Answer:
let x be the Robert piece
y Maria's piece
x+y=10
0,5*x ( half of Robert piece)= 2/3 y( 2 thirds)
2 equations then
x+y= 10 then x= 10-y
0,5x= 0,67 y then we replace x by 10-y on the second equation and it gives
0,5(10-y)= 5-0,5y=0,67y
5= 1,17 y so y= 4,27 and then x= 10-y= 5,73
the question asks how much Robert wire is longer than Maria's wire
so we get x-y= 1,46
Answer:
True.
Explanation:
We take the analogy from the graph of y = ax^2
When y = x^2, the parabola opens upward (towards the positive y-axis). However, when the parabola is y = -x^2, it opens downward (towards the negative y-axis).
In a similar way, when we have x = ay^2, the parabola opens towards the positive x-axis ( towards the right). However, if we have x = -ay^2, then the parabola opens towards the negative x-axis ( towards the left).
Therefore, by comparison, x = - 1/8 y^2, opens to the left, and the correct option to choose is 'True'.
I believe it would be 100 because the 9 in 99 would be the rounding spot and if you look to the right of it its another 9 which is greater than five so that would round up to 100
Answer:
Part 1) The exact value of the arc length is 
Part 2) The approximate value of the arc length is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to

we have

substitute


step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion

step 3
Find the approximate value of the arc length
To find the approximate value, assume

substitute

Distributive property :
a (b+c) = ab + bc
Try writing 47 = 50-3 or 47 = 40+7.
11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 = 517
or
11 x 47 = 11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517