Answer : d. 438.5 ft
The diagram for the given statement is attached below.
Two sides AB and AC are equal so the angle B = angle C
WE know sum of three sides of a triangle = 180
angle A + angle B + angle C = 180
55 + B + C = 180
B + C = 180 -55 = 125
B and C are equal so we divide 125 by 2
angle B = 62.5 and angle C = 62.5
Now we apply sin law
![\frac{sin A}{a} = \frac{sin B}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%20B%7D%7Bb%7D%20%20%20)
![\frac{sin 55}{a} = \frac{sin 62.5}{150}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2055%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%2062.5%7D%7B150%7D%20%20%20)
150 * sin(55) = sin(62.5) * a
122.8728066 = sin(62.5) * a
a = ![\frac{ 122.8728066}{sin(62.5)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20122.8728066%7D%7Bsin%2862.5%29%7D%20%20)
a= 138.52 feet
To find perimeter we add all the sides
150 + 150 + 138.52 = 438.52 feet
Answer:
LCM of 3, 5, and 11 is 165.
Step-by-step explanation:
The difference of the given functions is x^2 + 10
<h3>Difference of functions</h3>
Given the following functions
f(x) = 2x^2 + 3 and
g(x)=x^2-7
Take the difference
(f-g)(x) = 2x^2 + 3 - (x^2 - 7)
(f-g)(x) = 2x^2 - x^2 +3 + 7
(f-g)(x) = x^2 + 10
Hence the difference of the given functions is x^2 + 10
Learn more on difference of function here:brainly.com/question/17431959
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D, it is where the line touches the x axis