Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
If your asking to select all that apply,
The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.
ABC,BAD,DCB
32.5 degrees is the answer
Hello from MrBillDoesMath!
Answer:
1.5, 1.6
Discussion:
The question is how to interpret 5/10 * 3. Both multiplication and division have the same precedence but we proceed from left to right (doing the divison first)
5/10 * 3 = (5/10) * 3 = (1/2)* 3 = 3/2 = 1.5
Same approach for the second equation:
4/10 * 4 = (4/10) * 4 = 16/10 = 8/5 = 1.6
Thank you,
MrB
2016 - 1921 = 95
Hope this helped!
