Step-by-step explanation:
Nicole starts with the budget:
$395
Now, she only expects to pay half the deposit;
$72 ÷ 2 = $36
Subtract this from the budget:
$395 - $36 = $359
Divide by cost per hour:
$359 ÷ $60 = 5.983333... (3 repeating)
This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be
15/1 multiply by 4 to get the same denominator =
45/4 45 divided by 3 = 15 3/4 cups are needed which equals 45/4 cups of milk
Answer:
<em>The numbers are 4 and 6</em>
<em />
Step-by-step explanation:
Let
x------> be the first positive even integer
x+2---> be the second positive even integer
<em>we know that the solution is a positive value</em>
<em />
<u>The numbers are 4 and 6</u>
Hope this helps!
<em>stay safe</em>
If you're using the app, try seeing this answer through your browser: brainly.com/question/3242555——————————
Solve the trigonometric equation:
Restriction for the solution:
Square both sides of
(i):
![\mathsf{\dfrac{sin\,x}{cos^2\,x}\cdot \left[2\cdot (1-sin^2\,x)-sin\,x \right]=0}\\\\\\ \mathsf{\dfrac{sin\,x}{cos^2\,x}\cdot \left[2-2\,sin^2\,x-sin\,x \right]=0}\\\\\\ \mathsf{-\,\dfrac{sin\,x}{cos^2\,x}\cdot \left[2\,sin^2\,x+sin\,x-2 \right]=0}\\\\\\ \mathsf{sin\,x\cdot \left[2\,sin^2\,x+sin\,x-2 \right]=0}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cdfrac%7Bsin%5C%2Cx%7D%7Bcos%5E2%5C%2Cx%7D%5Ccdot%20%5Cleft%5B2%5Ccdot%20%281-sin%5E2%5C%2Cx%29-sin%5C%2Cx%20%5Cright%5D%3D0%7D%5C%5C%5C%5C%5C%5C%20%5Cmathsf%7B%5Cdfrac%7Bsin%5C%2Cx%7D%7Bcos%5E2%5C%2Cx%7D%5Ccdot%20%5Cleft%5B2-2%5C%2Csin%5E2%5C%2Cx-sin%5C%2Cx%20%5Cright%5D%3D0%7D%5C%5C%5C%5C%5C%5C%20%5Cmathsf%7B-%5C%2C%5Cdfrac%7Bsin%5C%2Cx%7D%7Bcos%5E2%5C%2Cx%7D%5Ccdot%20%5Cleft%5B2%5C%2Csin%5E2%5C%2Cx%2Bsin%5C%2Cx-2%20%5Cright%5D%3D0%7D%5C%5C%5C%5C%5C%5C%20%5Cmathsf%7Bsin%5C%2Cx%5Ccdot%20%5Cleft%5B2%5C%2Csin%5E2%5C%2Cx%2Bsin%5C%2Cx-2%20%5Cright%5D%3D0%7D)
Let
So the equation becomes
Solving the quadratic equation:
You can discard the negative value for
t. So the solution for
(ii) is
Substitute back for
t = sin x. Remember the restriction for
x:
where
k is an integer.
I hope this helps. =)
Step-by-step explanation:
Using the formulas
A
=
π
r
2
C
=
2
π
r
Solving for
A
A
=
C
2
4
π
=
117
2
4
·
π
≈
1089.33601
cm²
A
≈
1089.34
cm²
