Given:
Perimeter = 18 m
The formula for the perimeter of a rectangle is:
Where:
l = lenght
w = width
In this case, we have that:
l = 2w
Therefore, we substitute the values in the formula:
And solve for w:
For the length:
Answer:
The width is 3 m
The length is 6 m
Answer:
P(green or orange) = 4/7
Step-by-step explanation:
We need to know how many tennis balls there are
total = 15 yellow+ 5 orange+ 15 green
= 35 balls
Probability of green or orange tennis ball is the sum of the green and orange tennis balls over the total balls
P(green or orange) = (green + orange)/total
= (15+5)/35
=20/35
=4/7
Move point b one unit down and move point a one unit up
If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency. This means that ΔPRQ would be a right triangle. We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:
This gives us
Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have
x = (-18+30)/2 = 12/2 = 6.
Answer:
4.5
Step-by-step explanation:
9.5-5=4.5
.........
