Answer:
C=20° a=10.8 c= 4.3
Step-by-step explanation:
first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.
to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively
Answer:i think is ((((139)))))
Step-by-step explanation:
I hope it helps you
Answer:
-8 or +7
Step-by-step explanation:
Let x represent the number. The the problem statement tells us ...
x² + x = 56
x² +x -56 = 0 . . . . . subtract 56 to put into standard form
(x +8)(x -7) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = -8 . . . or . . . x = +7
The number could be -8 or +7.
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<em>Check</em>
For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.
For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
