MATHEMATICS HIGH SCHOOL

Simplify square root parenthesis 1 minus sine theta parenthesis times parenthesis 1 plus sine theta parenthesis.

Answers

Answer 1

Answer:

Answer:

$cos{\theta}$

Step-by-step explanation:

The given equation will be of the form:

$\sqrt{(1-sin{\theta})(1+sin{\theta})}$

Simplifying the above equation, we get

Using identity, $(a+b)(a-b)=a^2-b^2$

= $\sqrt{1^2-(sin{\theta})^2}$

= $\sqrt{1-sin^2{\theta}}$

= $\sqrt{cos^2{\theta}}$

= $cos{\theta}$

which is the required simplified form of the given equation.

Answer 2

Answer: answer is Cos theta
find the attachments for detailed solution

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Solve the following system using the substitution method.9x + 8y = 15
-5x + 12y = -107

(x, y) = ( , )

Answers

x = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

The larger nail is a dilation of the smaller nail.Select all statements that are true.

Answers

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

To convert drams to grams, multiply the number of drams by which number?

Answers

"Dram" is a unit of volume, whereas "gram" is a unit of mass.
They can't be directly converted. If they both refer to a sample
of some substance, then the conversion depends on the density
of the substance. All we can say for sure by way of an answer is:
To change 'drams' to 'grams', replace the 'd' with 'g'.

Solve 5w-8 divide 3=4w+2

Answers

$(5w-8)/(3)=4w+2\ \ \ \ \ |multiply\ both\ sides\ by\ 3\n\n5w-8=3(4w+2)\n\n5w-8=3(4w)+3(2)\n\n5w-8=12w+6\ \ \ \ \ |add\ 8\ to\ both\ sides\n\n5w=12w+14\ \ \ \ \ |subtract\ 12w\ from\ both\ sides\n\n-7w=14\ \ \ \ \ |divide\ both\ sides\ bhy\ (-7)\n\n\boxed{w=-2}$

Which statements are true about the linear inequality y > 3/4 x – 2? Check all that apply.The slope of the line is –2.

The graph of y > 3/4 x – 2 is a dashed line.

The area below the line is shaded.

One solution to the inequality is (0, 0).

The graph intercepts the y-axis at (0, –2).

Answers

The correct statements regarding the inequality given above are as follows:

The area below the line is shaded since it is an inequality with a number of possible solution. The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Hope this answers the question.

Answer:

The area below the line is shaded

since it is an inequality with a number of possible solution.

The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Step-by-step explanation:

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend? The choices are: A. 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8 B. 6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8 C. 6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8 D. 6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8