The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:
<span>sin(40°)= opposite side / hypotenuse, opposite side = b, hypotenuse = AB= 20cm
</span>sin(40°)= b / 20 and this applies, b = 20 x sin(40°) = 0.64*20 = 12.85 cm
AC= 12.85 cm
Answer:
R-{-5}
Step-by-step explanation:
you get the vertex by making the denominator =0
ex.z+5=0 ,z=-5
then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0
so the vertex would be (-5,0)
the domain =R-{-5} , range=R-{0}
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
1/2 + 1/2 + 2/3 + 3/4 + 47/48 + 48/49 +49/50 = 5.35542517007
This decimal form is ≈ to 5 2/5
Answer:
small cups=30
large cups=40
Step-by-step explanation:
let x be the number of small cups and y the number of large cups.
-Given that 10 more cups than small cups of lemonade were sold:
#Before the 10 more were sold, the number of x and y sold were equal>
The number of small cups sold was 30
#Since, the number of large cups was 10 more, y=x+10=30+10=40