Answer: -1
Step-by-step explanation:
slope formula: y=mx+b
m=slope
y=(-1)x+8
Real life scenarios of acute angles are:
- Sighting a ball from the top of a building at an angle of 55 degrees.
- The angle between two adjacent vanes of a fan that has 6 vanes
<h3>What are acute angles?</h3>
As a general rule, an acute angle, x is represented as: x < 90
This means that acute angles are less than 90 degrees.
<h3>The real life scenarios</h3>
The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.
Sample of the real life scenarios that satisfy the above definition are:
- Sighting a ball from the top of a building at an angle of 55 degrees.
- The angle between two adjacent vanes of a fan that has 6 vanes
Read more about acute angles at:
brainly.com/question/3217512
#SPJ1
16
Because...
4 cats/ 5dogs = x cats/ 20 dogs
Therefore you can conclude it is 16 cats in total
Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have 
. Thus, our functions with 
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function 
and the inner one by 
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation 
, which has two solutions 
and 
. These are then, our integration limits.
