Answer:
66.67% or 2/3
Step-by-step explanation:
He put 1/3 of his sports books on the shelf. Ignore the 1/4 and focus on how much space the sports books are not taking up which would be 1-1/3=2/3 or 66.67%.
Th answer is 5 because 31% of 15 is 4.65
Answer:
Step-by-step explanation:
11) strategy: since they tell us. indirectly, that the length of JK is the same as LM then we can set those two equal, solve for X and then.. when we have X we can figure out the lenght of JK and LM and then just divide that by 2 go get PK ( :0 Player Killer ??? no , not that PK)
solve JK and LM
3x + 23 =9x-19
42 = 6x
7 = x
now that we know x = 7 plug it into either equation to come up with the length of JK or LM . I'll pick JK just b/c it was 1st
3(7) + 23 = JK
21+23 = JK
44 = JK
now take half of 1/2*JK= 22 that is PK ( are you sure that 's not player killer?)
PK = 22
12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB
9x-20 = 5x + 28
4x = 48
X = 12
9(12) -20 = BG
88 = BG
2*88 + AB
176 = AB
13) done
14) strategy: find the angle at L, and that will also be the arc of MK
<em>copy and past the below</em> helpful trig functions into your computer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
<em>copy and past the above</em> :
use which ever trig function you want , we have all the sides of the triangle, I'll use CAH
Cos(Ф) = 9/15
Ф = arcCos(9/15)
Ф = 53.13010°
arc MK = 53.13010°
15) strategy: arc JK is just 2 times MK
2*MK = 106.26020°
arc MK = 106.26020°
16) find arc JPK strategy: JPK is just the remaining part of a full circle of 360 - MK = 253.7397°
arc JPK = 253.7397°
I'm guessing it is 18. 18 decreased by nine equals nine so to me it makes sense.
The width of the blue purse that is similar to the red purse is approximately 50.6 cm.
<h3>How to Determine the Linear Measurement and Volume of Similar Solids?</h3>
If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:
Volume of solid A/volume of solid B = a³/b³.
We are given two purses that are similar to each other:
Volume of Blue purse = 837 cm³
Volume of Red purse = 248 cm³
Width of Red purse = 15 cm
Let width of Blue purse be = x
Therefore we would have the following ratio:
Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³
Plug in the values
837/248 = x/15
Cross multiply
(248)(x) = (837)(15)
248x = 112,555
Divide both sides by 248
248x/248 = 112,555/248
x = 50.6 cm
The width of the blue purse is approximately 50.6 cm.
Learn more about volume of similar solids on:
brainly.com/question/16599646
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