1 doZen = 12 so 12 *3 is 36 therefore Sara has 36 golf balls
Answers:
Perimeter = 58.5 centimeters
Area = 163.15 square centimeters
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Explanations:
To get the perimeter, you add up the three exterior (aka outer) sides. So you add up everything but the length measuring 13 cm, as this segment is not on the outside of the triangle. Imagine this is a parking lot and you want to put fencing around the outer sides. You won't build any fencing to run through the middle of the lot (assuming you don't want to subdivide)
So we add up 15.4, 18 and 25.1 to get 15.4+18+25.1 = 58.5 centimeters. The units stay at centimeters. We don't go to "square centimeters" like we do with the area below.
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To get the area of the largest triangle, we multiply the base and height, then divide by 2. The base is always perpendicular to the height
base = 25.1
height = 13
area = base*height/2 = 25.1*13/2 = 163.15 square cm
You write "square" before the "cm" to indicate the proper units for the area. Think of a 1 cm by 1 cm rectangle which has area of 1*1 = 1 square cm. This idea applies to triangles as well because we can subdivide the triangle into smaller squares, or you can move one piece of a triangle to another side to reshape the figure into a rectangle.
Answer:
#5
Area = Area of bigger triangle - Area of small triangle
#8
Area = area of square + area of two right angled triangles
<span>The integral of (x^2 + 6x)dx is 1/3x^3 + 3x^2 + c.
Because this is not an integration with specific bounds, you must include a constant at the end.
In general, to integrate, add 1 to the exponent of x and then whatever number is the exponent of x, divided the number in front of x by that.</span>
For this case we have the following system of equations:
Equating the values of y we have:
From here, we can clear the value of x.
We have then:
Then, we look for the value of y.
For this, we substitute x in any of the equations:
Answer:
The ordered pair solution of the system of equations, is given by:
