Answer:
The triangle EFG can be constructed with the following specifications: 
, 
, 
, 
, 
, 
.
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
![E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right]](https://tex.z-dn.net/?f=E%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B%287%5C%2Ccm%29%5E%7B2%7D-%2812%5C%2Ccm%29%5E%7B2%7D-%288%5C%2Ccm%29%5E%7B2%7D%7D%7B-2%5Ccdot%20%2812%5C%2Ccm%29%5Ccdot%20%288%5C%2Ccm%29%7D%20%5Cright%5D)
Angle F
![F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right]](https://tex.z-dn.net/?f=F%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B%2812%5C%2Ccm%29%5E%7B2%7D%20-%20%288%5C%2Ccm%29%5E%7B2%7D%20-%20%287%5C%2Ccm%29%5E%7B2%7D%7D%7B-2%5Ccdot%20%288%5C%2Ccm%29%5Ccdot%20%287%5C%2Ccm%29%7D%20%5Cright%5D)
Angle G
![G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right]](https://tex.z-dn.net/?f=G%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B%288%5C%2Ccm%29%5E%7B2%7D-%2812%5C%2Ccm%29%5E%7B2%7D-%287%5C%2Ccm%29%5E%7B2%7D%7D%7B-2%5Ccdot%20%2812%5C%2Ccm%29%5Ccdot%20%287%5C%2Ccm%29%7D%20%5Cright%5D)
The triangle EFG can be constructed with the following specifications: , , , , , .
From what I can tell, the inequality is:
40 + .5t ≤ 70
Is that one of your options?
Answer:
y = x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1x+4
y = x+4
Answer:
y=6x+4
Step-by-step explanation:
now the formula for slope-intercept is y=mx+b
Slope (aka m) is 6
[how I got the slope is every time it goes forward 1 it goes up 6 rise/run]
so y=6x+[y intercept]
the y intercept is 4 as seen in the chart so:
y=6x+4
enjoy^^
Answer:
perimeter of circle=2πr
16=2πr
r=16/2π=8/πcm
now.
area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²
