Answer:
tan(2u)=[4sqrt(21)]/[17]
Step-by-step explanation:
Let u=arcsin(0.4)
tan(2u)=sin(2u)/cos(2u)
tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]
If u=arcsin(0.4), then sin(u)=0.4
By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.
This also implies cos(u)=sqrt(0.84) since cosine is positive.
Plug in values:
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]
tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]
tan(2u)=[(40)(sqrt(0.84)]/[34]
tan(2u)=[(20)(sqrt(0.84)]/[17]
Note:
0.84=0.04(21)
So the principal square root of 0.04 is 0.2
Sqrt(0.84)=0.2sqrt(21).
tan(2u)=[(20)(0.2)(sqrt(21)]/[17]
tan(2u)=[(20)(2)sqrt(21)]/[170]
tan(2u)=[(2)(2)sqrt(21)]/[17]
tan(2u)=[4sqrt(21)]/[17]
3/4…
To simplify a fraction, you have to find a similar factor between the numerator and denominator. In this case, it would be 4.
You would divide both numbers by this common factor and create a new fraction.
So… 9/3=3, and 12/3=4. When combined, the answer becomes 3/4.
The most appropriate choice for simple interest will be given by- Balance of Jose after 1 year is $1050
What is simple interest?
Simple interest is the interest applied on the principal value after charging some certain percentage of rate for some certain amount of time.
If the principal value is p, rate is r % per annum and time is t years
Simple interest is calculated as
SI = p ₓ r ₓ t / 100
Here,
Principal for Jose = $1000
Rate = 5%
Time = 1 year
Simple interest = 1000x5x1/100
= $50
Amount = $(1000+50)
= $1050
Balance of Jose after 1 year is $1050
To learn more about simple interest, refer to the link:
brainly.com/question/25793394
#SPJ10
Answer:
50% off :)
Step-by-step explanation:
use the purple coupon to take off half of the whole price so you spend less overall. And the only requirement is that it needs to be over the price of 350 (originally) , so your item is eligible.
No decimal can be whole number but the rational number
