Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
You will take 44+(40/100 * 44) = 44 + 17.6 = $61.60 ($61.60 is going to be the retail price of the lamp).
Answer:
The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Step-by-step explanation:
Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.
so:
(72,000 x 103 )÷150 = 49,440
The next step is to calculate the 5% margin of error of that result.
49,440 x 0.05= 2,472
Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.
49,440-2,472= 46,968
49,440 + 2,472=51,912
So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Option C: -3 is the average rate of change between 
and 
Explanation:
The formula to determine the average rate of change is given by
Average rate of change = 
We need to find the average rate of change between and
Thus, from the table, we have,
, 
, 
Thus, substituting these values in the formula, we get,
Average rate of change = 
Thus, the average rate of change between and is -3.
Hence, Option C is the correct answer.
Answer:
6. 16 meters^2, 16 meters
7. 100 milimieters^2, 40 milimeters
9. 56 centimeters^2, 30 centimeters
10. 49 inches^2, 28 inches
11. 9 meters^2, 12 meters
12. 72 yards^2, 36 yards
Step-by-step explanation:
s is for a square
A=s^2
P=4s
l+w is for a rectangle
A=lw
P=2l+2w
6. A=4^2
A= 16 meters^2
P=4*4
P= 16 meters
7. A=10^2
A=100 milimieters^2
P=4*10
P= 40 milimeters
9. A=8*7
A= 56 centimeters^2
P=2(8)+2(7)
P=30 centimeters
10. A=7^2
A=49 inches^2
P=4*7
P=28 inches
11. A= 3^2
A=9 meters^2
P=4*3
P= 12 meters
12.
A=12*6
A=72 yards^2
P= 2(12)+2(6)
P= 36 yards
Let me know if you have any questions. Also, don't forget units!
