The best approximation would be $6.12
Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 <em>(</em><em>expand</em><em>)</em>
W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
Answer:
x=27
Step-by-step explanation:
3x+9 is a right angle because 3x+9 + a right angle make a straight line
3x+9 +90 = 180
Subtract 90 from each side
3x+9 = 90
We now can solve for x
3x+9-9 = 90-9
3x = 81
Divide each side by 3
3x/3 = 81/3
x=27
The volume of a cylinder is V=πr^2*h.
The volume of this cylinder is V=π(7)^2*12, which it V=588π.
Answer:
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
Step-by-step explanation:
Given that a research report describing the results from a repeated-measures study states:
The data show no significant difference between the two treatments, t(10) = 1.65, p > .05.
Since t(10) is given, we can conclude that degrees of freedo is 10
Hence sample size is 10+1 =11
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
