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Oduvanchick [21]
3 years ago
12

I didn’t mean to ask a question

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0
We all make mistakes. Have a great day.
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I want solution...please help me
Art [367]

sin(<em>θ</em>) + cos(<em>θ</em>) = 1

Divide both sides by √2:

1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = 1/√2

We do this because sin(<em>x</em>) = cos(<em>x</em>) = 1/√2 for <em>x</em> = <em>π</em>/4, and this lets us condense the left side using either of the following angle sum identities:

sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)

cos(<em>x</em> - <em>y</em>) = cos(<em>x</em>) cos(<em>y</em>) - sin(<em>x</em>) sin(<em>y</em>)

Depending on which identity you choose, we get either

1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = sin(<em>θ</em> + <em>π</em>/4)

or

1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = cos(<em>θ</em> - <em>π</em>/4)

Let's stick with the first equation, so that

sin(<em>θ</em> + <em>π</em>/4) = 1/√2

<em>θ</em> + <em>π</em>/4 = <em>π</em>/4 + 2<em>nπ</em>   <u>or</u>   <em>θ</em> + <em>π</em>/4 = 3<em>π</em>/4 + 2<em>nπ</em>

(where <em>n</em> is any integer)

<em>θ</em> = 2<em>nπ</em>   <u>or</u>   <em>θ</em> = <em>π</em>/2 + 2<em>nπ</em>

<em />

We get only one solution from the second solution set in the interval 0 < <em>θ</em> < 2<em>π</em> when <em>n</em> = 0, which gives <em>θ</em> = <em>π</em>/2.

5 0
3 years ago
What is the top price of $45.09 item when 7% sales tax is added
andriy [413]
100+7=107

107% of 45.09=1.07 times 45.09=48.2463
round to nearest cent
$48.25 is the top price

7 0
3 years ago
PLEASE PLEASE HELP ill give FREE points plus BRAINLIEST !!
Tanya [424]

Answer:b

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A certain economy's consumption function is given by the equation C(x) = 0.65x + 9 where C(x) is the personal consumption expend
ipn [44]

Answer:

1) C(0) = 9

2) C(50) =41.5

3) C(100) =74

Step-by-step explanation:

Given : A certain economy's consumption function is given by the equation C(x) = 0.65x + 9

where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.

To find :

1) C(0)

Put x=0 in the given equation,

C(0) = 0.65(0)+ 9

C(0) = 9

2) C(50)

Put x=50 in the given equation,

C(50) = 0.65(50)+ 9

C(50) =32.5+9

C(50) =41.5

3) C(100)

Put x=100 in the given equation,

C(100) = 0.65(100)+ 9

C(100) =65+9

C(100) =74

7 0
3 years ago
Does this graph show a function? Explain how you know.
DanielleElmas [232]

Answer:

yes

Yes; the graph passes the vertical line test.

Step-by-step explanation:

if it were a graph of a circle it would not pass

the vertical line test because the vertical line would touch at least 2 points

graph is probably a cubic function

something like

y = x^3-4x+6

6 0
3 years ago
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