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Math 1351 Test 3

Terms in this set (26)

Formula area of a circle
A=πr²
circumfrence of a circle formula
2πr or πd
Anya wants to draw many different rectangles that have a perimeter of 20 cm. Anya draws a few rectangles, but then she stops drawing and starts looking for pairs of numbers that add to 10.
Why does it make sense for Anya to look for pairs of numbers that add to 10?
First, we knew 10 is half the perimeter. Then we found pairs of ten and each pair represents 2 sides. Lastly Anya found pairs of ten to find more rectangles with a perimeter of 20.
What's the name of the shape that will have the largest area for the given perimeter?
Circle
Is it possible that the area of the forest to be larger than the largest area?
No
What's the name of the shape that will have the largest area for the given perimeter if we know the forest is shaped like a rectangle?
Square
If the forest is shaped like a rectangle, then is it possible that the area of the forest is less than the original shape?
Yes
Area of a rectangle
A=lw
Bubba the goat is tied to a rope that is 20 feet long. The rope is connected to Bubba's collar that is 2 feet tall. Mr. Fields connects the opposite end of the rope to a fence that is 5-feet tall. Find the horizontal distance Bubba can graze from the fence.
Round your answer to the tenths place
First we plugged the numbers in using the Pythagorean theorem 3^2+?=20^2. Next I solved the numbers that were there 3^2=9 and 20^2 =400 b^2 is still a question mark. We need to find the question mark^2 by itself by subtracting 9 to get 391. Last, we square rooted the question mark and the nine and got 19.8 to get our last side.
Explain how to find the area by using the Moving and Additivity Principles and only the area formula for rectangles. State the principle used within your explanation.
First, I found the area of the large square which is lxw=25 squared units. Next, using the moving and additivity principle we found the area of the purple part which I made a rectangle and got 12 squared units for both. Last, I subtract the large square from the purple to get 13 square units.
Draw an isosceles triangle having two side lengths of 9 cm and a third side that is 6 cm. To find the area of the triangle, we must find the height of the triangle. Use the side = 6 cm as the base to find the height of the triangle using the Pythagorean Theorem.
First I split the triangle to find the height and make the triangle a right triangle. Next I plugged the numbers into the Pythagorean theorem 3^2+?^2=9^2. After that i squared both my side lengths and got 9+?^2=81. Next I square rooted the ? and 81 and got 8.5cm
pentagonal prism
Choose the best name for the solid.
Cone
Identify the shape
What is a vertices?
Anywhere on the shape where the corners meet or a sharp point.
What is a face in a prism?
Any flat part
What is a base?
Base is consistent all the way through the figure.
What is an edge on a prism?
Where 2 faces meet to make a line.
What characteristics does a prism have?
Rectangular faces
What characteristics does a pyramid have?
Triangular faces
explain how to find the total amount of metal sheeting to make the entire can by using the dimensions of the label and the additivity principle for area.
There are no results for Using the dimension of the label which is 11.78 inches x 3 1/2 = 41.23. Next find the area of the base the base is a circle so you would use pi r squared. Diameter is doubled the radius, so to find the radius you would use 3 3/4 or 3.75 and divide that by 2 which is 1.875 and plug it into your circle formula. 3.14 1.875 doubled and you get 11.78. Next find the area of the base 3.14 x 1.875 squared which is 11.04 since there are 2 bases you double it and get 22.08 square inches you add the label plus the bases and get 63.31 square inches.
Compare (mathematical) reflection (Section 14.1) and reflection symmetry.
Mathematical symmetry is like a tree on a mountain reflecting into a nearby lake. Reflection symmetry is folding an object in half, and it matching perfectly. Both terms involve reflecting a shape and seeing if it would fit perfectly together.
What is 4-fold rotational symmetry?
Divide by 360, how many times can you rotate it and it look the same on all sides.
What is 2-fold rotational symmetry?
Divide by 180, how many times can you rotate it and it look the same on all sides.
What is # lines reflective symmetry?
Lines matching up on both sides.
Fold rotation
Never reflective rotation
Will there ever be lines of rotation?
No
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