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3 years ago

When y = 7, what is the value of x?

Mathematics

1 answer:

GREYUIT [131]3 years ago

3 0

Answer:-1 as said in the bottom of the equation

Step-by-step explanation: it is at the bottom of the equation if wrong sorry.

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Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18°

MArishka [77]

<h3>Answer: cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

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We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192
cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0

2 years ago

Wich line represents-7x-13 > 8?

nlexa [21]

Answer: 3rd one

Step-by-step explanation:Because I’m not from 63rd nahh jkjk I don’t have to explain its hard to

Explain

6 0

3 years ago

What fraction is not equal to 2/3

Svetllana [295]

Answer:

All fractions except 2/3 lol

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He

Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

$A'(x)=\frac{d}{dx}(80x-2x^{2})$

= 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = $\frac{80}{4}$

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

= 1600 - 800

= 800 square feet

Maximum area of the patio is 800 square feet.

7 0

3 years ago

10.

vodomira [7]

<h3>Solution:</h3>

Given, side (a) = x+3
We know, surface area of a cube = 6a^2
Therefore, the surface area of the cube

<h3> </h3><h3> $6(x + 3) ^{2} \\ = 6( {x}^{2} + 6x + 9) \\ = 6 {x}^{2} + 36x + 54$ </h3><h3>Answer:</h3>

The answer is

${6x}^{2} + 36x + 54$

<h3>Hope it helps.</h3>

Sorry for delay

3 0

2 years ago