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3 years ago

Trigonometry

Mathematics

2 answers:

never [62]3 years ago

8 0

Answer:

3 + 2sqrt(3)/3

Step-by-step explanation:

sin(30) = ½

cosec(30) = 2

sin(60) = sqrt(3)/2

cosec(60) = 2/sqrt(3) or 2sqrt(3)/3

sin(90) = 1

cosec(90) = 1

2 + 2sqrt(3)/3 + 1

3 + 2sqrt(3)/3

quester [9]3 years ago

4 0

Answer:

$\frac{9 + 2 \sqrt{3} }{3} \\$

Step-by-step explanation:

$\cosec(30) + \cosec(60) + \cosec(90) \\ \\ = 2 + \frac{2}{ \sqrt{3} } + 1 \\ \\ = \frac{2 \sqrt{3 } + 2}{ \sqrt{3} } + 1 \\ \\ = \frac{2 \sqrt{3} + 2 + \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{3 \sqrt{3} + 2}{ \sqrt{3} } \\ \\ = \frac{3 \sqrt{3} + 2}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{9 + 2 \sqrt{3} }{3}$

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Match the information on the left with the appropriate equation on the right.

solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ will be,

$y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$

If this line passes through (-2, 3) and (-3, 4),

$y-3=\frac{(4-3)}{(-3+2)}(x+2)$

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

4 0

2 years ago

Write 4.81 x 10^5 in standard form

tia_tia [17]

481,000
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7 0

3 years ago

6 The area of a square is 32.5 square inches. Which best represents the length of one side of the square? F 32.5 -16 in. 16 . 5

laiz [17]

Answer:

The answer will be 5.701

Step-by-step explanation:

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2 years ago

In a company 70% of the workers are men. If 1590 people work for the company who arent men, how many workers are there in all?

meriva

Answer:

5300

Step-by-step explanation:

1590 people are not men so they are women

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2 years ago

Read 2 more answers

Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro

ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder. The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region. Rotated around y=-2, this slice becomes a washer. The width of this washer is dx. The outer radius is 2 − (-2) = 4. The inner radius is y − (-2) = y + 2. The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region. Rotated around y=-2, this slice becomes a cylindrical shell. The thickness of the shell is dy. The radius is y − (-2) = y + 2. The width is x − 1. The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

6 0

2 years ago