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4 years ago

Find x. 2 √6 6 √2 12 8

Mathematics

2 answers:

Lina20 [59]4 years ago

5 0

The Answer is indeed: 6√2

Neko [114]4 years ago

3 0

Answer:

6 sqrt(2)

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 45 = 6 /x

Multiply each side by x

x sin 45 = 6

Divide each side by sin 45

x = 6 / sin 45

We know that sin 45 = sqrt(2)/2

x = 6 / (sqrt(2) /2)

x = 12/ sqrt(2)

Multiply by sqrt(2)/ sqrt(2)

x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))

x = 12 sqrt(2)/2

x = 6 sqrt(2)

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−1/3 −(−1/2)<br><br> Brainliest for the right answer

lawyer [7]

The answer would be -1/6 or -0.166667

4 0

4 years ago

Which graph shows all the values that satisfy Two-ninths x + 3 greater-than 4 and five-ninths

choli [55]

Answer:

Step-by-step explanation:

2/9x+3>4 5/9

Subtract

2/9x>7 5/9

Divide by 2/9

x>34

As none of the number lines represent this data, the question was written incorrectly, or there is more information.

4 0

3 years ago

Read 3 more answers

Write an equation of the line that passes through the given point and has the given slope. (3,-3) slope 3

taurus [48]

Answer:

y=3x-12

Step-by-step explanation:

y=mx+b

then plug in known variables to find b

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4 0

3 years ago

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub

ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

$V = 288$ --- Volume

$C_1 = 0.06$ --- cost of wall paint

$C_2 = 0.16$ ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

$V =xyz$

Substitute 288 for V

$288 =xyz$

Make z the subject

$z = \frac{288}{xy}$

The surface area is calculated as:

$Area = 2(yz + xz) + xy$

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

$C = 0.06 * 2(yz + xz) + 0.16 * xy$

Substitute $z = \frac{288}{xy}$

$C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy$

$C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

Differentiate w.r.t x and y

$C_x = -\frac{34.56}{x^2} + 0.16y$

$C_y = -\frac{34.56}{y^2} + 0.16x$

By comparison: $x = y$

Set them equal to 0

$C_y = -\frac{34.56}{y^2} + 0.16x=0$

$-\frac{34.56}{y^2} + 0.16x=0\\$

Substitute x for y

$-\frac{34.56}{x^2} + 0.16x=0$

$0.16x=\frac{34.56}{x^2}$

Cross multiply

$0.16x^3 = 34.56$

$x^3 = \frac{34.56}{0.16}$

$x^3 = 216$

Take the cube root of both sides

$x = \sqrt[3]{216}$

$x = 6$

$x=y= 6$

Substitute 6 for x and for y in $C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

$C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6$

$C = (\frac{2*34.56}{6}) + 5.76$

$C = 11.52 + 5.76$

$C = 17.28$

$C = 17.3$ --- approximated

8 0

3 years ago

A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?

DerKrebs [107]

If you multipy 2 times 6 the answer would be 12

4 0

3 years ago