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3 years ago

Please solve and give me the answer. Please show me how you solved it too.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

3 0

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

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2 years ago

There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out

kykrilka [37]

Answer:

Red : 5/12

Blue : 1/3

Green: 1/6

Yellow : 1/12

Step-by-step explanation:

5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles

5 red marbles / 12 total marbles = 5/12

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3 years ago

Determine the amplitude or period as requested. Period of a y = - 1/3 * sin x - 1/3 pi/3 1/3 d 2pi

zysi [14]

Answer:

$Period = 2\pi$

Step-by-step explanation:

Given

$y = -\frac{1}{3} * \sin(x - \frac{1}{3})$

Required

Determine the period

A sine function is represented as:

$y =A \sin(Bx + C) + D$

Where

$Period = \frac{2\pi}{B}$

By comparing:

$y =A \sin(Bx + C) + D$ and $y = -\frac{1}{3} * \sin(x - \frac{1}{3})$

$Bx = x$

So:

$B = 1$

So, we have:

$Period = \frac{2\pi}{B}$

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Hence, the period of the function is $2\pi$

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3 years ago

A recipe calls for 1/2 cups of milk as a decimal help

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7 0

3 years ago

Read 2 more answers

Write a possible third degree polynomial with integer coefficient that have zeros: 1 2i, -4. Assume the leading coefficient to b

jasenka [17]

Answer:

The polynomial is:

$p(x) = x^3 + 2x^2 - 3x + 20$

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros $x_1, x_2, x_3$ the following way:

$p(x) = a(x - x_1)(x - x_2)(x - x_3)$

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

$p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))$

$p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)$

$p(x) = ((x-1)^2 - (2i)^2)(x + 4)$

$p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)$

Since $i^2 = -1$

$p(x) = (x^2 - 2x + 1 + 4)(x + 4)$

$p(x) = (x^2 - 2x + 5)(x + 4)$

$p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20$

$p(x) = x^3 + 2x^2 - 3x + 20$

3 0

3 years ago