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2 years ago

Verify the equation is an identity cos (180 - x) = - cos x Show Work plzzz!!!

Mathematics

1 answer:

astra-53 [7]2 years ago

6 0

check your Unit Circle for the values of at 180°

$cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(180-x)=-cos(x) \\\\[-0.35em] ~\dotfill\\\\ cos(180^o-x)\implies cos(180^o)cos(x)+sin(180^o)sin(x) \\\\\\ (-1)cos(x)+(0)sin(x)\implies -cos(x)$

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What is 0.18 continued as a fraction? 15 points, and branliest for whoever answers first!

quester [9]

Answer:

18/100 or 9/50

Step-by-step explanation:

0.18 = 0.18/1

times 100 then 18/100

divided by 2 then 9/50

3 0

2 years ago

Which functions could represent a reflection over the y axis of the given function

fredd [130]

Answer:

g(x) = 1/2*(4)^(–x) and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x) and

g(x) =1/2*(1/4)^(x)

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3 years ago

Please Help me !!Q 1,2,3

Virty [35]

The area of a parallelogram is the product of the length of the base and the height measured perpendicular to the base.

1i) (20 cm)*(12 cm) = 240 cm^2

2ii) (7 cm)*(7.5 cm) = 52.5 cm^2

3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm

4 0

3 years ago

Which set of ordered pairs could represent a function? (2, 3), (2, 2), (2, 4), (2, 9), (2, –2) (1, 5), (2, 6), (1, 6), (4, 5), (

Ratling [72]

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

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3 years ago

Read 2 more answers

What is Ten percent of a number added to that number?

rodikova [14]

Let x be this number 10% of the number x is (10%)(x) → 0.1x
Then 10% of a number x, added to that number is (1.1x):

x + 0.1x = x(1+0.1) = x(1.1) = 1.1x

8 0

3 years ago