y = 3csc 20

What is the period?

Answer:

5

Step-by-step explanation:

The quotient of 149 divided by 33 is 4.51.

The quotient is the number that is generated when we perform division operations on two numbers.

The given fraction is;

[tex]\dfrac{149}{33}[/tex]

The quotient of 149 divided by 33 is given by;

[tex]=\dfrac{149}{33}\\\\= 4.51[/tex]

Hence, the quotient of 149 divided by 33 is 4.51.

Learn more about quotient here;

https://brainly.com/question/21416852

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Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c.  (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

Answer:

either 17.5 or 10

Step-by-step explanation:

if you minus 40 3 times you get 17.5

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

Answer:

4x⁶(1+2x²)²

Step-by-step explanation:

Factor out the common term 2x³

Use Multiplication Distributive Property: (xy)^a=x^a y^a

Simplify 2² to 4

The use the power rule and you get 4x⁶(1+2x²)²

Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees

Answer:

Step-by-step explanation:

x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )

2x + 90° = 180°

2x = 90°

x = 45

now

<A = 45°

< B = x + 65° = 45 °+ 65 °= 110°

< C = 25°

Hope it helps :)

Answer:

6.45 cm by 1.8 cm

Step-by-step explanation:

Ratio of label to actual measurement ; 2 : 3

For a flyer label size of 4.3

Actual label size equals :

(Flyer ratio / total ratio) * total size = flyer size

2/5 * x = 4.3

2x / 5 = 4.3

2x = 21.5

x = 21.5 / 2

x = 10.75

Actual size =. 10.75 - 4.3 = 6.45 cm

2/5 * x = 1.2

2x / 5 = 1.2

2x = 6

x = 6 / 2

x = 3

Actual size = 3 - 1.2 = 1.8 cm

6.45 cm by 1.8 cm

Answer:

67.5

67.5

40

Answer:

x = 22.5

top angle = 45

bottom angles = 67.5

Step-by-step explanation:

2x + 3x +3x = 180

8x = 180

x = 22.5

2x

2(22.5) = 45

3x

3(22.5) = 67.5

45 + 67.5 + 67.5 = 180

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

Answer: 264

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{7}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 7[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = [tex]\frac{7\sqrt{3} }{3}[/tex] → D

Answer:

Step-by-step explanation:

[tex]y^2=10-x^2\\ \\ 0=10-\sqrt{10}^2\\ \\ 0=10-10\\ \\ 0=0\\ \\ (\sqrt{10},\ 0)[/tex]

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

6

Step-by-step explanation:

add the two exponents

Answer:

Step-by-step explanation:

Add all the powers of the term.

4 + 2 = 6

Degree = 6

Answer:

1,873,000

Step-by-step explanation:

Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.

Step-by-step explanation:Have a great day

Answer: it would be the "=" sign

Step-by-step explanation: this is because 2/3 and 6/9 are equivalent fractions. you want to find the greatest common factor between 6 and 9 which is 3. you multiply that by the numerator and denominator. therefore, the symbol that compares these mixed numbers is "=".

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

Monkey says NO

Step-by-step explanation:

It was close, but banana was 1.7 banana short. sorry for your loss.

Answer:

i think

-17x^2 +3x

.....

Answer:

1/5

Step-by-step explanation:

That'll be one brainliest

Answer: 1/5

Step-by-step explanation:

You have to divide the numerator and the denominator by the GCF ( greatest common factor) of 11 and 55. 11 is the GCF of 11 and 55 so 11÷11=1 and 55÷11=5

Hope this helps :)

Answer:

It's 230 feet squared! (aka B)

Step-by-step explanation:

I just took the test :)

Answer:

B.) 230 feet squared.

Step-by-step explanation:

I hope this helps!! :)

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B