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3 years ago

Can someone help me plz thank you

Mathematics

2 answers:

mr_godi [17]3 years ago

8 0

Answer:

the total is $43.75 your welcome

abruzzese [7]3 years ago

6 0

Answer:The answer would be 43.75 so thank you :)

Step-by-step explanation:

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Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

• Solve the trignometric equation to find a particular solution,

$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

3 0

3 years ago

The height of a certain banner is equal to one third of its length. If the banner is 5 ft tall, write the equation that can be u

pav-90 [236]

Answer:

$L=3h$

Step-by-step explanation:

Let height of a banner be $h$ , then we know that this is $\frac{1}{3}$ of the length $L$ of the banner; so we have

$h=\frac{1}{3} L$ .

Now we can rearrange this equation to solve for the length of the banner given it's height:

$L=3h$

So there we have it!

If the banner is 5 ft tall, then it's length will be:

$L=3*5=15ft$

5 0

3 years ago

Is 0.062 equal to .062

Alona [7]

yes. The zero to the left of the decimal point does not affect the overall value of the problem when removed, since it is zero.

4 0

4 years ago

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What is the answer to −9x−2 when x=−4.

Agata [3.3K]

Answer:

-72

Step-by-step explanation:

5 0

3 years ago

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Bianca is making scarves to sell. She has 33 peices of blue fabric, 37 peices of green fabric, and 41 peices of red fabric. Supp

Masja [62]

Answer:

I did my work, and I got 37 scarves. I feel really bad bc I am not 100% sure, and I hate when I am not 100% sure.

Step-by-step explanation:

For if you need to show your work:

33 pieces of blue fabric --> it can make 11 scarves exactly

37 pieces of green fabric --> it can make 12 scarves, with 1 piece of fabric left over

41 pieces of red fabric --> it can make 13 scarves, with 2 pieces of fabric left over

Left over fabric --> there are 3 pieces of fabric left over; 1 green and 2 red. This results in 1 more scarf

So lets add up our scarves: 11 scarves + 12 scarves + 13 scarves + 1 more scarf

That equals 37 scarves!

I hope this helps. Please mark brainliest, I would really appreciate it if you did

8 0

4 years ago