Answer: negative square root of two over 2 and tan theta is -1
Step-by-step explanation:
Did it on edge and got it right
Are you sure this is written correctly? Any number whose digits add to 9 is divisible by 9. For a 2 digit number then, your choices are
18, 27, 36, 45, 54, 63, 72, and 81. None of these has the property that for the 2 digit number AB that B=2A-1. Solving your question algebraically is possible but you get fractional digits.
The two lines with arrows are parallel, which means angles A and B are supplementary.
So we have
A + B = 180º
(6<em>x</em> - 35)º + (3<em>x</em> + 53)º = 180º
(9<em>x</em> + 18)º = 180º
(9<em>x</em>)º = 162º
<em>x</em> = 18
This means angle A has measure
A = (6<em>x</em> - 35)º = 73º
29. A carpenter worked for 4 days to finish a repair job. She charged $825 for 15 hours plus $278 for materials. What is the carpenter's rate per hour?
Let’s start solving:
=> 825 dollars + 278 dollars = 1 103 dollars is the total payment a carpenter have received
=> 15 hours is the total hours he worked
=> 1 103 / 15 = 73.5 dollars per hour. This is already including the material or equipment fee.
Answer:
The check digit is 7.
Step-by-step explanation:
Check digit can be calculated by the following way:
- Add all the digits except the check digit that is the last digit on the right side.
Total = 0 + 2 + 4 + 6 + 7 + 9 + 3 + 6 + 1 + 6 + 3
Total = 47
- Add the digits at odd starting from left, double this amount and finally add it with the total from step 1.
= 0 + 4 + 7 + 3 + 1 + 3
Sum = 18
Doubling the sum = 36
Adding it with the total from step 1, we get
Total = 36 + 47
Total = 83
- Subtract the last digit of the total from step 2 with 10, and this will be check digit.
Check Digit = 10 - 3
Check Digit = 7
