44/35 = 1 9/35
So, your answer is 1 9/35
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]
Answer:
2,100 cubic feet
Step-by-step explanation:
20 × 15 × 8 = 2,400
20 × 15 × 1 = 300
2,400 - 300 = 2,100
Answer:
32
Step-by-step explanation:
Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20
Area of a left right triangle = 1/2* 2*2 = 2
Area of a right right triangle = 1/2 * 6*2 =6
Area of a square = 2*2 = 4
All together:
20+ 2+6+4 =32
Answer:
223
Step-by-step explanation:
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