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: , , , , , .
Answer:
First choice V = 18,432π m^3; S = 2,304π m^2
Step-by-step explanation:
Start with the two formulas:
Volume of a circle:
Surface area of a circle:
Now use r = 24 m in each formula.
Volume:
Surface area:
Answer: First choice V = 18,432π m^3; S = 2,304π m^2
F(c)Have the greatest maximum
Answer:
6.25
Step-by-step explanation:
V=lwh
/3
To account for the 2/3 slant, add 1
2.5X2.5X3/3 = 6.25
If this is incorrect, I'm sorry. But this seemed to be the most plausible answer based on how far away the other numbers are and how it matches perfectly with the answer choice
A function assigns the values. The range of the function will be between (-∞,10].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given function f(x)=10-x² is a parabolic function that is negative, therefore, will open downwards. Now, the range of the function can be found as,
f(x)=10-x²
y=10-x²
y-10 = -x²
-y+10 = x²
-y + 10 = 0
y = 10
Thus, the range of the function will be between (-∞,10].
Learn more about Function:
brainly.com/question/5245372
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