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3 years ago

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Mathematics

1 answer:

Temka [501]3 years ago

7 0

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

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3 years ago

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What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.

crimeas [40]

To solve this, we are going to use the surface are of a sphere formula: $A=4 \pi r^2$
where
$A$ is the surface area of the sphere
$r$ is the radius of the sphere

We know for our problem that $A=2122.64$ and $\pi =3.14$ , so lets replace those vales in our formula:
$A=4 \pi r^2$
$2122.64=4(3.14)r^2$
$2122.64=12.56r^2$
Now, we just need to solve our equation for $r$ :
$\frac{2122.64}{12.56} =r^2$
$r^2=\frac{2122.64}{12.56}$
$r^2=169$
$r=+or- \sqrt{169}$
$r=13$ or $r=13$
Since the radius of a sphere cannot be a negative number, $r=13$ .

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span> $in^2$ is 13 in.

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3 years ago

Students in a high school woodworking class wants to conduct a survey to determine the percentage of students in the school who

Karo-lina-s [1.5K]

Answer:

a) cluster sampling

Step-by-step explanation:

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In this example, simple random sampling is used to identify 12 home rooms(cluster) where a group of 20 students (participants) in each room is given the survey.

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3 years ago

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dimulka [17.4K]

Answer:

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Cube
Cylinder

Step-by-step explanation:

I know because I just did it on an assignement and it said these were the right answers.

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3 years ago

A city doubles its size every 64 year. If the population is currently 225,000, what will the population be in 128 years?

Rudiy27

Answer:

=900000

Step-by-step explanation:

the current ppl=225000

after 64 years=225000×2=450000

in the next 64 yrs(128 yrs later)=450000×2=900000

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3 years ago