Answer:
No. The amounts of change are the same, but the original amounts are different.
Answer:
-5.238
Step-by-step explanation:
<u>Step 1: First multiply</u>
1.567 + 2.345 - 1.83(5)
<em>1.567 + 2.345 - 9.15</em>
<em />
<u>Step 2: Add the first two numbers</u>
(1.567 + 2.345) - 9.15
<em>3.912 - 9.15</em>
<em />
<u>Step 3: Add the next two numbers</u>
3.912 - 9.15
<em>-5.238</em>
<em />
Answer: -5.238
Answer:
A, D
Step-by-step explanation:
The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...
(independent variable, dependent variable) = (cans, balls)
Then the point (2, 6) corresponds to (2 cans, 6 balls).
The applicable descriptive statements are ...
A. 2 cans contain 6 tennis balls
D. There are 6 tennis balls in 2 cans
Answer:25sqrt3-25pi/3
Step-by-step explanation:
Assuming the triangle is equilateral, we clearly need to find the radius of the circle, and subtract from the entire area of the triangle.
First, the area of an equilaterail triangle is given by the formula s^2 *sqrt3/4.
Next, the connect the center of the radius to points of tangency. Note this bisects the angle of the equilateral triangle into a 30 degree angle, and connecting radii to points of tangency forms a 90 degree angle, so this is a 30-60-90 triangle. This bisects the side length of the triangle, and the ratio of sides of a 30-60-90. Set this length as x. Thus, we have 4x^2=x^2+25, so 3x^2 =25. Dividing both sides by 3, we get x^2=25/3. Note that we only need x^2, as the formula is x^2 * pi. Hence, the area of the shaded region is 25sqrt3-25pi/3.
Answer:
41 sqrt(3)
Step-by-step explanation:
7 sqrt(27) + 5 sqrt(48)
7 sqrt(9*3) + 5 sqrt(16*3)
We know that sqrt(ab) = sqrt(a) * sqrt(b)
7 sqrt(9)sqrt(3) + 5sqrt(16) sqrt(3)
7 * 3 sqrt(3) + 5 *4 sqrt(3)
21 sqrt(3) + 20 sqrt(3)
41 sqrt(3)
