Answer: y=3x+2
Step-by-step explanation:
y=mx+b
Plug in point (x,y)-->(6,8) m=3
8=3 (6) +b
2=b
Answer:
Step-by-step explanation:
LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:
height^2 = 8.26^2 + 20^2 = 468.23
height = 21.64cm
LA = 5*1/2*12*21.64
= 649.2cm^2
SA, Surface Area, is the sum of LA and base area.
Base area = 5*1/2*12*8.26 = 247.8cm^2
SA = 649.2 + 247.8 =897cm^2
Volume, V = 1/3 * base area * height
= 1/3 * 247.8 * 20
= 1652cm^3
The value of x from the given triangle is 32√3/3
<h3>SOH CAH TOA identity</h3>
In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
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