Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!
Hints on solving trigonometry problems:
If no diagram is given, draw one yourself.
Mark the right angles in the diagram.
Show the sizes of the other angles and the lengths of any lines that are known
Mark the angles or sides you have to calculate.
Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
Decide whether you will need Pythagorean theorem, sine, cosine or tangent.
Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.
How to use the tangent ratio to find missing sides or angles?
Example:
Use the Pythagorean theorem
<span>the hypotenuse is the ladder which is 20 ft and the base is 12 ft thus </span>
<span>a^2 + b^2 = c^2 </span>
<span>a^2 + 144 = 400 </span>
<span>a^2 = 256 </span>
<span>a = 16 </span>
<span>so its 16 ft</span><span />
You have to translate the statement into a mathematical expression...
Six times the number of cattle, if we let c be the number of cattle is:
6c
Less 87 means to subtract 87 so
6c-87
is 999 means
=999
so all together we have:
6c-87=999 now we need to isolate the variable by itself on one side of the equal sign....
6c-87=999 add 87 to both sides
6c=1086 divide both sides by 6
c=181
So there are 181 cattle.
