The area of one of the triangular lateral faces is
You're told that the slant height, which is the same as the height of the triangular face, is 9.8, so you have
where
is the length of the base of the triangle, which is also the same as the side length of the base of the pyramid. So
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.
n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.
n (n - 5) = 84
n^2 - 5n = 84
Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.
<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84
The answer is C = 12
When it comes to finding the area of spaces, you must determine its shape. In this case, the shape of the pool is a square. From there, we will use the formula to find the area of a square.
Area = (side)^2
Since the square of the square's side is its total area, then if vice versa, we have to find the square root of the area to find the length. Thus,
Length = √150 = 5√6 = 12.25 ft
Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
