18 = 0.833
Thus, 20/28 ≠ 15/18
C). 3/5 = 13/10
3/5 = 0.6
13/10 = 1.3
Hence, 3/5 ≠ 13/10
D) 7/10 = 10/7
7/10 = 0.7
10/7 = 1.43
Thus, 7/10 ≠ 10/7
These solutions prove that the correct answer is A) 18/48 = 21/56
Please mark my answers as the Briainliest if you find my explanations helpful :)
Answer:
(a) -∞ < x < ∞
Step-by-step explanation:
Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.
-∞ < x < ∞
Your triangle has acute angles X and Y, and right angle Z.
For an acute angle A in a right triangle:
The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp
The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.
The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.
For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.
Using the ratios mentioned above for sine and cosine, you get:
sin X = opp/hyp = sqrt(119)/12
cos X = adj/hyp = 5/12
The y intercept is 5, since slope is y=mx+b. The x intercept is at -2. If you have more problems like this there is an amazing calculator that graphs equations like this for you. www.symbolab.com. Hope this helps!
