The answer to the whole process. is2
Answer:
y+4=-2/3 (x+1)
Step-by-step explanation:
-1 = x1
-4 = y1
m = -2/3
slope - intercept form = y - y1 = m(x - x1)
y-(-4) = -2/3(x - (-1))
y + 4 = -2/3(x +1)
Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
The answer is
V = 34,992 y^3You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).
To manually compute, get the h (height) first before computing for V (volume).
h^2 = l^2 - (s/2)^2 : l (slant height), s (base edge/side)
h = √((45^2) - (54/2)^2)
h = 36
Then find V (volume) : s (side), h (height)
V = 1/3 (s^2)(h)
V = 1/3 (54^2)(36)
V = 34,992 y^3
Answer:
Step-by-step explanation:
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