Answer:
You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:
Step-by-step explanation:
P = 5s, where s is the length of a side
P = 2r × Sin(180/5), where r is the radius
Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1
Vertex form is
We're practically in vertex form,
That's a vertex at x=0, y=4, (0,4)
choice C
Answer:
2.1
Step-by-step explanation:
By the Law of Cosines,
a² = 5² + 6² - 2(5)(6)cos(20°)
a = sqrt(5² + 6² - 2(5)(6)cos(20°)), which is about 2.1
Answer:
[See Below]
Step-by-step explanation:
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➜ To solve this, we have to subtract:
➜ To make sure we are correct, we add:
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So your answer would be 
.
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