Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
To calculate the midpoint,here's the formula : ((x1+x2)/2 , (y1+y2)/2)
thus, we have:
((10+(-4))/2 , (6+8)/2)
=(6/2 , 14/2)
=(3,7)
The coordinate for the midpoint is (3,7)
hope it helps!
Answer: Our required probability is 0.18.
Step-by-step explanation:
Since we have given that
Probability that husband is on the internet = 10% = 0.10
Probability that husband is not on the internet = 1-0.10 = 0.9
Probability that wife is on internet given that husband is on internet = 40% = 0.40
Probability that wife is on internet given that husband is not on internet = 20% = 0.20
Probability that wife is on internet is given by
So, Probability that the husband is also on internet given that wife is on internet is given by

Hence, our required probability is 0.18.
Answer:
x = 8
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x =
=
=
×
= 8
Answer:
27/18= 1.5
18/6 = 3
3•1.5= 4.5
Step-by-step explanation:
$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.