Answer:
9.182
Step-by-step explanation:
0.2 + 0.982 = 1.182
1.182 + 8 = 9.182
Answer:
3x+12
Step-by-step explanation:
Expanding is basically the opposite of simplifying an equation, in order to expand you just multiply everything out
Here we have

which just means

which is

Answer:
Step-by-step explanation:
Given RT bisects QTS, so
3x+9 = 5x-3
9+3 = 5x-3x
2x = 12
x = 6
Check:
3(6) + 9 = 27
5(6)-3 = 27
checks
Problem 3
<h3>Camille is correct</h3>
You subtract 4x from both sides, then divide both sides by -2 to fully isolate y.
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Problem 4
Multiply both sides by r to get
2mr = p-q
which is the same as
p-q = 2mr
The last step is to add q to both sides leading to this final answer
<h3>p = 2mr+q</h3>
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Problem 5
Answer: ![r = \sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
This is the cube root of (3V)/(4pi)
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Work Shown:
![V = \frac{4}{3}\pi r^3\\\\3V = 4\pi r^3\\\\4\pi r^3 = 3V\\\\r^3 = \frac{3V}{4\pi}\\\\r = \sqrt[3]{\frac{3V}{4\pi}}\\\\](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5C%5C3V%20%3D%204%5Cpi%20r%5E3%5C%5C%5C%5C4%5Cpi%20r%5E3%20%3D%203V%5C%5C%5C%5Cr%5E3%20%3D%20%5Cfrac%7B3V%7D%7B4%5Cpi%7D%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D%5C%5C%5C%5C)
Answer:
Perimeter of ΔABC = 16.46 units
Step-by-step explanation:
By applying cosine rule (CAH) in the given triangle ADB,
cos(∠BAC) = 
cos(55°) = 
AB = 5.23 units
Since, ΔABC is an isosceles triangle
AB = BC = 5.23 units
AD = DC = 3 units [Perpendicular drawn from a vertex of an isosceles triangle is a perpendicular bisector of the opposite side]
Therefore, AC = AD + DC = 6 units
Now perimeter of ΔABC = AB + BC + AC
= 5.23 + 5.23 + 6
= 16.46 units