Work out the diameter of a circle with area = 9 cm?
1 answer:
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The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Step-by-step explanation:
Let,
The longer leg = x
The shorter leg = x-7
Hypotenuse = x+7
Using Pythagoras theorem;
Either,
x= 0
Or,
x-28=0 =>x=28
As length cannot be zero, therefore,
Longer side = 28cm
Shorter side = x-7 = 28-7 = 21cm
Hypotenuse = x+7 = 28+7 = 35cm
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Keywords: triangle, pythagoras theorem
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Votes received by Wayne is 112
<em><u>Solution:</u></em>
To find: votes received by Wayne
Let the vote received by Wayne be "x"
<em><u>Juan received 4 times as many votes as Wayne</u></em>
Therefore,
Juan votes = 4 times as many votes as Wayne
Juan votes = 4x ---- eqn 1
<em><u>Neal received twenty less votes than Juan</u></em>
Neal votes = twenty less votes than Juan
Neal votes = Juan votes - 20
Neal votes = 4x - 20 ---- eqn 2
<em><u>Kerry got half as many votes as Neal</u></em>
Kerry votes = half of neal votes
Kerry votes = ---- eqn 3
The total votes cast in the election was 1,202
Wayne votes + Juan votes + Neal votes + Kerry votes = 1202
Plug in eqn 1 , eqn 2, eqn 3
Therefore votes received by Wayne is 112
So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
so
=
2*2*3*
=
12√7
the answer is B
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
2*2*3*
12√7
the answer is B