Answer:
<6 = 68
Step-by-step explanation:
<5 + <6 + 90 = 180 since the 3 angles form a straight line
22 + <6 + 90 =180
Combine like terms
112+ <6 = 180
Subtract 112 from each side
<6 = 180-112
<6 =68
An equation has as many solutions as the highest exponent.
For example: x^5+2x-3=0 would have a maximum of 5 solutions
Answer:
The first four terms of the above sequence are 1, 6, 11, 16.
Step-by-step explanation:
A sequence is defined by the function f(n)=f(n-1)+5.
Where n represents the number of the term for n>1
First Put n = 2
f(2)=f(2-1)+5.
= f (1) + 5
= -4 + 5
= 1
Second Put n = 3
f(3)=f(3-1)+5.
= f (2) + 5
= 1 + 5
= 6
Third Put n = 4
f(4)=f(4-1)+5.
= f (3) + 5
= 6+ 5
= 11
Second Put n = 5
f(5)=f(5-1)+5.
= f (4) + 5
= 11 + 5
= 16
Therefore the first four terms of the above sequence are 1, 6, 11, 16.
It will take Ahmad 12 hours to drive 864 miles
Step-by-step explanation:
- Step 1: Find the speed of Ahmad.
Distance = 360 miles
Time = 5 hours
⇒ Speed = Distance/Time = 360/5 = 72 miles/hour
- Step 2: Find the time required to drive 864 miles
⇒ Time = Distance/Speed = 864/72 = 12 hours
Answer:
22 cookies
Step-by-step explanation:
A dozen items means 12 number of items.
Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container
= 2 
6 = 12
Number of cookies brought by Sally = A dozen cookies = 12
Number of cookies brought by Sandy = 2
Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26
Total number of cookies to be brought = 4 dozen = 48 cookies
Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together
48 - 26 = <em>22 cookies</em>
