Answer:
20.5 , 30.4 , 5.3
Step-by-step explanation:
SOHCAHTOA
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
tanθ = opposite / adjacent
10. tan64° = 42 / x ; x = 42 / tan64° ; x = 20.48476872
12. sin54° = BD / 20 ; BD = 20 * sin54° ; BD = 16.18033989 ;
tan28° = BD / DC ; DC = BD / tan28° ; DC = 30.43079344
13. tan51° = JL / 14 ; JL = 14 * tan51° ; JL = 17.28856019 ;
cos72° = KL / JL ; KL = JL * cos72° ; KL = 5.342458907
Y = -10/3x + 13
All you need to do is get the slope of the line and then find the opposite reciprocal. Then plug in the point into your equation that just has the slope in it. After that find b and write out your equation.
Answer:
Step-by-step explanation:
8d+2d+6d+9-6d = 0
First, combine like terms, so it would become;
10d+9 = 0
Then, separate anything without a variable;
10d = -9
Then you divide;
d= -0.9
Answer:
39
Step-by-step explanation:
Total investment = $10,500
Let x = amount of first investment, and y the amount of the second investment.
First investment:
Interest rate = 9 (1/5)% = 0.092
Earned interest = 0.092x
Second investment:
Interest rate = 9% = 0.09
Earned interest = 0.09y
Total interest after one year is $957.00, therefore
0.092x + 0.09y = 957
or
1.0222x + y = 10633.33 (1)
Also,
x + y = 10500 (2)
Subtract (2) from (1).
0.0222x = 133.33
x = 6000
y = 10500 - x = 4500
Answer:
The first investment is $6,000 at 9 (1/5)% rate;
The second investment is $4,500 at 9% rate.
