Answer:
Look in explanation
Step-by-step explanation:
I will assume that you're trying to solve for "x".
For number 1: 49+(5x+1) is a supplementary angle(180 degrees) so you can subtract 180-49 to get 131.
Now, 131 = 5x+1
-1 -1
130 = 5x
/5 /5
Now, we isolate the x to get x=26.
Number 2: There is a supplementary angle as well so we can put 5x+12+6x+3=180.
Now, combine the like terms to get 11x+15=180 so we now isolate x.
-15 -15
11x=165
/11 /11
x=15
Now, try the rest and set the terms to 180.
5x+1+8+4x=180
2x+1+x-10=180
6+x+5x=180
x+2+153=180(This is similar to #1)
CHECK YOU ANSWERS BELOW AFTER YOU HAVE ATTEMPED THE REST OF THE PROBLEMS.
3. x=19
4. x=63
5. x=29
6. x=25
Ok so for number 5, AB is proportional to BC just like PQ is proportional to QR. AB = 9, BC = 15, PQ = 3, and QR = x. 9/15 = 3/x. Cross Multiply: This gives you - 9x = 45. Divide both sides by 9, and you get x = 5. QR = 5
Answer: 30
Step-by-step explanation:
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
2008 payan walang yan ha kaya mo yan
