Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is 
Here, 

Hence, the scale factor for the resultant rectangle is
units.
Answer:
x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Step-by-step explanation:
Given the relation
- {(6, 8), (7, 10), (7, 12), (8, 16),
(10, 16)}
We know that a relation is a function that has only one output for any unique input.
As the inputs or x-values of the relations are:
at x = 6, y = 8
at x = 7, y = 10
at x = 7, y = 12
at x = 8, y = 16
at x = 10, y = 16
If we closely observe, we can check that there is a repetition of x values.
i.e. x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

Solving for h:

Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Answer:
See below
Step-by-step explanation:
When we talk about the function
, the domain and codomain are generally defaulted to be subsets of the Real set. Once
and
such that
for
. Therefore,
![\[\sqrt{\cdot}: \mathbb R_{\geq 0} \to \mathbb R_{\geq 0} \]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B%5Ccdot%7D%3A%20%5Cmathbb%20R_%7B%5Cgeq%200%7D%20%5Cto%20%5Cmathbb%20R_%7B%5Cgeq%200%7D%20%5C%5D)
![\[x \mapsto \sqrt{x}\]](https://tex.z-dn.net/?f=%5C%5Bx%20%5Cmapsto%20%5Csqrt%7Bx%7D%5C%5D)
But this table just shows the perfect square solutions.