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3 years ago

Use the Pythagorean identity to do the following:

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)

Step-by-step explanation: In the expression

cos(theta)*sin2(theta) − cos(theta)

sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)

2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)

2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)

2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)

2 - 2*sin³(θ) - √1 -sin²(θ)

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Hi does anyone know the answer?

Artemon [7]

Answer:

The correct equation is actually: y=10x+10.

Jaiden calculated the slope of the line incorrectly, as the y-axis increases by 10, not 2. The correct slope of the line is 20/2, which is equal to 10.

Hope this helps!

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3 years ago

X2 + x - 132 = 0 what is the formula

geniusboy [140]

3x-132=0
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4 years ago

Read 2 more answers

a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

Solution:

The volume of rectangular pyramid is given as:

$Volume = \frac{1}{3} \times base\ area \times height$

Given that,

Rectangular pyramid has a volume of 190 cubic centimeters

$190= \frac{1}{3} \times base\ area \times height$

Substitute, base area = 570 and height = 1

Then we get,

$190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190$

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

Substitute, base area = 285 and height = 2

$190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190$

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

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4 years ago

You spin the spinner and flip a coin. Find the probability of the compound event.

ycow [4]

Answer:

50% is correct.

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4 years ago

Read 2 more answers

Can someone pls explain how to do this

Rama09 [41]

The polynomial A is represented as x - 2, making option A the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

or, A = (x² + x - 6)/(x + 3) {Subtracting the two fractions with the same denominator (x + 3)},

or, A = (x² + 3x - 2x - 6)/(x + 3) {Mid-term factorization},

or, A = {x(x + 3) - 2(x + 3)}/(x + 3) {Taking common},

or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as x - 2, making option A the right choice.

Learn more about polynomials at

brainly.com/question/11434122

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1 year ago