Hey there!
Your answer is C.
If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.
12 x 1/4 = 3
4 x 1/4 = 1
So, the legs of our new triangle have lengths of 1 and 3.
We can see that option C has the correct triangle in red.
If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.
The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.
The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.
These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.
Hope this helps!
The domain and range is [-4, 4] and [0, 4]
<h3 /><h3>What is Domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
Learn more about domain and range here:
brainly.com/question/12751831
#SPJ1
Answer:
Total surface area of the rectangular prism is 150.88 cm^2
Step-by-step explanation:
area of base = area of top
area of base = 5 x 3.1 = 15.5 cm^2
Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is
=3.1 x 7.4 = 22.94 cm^2
Area of big lateral surface having dimensions 5 cm x 7.4 cm is
=5 x 7.4 = 37 cm^2
Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2
total surface area of the rectangular prism is 150.88 cm^2
Hey!
The answer is option c).
√9 is a rational number as √9 = 3..
while √10 is an irrational number..
Hope it helps^^
