Answer:
97
Step-by-step explanation:
83 and JKL form a straight line so they add to 180 degrees
83+ JKL = 180
Subtract 180 from each side
83-83+ JKL = 180-83
JKL = 97
Answer:
Part a) ![n=-8.017176](https://tex.z-dn.net/?f=n%3D-8.017176)
Part b) ![n=9.700465](https://tex.z-dn.net/?f=n%3D9.700465)
Step-by-step explanation:
Part a) we have
![9^{(n+10)}+3=81](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%2B3%3D81)
Solve for n
Subtract 3 both sides
![9^{(n+10)}+3-3=81-3](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%2B3-3%3D81-3)
![9^{(n+10)}=78](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%3D78)
take log both sides
![log[9^{(n+10)}]=log[78]](https://tex.z-dn.net/?f=log%5B9%5E%7B%28n%2B10%29%7D%5D%3Dlog%5B78%5D)
![(n+10)log[9]=log[78]](https://tex.z-dn.net/?f=%28n%2B10%29log%5B9%5D%3Dlog%5B78%5D)
![(n+10)=log[78]/log[9]](https://tex.z-dn.net/?f=%28n%2B10%29%3Dlog%5B78%5D%2Flog%5B9%5D)
----> using a calculator
![n=-8.017176](https://tex.z-dn.net/?f=n%3D-8.017176)
Part b) we have
![11^{(n-8)}-5=54](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D-5%3D54)
Solve for n
Adds 5 both sides
![11^{(n-8)}-5+5=54+5](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D-5%2B5%3D54%2B5)
![11^{(n-8)}=59](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D%3D59)
take log both sides
![log[11^{(n-8)}]=log[59]](https://tex.z-dn.net/?f=log%5B11%5E%7B%28n-8%29%7D%5D%3Dlog%5B59%5D)
![(n-8)log[11]=log[59]](https://tex.z-dn.net/?f=%28n-8%29log%5B11%5D%3Dlog%5B59%5D)
![(n-8)=log[59]/log[11]](https://tex.z-dn.net/?f=%28n-8%29%3Dlog%5B59%5D%2Flog%5B11%5D)
----> using a calculator
![n=9.700465](https://tex.z-dn.net/?f=n%3D9.700465)
Answer:
9 tons
Step-by-step explanation:
So first we have to figure out the area of the smaller wall. We know it is 10 feet high and 20 feet long, so we multiply the length and width together to get 200 square feet, and that equals 1 ton. Now if we take the 1800 square foot wall and divide it by the smaller wall, we get 9. This is because the larger wall is 9 times the size of the smaller wall. So if the smaller wall needs 1 ton, and the larger would need 9 times the amount, we would need 9 tons.
Answer:
66.11
Step-by-step explanation:
We are given that a number
66.1086
We have to round the number to hundredths
Place of 6=One;s
Place of second 6=Tens
Place of 1=Tenths
Place of 0=Hundredths
Place of 8=Thousandths
Place of 6=Ten thousandths
Thousandths place is 8 which is greater than 5 therefore, one will be added to hundredth place and other number on the left side of hundredth place remain same and the numbers on the right side of hundredth place will be replace by zero.
Therefore, the given number round to hundredths=66.11
Answer:
<em><u>The degree</u></em> of vertex is the total number of vertices adjacent to the vertex .