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4 years ago

Find the range of the data in the box plot below.

Mathematics

1 answer:

harkovskaia [24]4 years ago

8 0

Answer:

im pretty sure its 2

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

Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)

nlexa [21]

Hello!

The equation for point-slope form is

y - b = m(x - a)

m is the slope
(a, b) is a point the line passes through

We are looking for a equation that follows this

The answer is C because a point the line goes through is (6, 2)

The answer is C

Hope this helps!

5 0

3 years ago

Read 2 more answers

Please help me to solve this.

saveliy_v [14]

Answer: C, the third answer

Step-by-step explanation:

The torso 18% and the leg 9%, so half of that.

7 0

3 years ago

Solve 3-x/2≥15 A.x ≤ -24 B.x ≤6 C.x ≥ -24 D.x ≥ -6

krek1111 [17]

What she said hope that helps

7 0

3 years ago

KonstantinChe [14]

Answer:

x=81.25, A=65, B=94, C=21

Step-by-step explanation:

corresponding angles of similar triangles are equal, hence angle measurements of A, B, and C. To solve for x, set up a ratio (60/48=x/65) and solve

6 0

4 years ago

Find the range of the data in the box plot below.​

Find the range of the data in the box plot below.