Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A =
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s²
= 324
( divide both sides by
)
s² = 324 ( take the square root of both sides )
s =
= 18
Thus
perimeter = 3 × 18 = 54 cm
Answer:
0 = a
Step-by-step explanation:
The first thing to do is subtract 5 from both sides.
a + 5 = 5a + 5
- 5 - 5
The 5's cancel out.
Now we have a + 0 = 5a
You next subtract the a from both sides.
a + 0 = 5a
-a -a
0 = 4a
Lastly would to get a by itself so then we divide 4 from both sides
0 = 4a
_ _
4 4
0 = a
Answer:
Period =½
Equation of midline, y=0
Maximum =2
Minimum=-2
Step-by-step explanation:
The given function is
![f(x) = - 2 \cos(4 \pi \: x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%202%20%5Ccos%284%20%5Cpi%20%5C%3A%20x%29%20)
The period is given by:
![\frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Cpi%7D%7Bb%7D%20%20%3D%20%20%20%5Cfrac%7B2%5Cpi%7D%7B4%5Cpi%7D%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
The equation of the midline is y=0 since there is no vertical shift
The amplitude of this function is 2 so the range is -2≤y≤2.
Hence the maximum value is 2 and minimum value is -2
Answer:
x = 19
Step-by-step explanation:
3(x - 9) = 30
Divide both sides by 3 to isolate the binomial.
x - 9 = 10
Add 9 to both sides to isolate x.
x = 19
Check your answer by plugging x = 19 back into the equation.
3(x - 9) = 30
3(19 - 9) = 30
Subtract.
3(10) = 30
Multiply.
30 = 30
Your answer is correct.
Hope this helps!
I'm just guessing but maybe expressions