Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
Answer:
She have $1133.33 in account which pays 5% annual interest and he have $1933.33 in account which pays 10% annual interest
Step-by-step explanation:
Let x be the amount she invested at 5% annual interest
She invested $800 more in 10%
So, she invested x+800 at 10% annual interest
Case 1:
Principal = x
Time = 1 year
Rate of interest = 5%
Case 2:
Principal = x+800
Time = 1 year
Rate of interest = 10%
Interest = Amount - principal = 880+1.1x-x=880+0.1x
Her total interest for a year is $250
So,
So the amount she invested at 5% annual interest is $1133.33
She invested at 10% annual interest=x+800=1133.33+800=1933.33
Hence she have $1133.33 in account which pays 5% annual interest and he have $1933.33 in account which pays 10% annual interest
Answer:
x° = 48°
Step-by-step explanation:
90° + 42° + x° = 180°
132° + x° = 180°
x° = 180° - 132° = 48°
Therefore, x° = 48°
Answer:
3ft
Step-by-step explanation: