a) The image is a reduction because it is simply <em>smaller</em> than the original.
b) We can find the scale factor by finding the<em> ratio of the side length of the new triangle compared to the original one</em>.
MS = 6 - (-3) = 6 + 3 = <em>9 units</em>
M'S' = 4 - (-2) = 4 + 2 = <em>6 units</em>
(Easiest to calculate because they are horizontal lines)
6 : 9 = 2 : 3 = 2/3 = 2 to 3
The value of arccos(-√3/2) is 5π/6.
In the given question,
We have to find the value of .
The given term is .
We using the quadrant rule.
The value is in negative so we check in which quadrant the value of cos negative.
As we now that in second quadrant only the value of sine and cosine is positive and all value are negative.
The second quadrant of 180 degree or we can also write 180 degree as π.
From the trigonometry table we know that at 30 degree or (π/6) the value of cos is √3/2.
So the value of cos at which -√3/2 is
-√3/2 = cos(π - π/6)
-√3/2 = cos(π×6/6 - π/6)
-√3/2 = cos(6π/6 - π/6)
-√3/2 = cos{(6π- π)/6}
-√3/2 = cos 5π/6
So we can write it as
arccos(-√3/2)=arccos(cos 5π/6)
Since there is a arccos and cos both so only left 5π/6.
arccos(-√3/2)=5π/6
Hence, the value of arccos(-√3/2) is 5π/6.
To learn more about trigonometry quadrant link is here
brainly.com/question/7196312
#SPJ1
The answers are:
The volume: 12387.44 cm3
The lateral surface area: 2400 cm²
The volume (V) of pentagonal prism is:
where:
a is the side of the base,
h is the altitude (height) of the prism.
It is given:
a = 15 cm
h = 32 cm
Thus:
V = 12387.44 cm³
The lateral surface area (A1) of the pentagonal prism is:
A1 = 5 * a * h
A1 = 5 * 15 * 32 = 2400 cm²
Answer:
128511.95 is the profit of the company if it has 3200 customers.
Step-by-step explanation:
Does the 3 with the comma mean cube root?
P(c)=12.75*cuberoot(c^2) - if that is what I understand
to find the profit of the company with 3200 customers, we substitute 3200/100 it in for c
P(32)=12.75*cuberoot(32^2)
If you use a calculator.. you will get
around 128.511947
the profits are in thousandsa of dollars so multiply 128.51194 times 1000
which gives you..
around 128511.95
Im guessing it’s D,something is telling me it’s d