Answer with explanation:
The equation of two curves are
y=8 sin x
y=8 cos x
The point of intersection of two curves are
→8 sin x=8 cos x
sinx = cos x

When you will look between points , 0 and
,the curve obtained is right angled triangle.
Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.
Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to
.
Required volume of solid obtained

=8-4√2 cubic units
22.02............................................................................
Answer:
Total number of balloons= 160
Step-by-step explanation:
Giving the following information:
Number of balloons inflated by Zoey= 24
Proportion of balloons inflated= 15%
<u>To calculate the total number of balloons, we need to use the following formula:</u>
Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated
Total number of balloons= 24 / 0.15
Total number of balloons= 160
<u>What we know</u>:
- Bird feeder capacity: --> 2 4/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<em>Lets first convert the mixed partial fraction --> improper fraction</em>
<em> --> for easier calculation</em>
<em />
<u>After Conversion:</u>
- Bird feeder capacity: --> 14/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
<u>Solve:</u>

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>
<u></u>
<u>Answer: 4</u>
<u></u>
Hope that helps!
Answer:
$255,331
Step-by-step explanation:
Calculation for the estimated price
ln (price) =11.65 +0.000473*square foot
Square feet =1,692
First step is to find the ln (price)
ln (price) =11.65 +0.000473*1,692
ln (price)=12.450316
Last step is to calculate the Estimated price by using calculator to find the exponential of 12.450316
Estimated price=e^(12.450316)
Estimated price=$255,330.99
Estimated price=$255,331 Approximately
Therefore the estimated price of a house that is 1,692 square feet will be $255,331