All categories

3 years ago

4cos(10x)+2=2 What would this equal in Degrees??

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

Simplifying

4cos(10x) + 2 = 2

Remove parenthesis around (10x)

4cos * 10x + 2 = 2

Reorder the terms for easier multiplication:

4 * 10cos * x + 2 = 2

Multiply 4 * 10

40cos * x + 2 = 2

Multiply cos * x

40cosx + 2 = 2

Reorder the terms:

2 + 40cosx = 2

Add '-2' to each side of the equation.

2 + -2 + 40cosx = 2 + -2

Combine like terms: 2 + -2 = 0

0 + 40cosx = 2 + -2

40cosx = 2 + -2

Combine like terms: 2 + -2 = 0

40cosx = 0

Solving

40cosx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '40'.

cosx = 0.0

Simplifying

cosx = 0.0

The solution to this equation could not be determined.

Step-by-step explanation:

You might be interested in

25.6% of what # is 21.12

laila [671]

To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get

21.12 / b = 25.6 / 100

Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.

21.12(100)=25.6(b)

When we multiply, you get

2112 = 25.6b

Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.

82.5 = b

Therefore, 25.6% of the number 82.5 is 21.12.

7 0

3 years ago

Read 2 more answers

Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60

Pepsi [2]

Answer:

<em>B. 30 degrees</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

Hence the value of x is 30 degrees

5 0

3 years ago

Look at the image below plz correct answers Surface area of cones 15 points

monitta

Answer:

$A\approx 282.7\ m^2$

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

$a^2+b^2=c^2$

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

$a^2+b^2=c^2$

$a^2+5^2=13^2$

Simplify,

$a^2+5^2=13^2$

$a^2+25=169$

Inverse operations,

$a^2+25=169$

$a^2=144$

$a=12$

$h=12$

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

$A=\pi r(r+\sqrt{h^2+r^2})$

Where ( $\pi$ ) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

$A=\pi r(r+\sqrt{h^2+r^2})$

$A=\pi 5(5+\sqrt{12^2+5^2})$

Simplify,

$A=\pi 5(5+\sqrt{12^2+5^2})$

$A=\pi 5(5+\sqrt{144+25})$

$A=\pi 5(5+\sqrt{169})$

$A=\pi 5(5+13)$

$A=\pi 5(18)$

$A=\pi 90$

$A\approx 282.743$

3 0

3 years ago

The expression 87000(1.12)^t represents the population of a town t hears after 1996. By what percent does the population increas

Tamiku [17]

Answer:

12%

Step-by-step explanation:

Percentage increase of something is often represented in a formula of a format like this:

X=Ar^t

Where X represents the total amount after t years.

A or 87000 in this case represents the starting value, which is this case is the starting population of the town. r or 1.12 represents the percentage increase, if it increases by 12% than the next year has 1.12 times as many people as the previous year so this is represented by 1.12 rather than say 0.12 which would indicate a 88% decrease instead. t is the time, no. of years in this case, that has elapsed since 1996.

This formula basically means that a town population of 87000 increases by 12% for every year of time that elapses.

Hope this helped!

7 0

3 years ago

Read 2 more answers

If the area of a rectangle is 320 square feet and the width is 20 feet, what is the length of the rectangle?

Juli2301 [7.4K]

the length is l=16ft.

3 0

3 years ago

Read 2 more answers