Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
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Have a nice day!
You should first write out the equations,
perimeter= 3/y-4+3/y-4+1/y+1/y, and the area is 3/y-4•1/y
then you can simplify it.
Answer: Ox=3,y=11 Ox
Step-by-step explanation:
Answer:
170
Step-by-step explanation:
The given relations can be used to write and solve an equation for the number of stickers Peter has.
<h3>Setup</h3>
Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).
The total number of stickers is 300:
p +p/2 +(p/2 -40) = 300
<h3>Solution</h3>
2p = 340 . . . . . . . . . . . . . . add 40, collect terms
p = 170 . . . . . . . . . . . divide by 2
Peter has 170 stickers.
__
<em>Additional comment</em>
Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.
We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.
p +j +e = 300
p -2j +0e = 0
0p +j -e = 40
Answer:
A. 41
B. 1,590
C. .1
Step-by-step explanation:
A.
the equation is l*w=A
9.2*4.5=A
41.4=A
rounded it would be 41
B.
the equation is pi*r^2=A
3.14*22.5^2=A
3.14*506.25=A
1,589.6=A
^round this up to get 1,590
C.
what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)
.5*.2/2=A
.1/2=A
.05=A
.05+.05=0.1
