3 years ago

Find cos(pi/2-theta), if sin theta = 0.45

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

cos(pi/2-theta)=sin(theta)

hence, cos(pi/2-theta)=0.45

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Write a scenario that could be represented by this equation: 3/4x = 12

Aneli [31]

Answer:

x=1 or x=16

Step-by-step explanation:

3/4x = 12 or 0.75x = 12

3/4x/3/4 = 12/3/4 or 0.75x/0.75 = 12/0.75

x=12/1 / 3/4

x= 4/4

x = 1 or x = 16

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2 years ago

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

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2 years ago

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Arte-miy333 [17]

Answer: 12k + 5
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3 years ago

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Neporo4naja [7]

Answer:

The answer is (x+3)^2+(y-4)^2=1

Step-by-step explanation:

The equation is (x-a)^2+(y-b)^2=r^2

In this equation, a and b are the coordinates of a center, and r is radius

Substituting given values, we obtain our answer.

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