Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is
, then the proportion of their area is
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:




Take positive square root as length cannot be negative:


Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
33
Step-by-step explanation:
The answer is 33 since it is the number that is most repeated.
That is was the mode is.
Answer:
Step-by-step explanation:
A right triangle has a right angle in it. The base and height are then the sides that make the right angle. You can change the 2.5 to a fraction 5/2 or leave it a decimal and just use your calculator. Once the base and height are drawn, you don't have to calculate the hypotenuse (the longest side) just connect the third side. See image. Also, def do this on graph paper it's easier. The new triangle should be bigger than the original this time bc 2.5 is bigger than 1 and so it makes your shape bigger.
To determine the equivalent ratios, we would reduce each ratio to its lowest term. This involves dividing by a common factor till it is no longer divisible. Therefore,