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Travka [436]
2 years ago
15

Find all solutions of the equation in the interval [0, 2pi); sqrt(3) * csc(theta) - 2 = 0

Mathematics
1 answer:
kiruha [24]2 years ago
8 0

Answer:

Step-by-step explanation:

You might be interested in
How can you find 5% of any number using mental math?
Kryger [21]

Answer:

Step-by-step explanation:

I'm not sure my way is going to be any quicker or better. Let's take an example.

Suppose you start with 456

Put a decimal at the end of the 6.   You get 456.

Shift the decimal to the left one place           45.6

Divide by 2

22.8 (done mentally)

Note: dividing by 2 is easier than dividing by 5. Or multiplying by 5 for that matter.

Check the result.

456 * 5/100 =2280 / 100.

Shift a decimal 2 places to the left.

22.80 which agrees with your result.

8 0
3 years ago
Read 2 more answers
A line passes through (2,8) and (4,12) which equation best represents the line
Dmitry [639]

Answer:

y=2x+4

Step-by-step explanation:\solving for the slope you get (12-8)/(4-2)=4/2=2

solving for the y intercept you subtract 4 from 8 because 2*2 is 4 and (2,8) is 2 x values away from the y intercept so 8-4=4 so the y intercept is 4

so y=2x+4

4 0
3 years ago
Read 2 more answers
Suzanne is 64 inches tall what is the height in feet and inches
sweet [91]

Answer: 5'4".


Step-by-step explanation: Simply divide 64 by 12, resulting in 5.333. 4÷12 is .333, meaning the remaining inches is 4.


7 0
3 years ago
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

8 0
2 years ago
The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation
Andrej [43]
The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius

given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36

Answer: (x+5)^2+(y-4)^2=36
6 0
2 years ago
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