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]
Complete Question
We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
Answer:
a) 0.85 euros
b) 1.18 dollars
Step-by-step explanation:
The equation is given as:
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
E = 17/20D
D = 1 dollar
Hence:
E = 17/20 × 1
E = 0.85 euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
E = 17/20D
E = 1 euro
1 = 17/20D
D = 1 ÷ 17/20
D = 1 × 20/17
D = 1.1764705882 dollars
D = 1.18 dollars
Answer:
9.7 x 2.84 and 6.25 x 4.76
Step-by-step explanation:
they are the only two that get close to 30 without getting over it
-2^6-(6)^2= -100. Hope this helps have a great day. :)
