Answer:
4 is your value for m.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, m. Do the opposite of PEMDAS.
First, add 5 & m to both sides:
2m (+ m) - 5 (+ 5) = - m (+ m) + 7 (+ 5)
2m + m = 7 + 5
Simplify. Combine like terms:
3m = 12
Isolate the variable, m. Divide 3 from both sides:
(3m)/3 = (12)/3
m = 12/3
m = 4
m = 4 is your answer.
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The answer is the third of 6
Answer:
-The increase in dollars is $1598
-The amount in her account at the end of last year was $8398.
Step-by-step explanation:
To find the increase, you have to multiply the initial amount for the percentage increase:
6800*23.5%=1598
Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:
6800+1598=8398
According to this, the amount in her account at the end of last year was $8398.
Answer:
C
Step-by-step explanation:
Using the sine ratio and the exact value sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
a = 6
Using the tangent ratio and the exact value tan45° = 1 , then
tan45° = 
= 
= 1 , so
b = 6
The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.
