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Orlov [11]
3 years ago
10

Solve the literal equation: Z = 4x/Y^2 + 3W for X

Mathematics
2 answers:
ra1l [238]3 years ago
8 0

Answer:

Z = 4X / Y^2 + 3W

Z - 3W = 4X / Y^2

(Z - 3W) * Y^2 = 4X

1/4 * (Z - 3W) * Y^2 = X

X = 1/4 * (Z - 3W) * Y^2

il63 [147K]3 years ago
6 0

Subtract 3w from both sides:

z-3w = \dfrac{4x}{y^2}

Multiply both sides by y^2:

y^2(z-3w) = 4x

Divide both sides by 4:

\dfrac{y^2(z-3w)}{4} = x

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Find the missing angles
SashulF [63]

\huge\bold{Given :}

Angle a = 39°

Angle c = 123°

\huge\bold{To\:find :}

The measure of angle b.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

∠ b = 18°

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

We know that,

\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}

➪ ∠ a + ∠ b + ∠ c = 180°

➪ 39° + ∠ b + 123° = 180°

➪ ∠ b + 162° = 180°

➪ ∠ b = 180° - 162°

➪ ∠ b = 18°

Therefore, the measure of ∠ b is 18°.

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

∠ a + ∠ b + ∠ c = 180°

✒ 39° + 18° + 123° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}

6 0
3 years ago
If f(x)=x+1/x-1 and g(x)=1/x, find f(-2x)
dezoksy [38]

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation:

6 0
3 years ago
What is the fraction of 1578
AVprozaik [17]

Answer:

1578/1

Step-by-step explanation:

Because, it would still simplify to 1578.

7 0
3 years ago
Read 2 more answers
I need help answering
german

6t - 20 - 32u

6(6) - 20 - 32(1/4)

36 - 20 - 8

36 - 20 = 16 - 8 ⇒8

The final answer is 8.

4 0
3 years ago
△ XYZ∼ △ DEF, YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters. What is ​ DF?
Gala2k [10]
Im not for sure on this but i would say DF is 13
7 0
3 years ago
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