Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer:
3 and a half hours
Step-by-step explanation:
y=mx+b
$30.50=$8x+$2.50
$30.50-$2.50=$8x+$2.50-$2.50
$28=$8x
$28/$8=$8x/$8
x=3.5 hours
Answer:
<h2>
The intensity in decibel is 320 decibel </h2>
Step-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation where;
I is the intensity of a given sound and
is the threshold of hearing intensity
To get I(dB) when
We will substitute the value of I = into the equation above to have;
Since log10 = 1;
The intensity in decibel is 320 decibel
<span>P (E intersect F) refers to the probability of both events E and F happening at the same time. But since we are told that the events are mutually exclusive, it means that they cannot both occur simultaneously.
Therefore P (E intersect F) = 0</span>