c. How many sides does a regular n-gon have if one exterior angle is 12°

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Answer:

[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]

Step-by-step explanation:

According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:

[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)

Where:

[tex]i[/tex] - Index.

[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.

[tex]n[/tex] - Grade of the polynomial.

By means of algebraic handling, we have the following result:

1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given

2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result

Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

Answer:

The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".

Step-by-step explanation:

Given,

Velocity,

u = -6 m/s

Height,

h = 30 m

Now,

By using shifting of origin, we get

⇒  [tex](y-30)=-6t+\frac{1}{2}(-9.8)t^2[/tex]

       [tex]y-30=-6t-4.9t^2[/tex]

               [tex]y=30-6t-4.9t^2[/tex]

hence,

The value of y(0) is:

y(0) = [tex]30-0-0[/tex]

      = [tex]30 \ m[/tex]

The value of y'(0) is:

y'(t) = [tex]-6-9.8t[/tex]

y'(0) = [tex]-6 \ m/s^2[/tex]

Answer:

Ok

Explanation:

Answer:

She gave her stylist a 24 dollar tip.

;p

Answer:

252

Step-by-step explanation:

Answer:

Use a calculator

Step-by-step explanation:

Step-by-step explanation:

stay safe healthy and happy.

Answer:

hope this helps

Answer:

32w + 24v - 48

Step-by-step explanation:

- 8(- 4w - 3v + 6) ← multiply each term in the parenthesis by - 8

= 32w + 24v - 48

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: https://brainly.com/question/14034270

Answer:

The surface area of the parallelogram is;

2x^3 -6x^2 - 14x +24 squared centimeters

Step-by-step explanation:

To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram

We have this as follows;

(x-4)(2x^2+2x-6)

= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)

= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24

= 2x^3 +2x^2 -8x^2 -6x-8x+24

= 2x^3 -6x^2 - 14x +24

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

Answer:

B

Step-by-step explanation:

a=25

b=1/5

c=1

d=25

Answer:

74-16 square root 10

Step-by-step explanation:

area = (length)^2

= (8- square root 10)^2

= 64- 16 square root 10 + 10

=74-16 square root 10

The area of the square is  [tex]74-16\sqrt{10}[/tex] inches².

Area of square

Let x be the length of square

then area = x²

How to find the square area?

Given the side length of a square is [tex]8-\sqrt{10}[/tex]  inches.

then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]

therefore,

[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]

                 [tex]=64+10-16\sqrt{10}[/tex]

                 [tex]=74-16\sqrt{10}[/tex]

Hence the area is [tex]74-16\sqrt{10}[/tex]  inches².

Learn more about area of the square here- brainly.com/question/25092270

#SPJ2

Answer:

The answer is B.

Step-by-step explanation:

You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!

Answer:

B

Step-by-step explanation:

x*x*x=x^3 (x cubed)

x*x=x^2 (x squared)

We CAN'T add up x's here.

They're from different families.

So, B is correct:)

[tex]\huge{ \mathfrak{ \underline{ Answer }}}\: \: ✓ [/tex]

let's divide the figure into two parts :

_____________________________

Area of rectangular prism :

_____________________________

Area of triangular prism :

_____________________________

Volume of whole figure :

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

The rate of change is 25 and that means the cost per day is $25

Step-by-step explanation:

Since we have a constant rate of change, we can select any two points, apply the slope formula

The slope formula is;

m = (y2-y1)/(x2-x1)

(x1,y1) = (3,75)

(x2,y2) = (6,150)

m = (150-75)/(6-3) = 75/3 = 25

What the rate of change means here is that the cost per day is $25

Answer:

13 and 32

Step-by-step explanation:

let one number be x

Then the other number is x + 19 , then

x + x + 19 = 45

2x + 19 = 45 ( subtract 19 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

The 2 numbers are 13 and 13 + 19 = 32

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

Answer:

21 is 75% of 28

Step-by-step explanation:

75% = 0.75

28(0.75) = 21

Answer:

Step-by-step explanation:

Answer:

C ≥ 9

Step-by-step explanation:

Since they have already spent 15 dollars, and they will spend more than 23, it should at least be 24, but can also be more than 24, so C is greater than or equal to 9 :D

Answer:

1) 37 degrees

2) 39 degrees

3) 27 degrees

4) 320 degrees

5) 136 degrees

Step-by-step explanation:

1) 81-44

2)98-59

3) a square is : 90-63

4) a full circle = 360-40

5) half a circle = 180-44

Answer:

-0.4

Step-by-step explanation:

Answer:

32+24 = 56

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

[tex] \frac{x ^{100} + 1 }{x + 1} [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Answer:

4.26 * 10^-12

Step-by-step explanation:

Usibg the binomial probability relation :

P(x =x) = nCx * p^x * q^(n-x)

Probability of success = probability of not eating = 1 - 0.72 = 0.28

p = 0.28

q = 1 - p = 0.72

Probability that atleast one out of 2 chosen did not eat breakfast :

P(x ≥ 1) = p(x = 1) + p(x = 2)

P(x ≥ 1) = (100C1 * 0.28^1 * 0.72^99) + (100C2 * 0.28^2 * 0.72^98)

= 4.26 * 10^-12

Answer:

[tex] {c}^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41 [/tex]