Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
C. II, III, and IV only
Step-by-step explanation:
Lol I haven't done one of these in a while, so thanks for the practice!
It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.
7.96 / 6 = 1.33 <== unit rate
Divide 18 to both sides and you get -12
Answer:
If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is
2x + 3y < 60
Step-by-step explanation:
