A. For each year a person ages his or her maximum heart rate decreases by 220 beats per minute.!
Answer:
It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.
I took geometry a while ago, I can help if you want.
Answer:
The area of the sector is ![37.68\ in^{2}](https://tex.z-dn.net/?f=37.68%5C%20in%5E%7B2%7D)
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
----> the radius is half the diameter
substitute
![A=(3.14)(6)^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%286%29%5E%7B2%7D)
![A=113.04\ in^{2}](https://tex.z-dn.net/?f=A%3D113.04%5C%20in%5E%7B2%7D)
step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of
subtends a central angle of ![2\pi \ radians](https://tex.z-dn.net/?f=2%5Cpi%20%5C%20radians)
so
by proportion
Let
x----> the area of the sector
![\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B113.04%7D%3D%5Cfrac%7B%282%5Cpi%2F3%29%7D%7Bx%7D%5C%5C%20%5C%5Cx%3D113.04%2A%282%5Cpi%2F3%29%2F%282%5Cpi%29%5C%5C%20%5C%5Cx%3D37.68%5C%20in%5E%7B2%7D)
Solution
1) <span>Simplify <span><span>−5n−4n</span></span> to <span><span>−9n</span></span>
</span><span><span>−9>−9n
</span></span>
2) <span>Divide both sides by <span><span>−9</span></span>
</span><span><span>1<n
</span></span>
3) <span>Switch sides
</span><span><span>n>1</span></span>