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GenaCL600 [577]
3 years ago
5

Please help me with this answer

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

sin^2x=1/2

so sinx=1/V2=V2/2

x=pi/4

finlep [7]3 years ago
7 0

Answer:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Step-by-step explanation:

2\sin^2(\theta)=1

Divide both sides by 2:

\sin^2(\theta)=\dfrac{1}{2}

Take the square root of both sides:

\sin(\theta)=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}

The only two places on the unit circle where the y value of the point is \dfrac{\sqrt{2}}{2} are at:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Hope this helps!

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Consider the graph of the function f(x)=2^x.
GarryVolchara [31]

Answer:

Step-by-step explanation:

1 -     f(x) = f (x + 2) = 2^x+2

      { when x = 0, y = 2² = 4 }

     so the function { y - intercept at (0, 4) }

2 -   m(x) = -f(x) = - 2^x

      2^x increases as x increases

     So -2^x {decreases as x increases}

3 -  g(x) = 2f(x) = 2, 2^x = 2^x+1

    { when x = 0, y = 2^1 = 2 }

   So the function { y-intercept at (0, 2)

4 - h(x) = f(x)+ 2 = 2^x + 2

f(x)'s asymptote of y = 0

so {f(x) + 2}'s asymptote of y =2

7 0
3 years ago
A gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost $
nordsb [41]

5 jars of jam and 3 packages of bread mix are in gift basket

<em><u>Solution:</u></em>

Let "x" be the number of jars of jam

Let "y" the number of packages of bread mix

Cost of 1 jars of jam = $ 6

Cost of 1 package of bead mix = $ 5

<em><u>There are 8 items in the basket</u></em>

Therefore,

number of jars of jam + number of packages of bread mix = 8

x + y = 8 ---------- eqn 1

<em><u>A gift basket that contains jars of jam and packages of bread mix costs $45</u></em>

Therefore, we frame a equation as:

number of jars of jam x Cost of 1 jars of jam + number of packages of bread mix x Cost of 1 package of bead mix = 45

x \times 6 + y \times 5 = 45

6x + 5y = 45 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 8 - y --------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

6(8 - y) + 5y = 45

48 - 6y + 5y = 45

y = 48 - 45

<h3>y = 3</h3>

<em><u>Substitute y = 3 in eqn 3</u></em>

x = 8 - 3

<h3>x = 5</h3>

Thus 5 jars of jam and 3 packages of bread mix are in gift basket

5 0
4 years ago
Convert 5.6 into vulgar fraction​
zheka24 [161]

Answer:

The answer is 28/5

Step-by-step explanation:

5.6 can be written as 56/10 into vulgar fraction.

Thus, The answer is 56/10 = 28/5

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
Jameson was 5 years old y years ago. How old will he be in z years?
Vera_Pavlovna [14]

I see that the information provided may not be enough. However, I can assume Jameson could be 6 years old, as after y is z. But again, I am not too sure. Im really sorry about my answer, but I hope it will help nevertheless. Good luck!

3 0
3 years ago
Read 2 more answers
JC is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
KengaRu [80]

Answer:

Circle B has an area of 200.96 in².

Step-by-step explanation:

π = 3.14

radius of circle A = diameter of circle A/2

= 16 in/ 2 = 8 in.

Area = πr² = (3.14)(8²)

= (3.14)(64)

= 200.96 in²

5 0
3 years ago
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