3pi/7 < pi/2 because 3/7 < 1/2, and pi/2 is a right angle. Conclusion: the angle opposite side a is an acute angle. In this situation the triangle could be a right triangle, in which case C would be true, but it does not have to be a right triangle, so don´t choose C. Similarly, it could be an acute triangle, in which case B would be true, but it does not have to be, so don´t choose B. Also, A says the angle opposite side a is obtuse, which is false. So don´t choose A. That leaves D, which says the angle opposite side a is acute, which we know is true. So the answer is <span>D. b^2 + c^2 > a^2</span>
The number is -13.
In order to find this, we first need to make each part of the statement into a mathematical statement.
Twice the difference of a number and 2.
2(x - 2)
Three times the sum of the number and 3
3(x + 3)
Now we can set them equal to each other and solve.
2(x - 2) = 3(x + 3) ----> Distribute
2x - 4 = 3x + 9 ------> Subtract 2x from both sides
-4 = x + 9 -----> Subtract 9 from both sides
-13 = x
Answer:
2,995 or 35,940(?)
Step-by-step explanation:
I don't exactly remember how to do this so, I'll show you two different ways I solved this
Use the formula I=P*r*t
I=Interest
P=Principal
r=rate
t=time
To solve this you'll have to...
The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2
Put it into the formula form 29,950*0.05*2= 2,995 in interest
Or...
You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...
29,950*0.6*2=35,940 in interest
I hope one works!
Answer:
The correct answer is first option
u² - 11u + 24 = 0
When u = (x² - 1)
Step-by-step explanation:
It is given that,
(x² - 1)² - (x² - 1) + 24 = 0
<u>To find the correct answer</u>
Substitute u = x² - 1
The equation becomes,
u² - 11u + 24 = 0 Where u = (x² - 1)
Therefore the correct answer is first option
u² - 11u + 24 = 0
When u = (x² - 1)
Account balance is $123.08
Step-by-step explanation:
- Step 1: Balance in Thompson's account = $283.12. Calculate the total amount of checks Thompson wrote in the month.
Total amount of checks = $23.09 + $7.56 + $125.11 + $4.28
= $160.04
- Step 2: Calculate his balance.
Account balance = $283.12 - $160.04
= $123.08
