what is the sum of the exterior angle of a pentagon?​

Answer:

a= 3

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:

cos θ = [tex]\frac{\sqrt{11} }{6}[/tex]

Step-by-step explanation:

Substitute sin θ = [tex]\frac{5}{6}[/tex] into the identity

( [tex]\frac{5}{6}[/tex] )² + (cos θ )² = 1

[tex]\frac{25}{36}[/tex] + (cos θ )² = 1

(cos θ )² = 1 - [tex]\frac{25}{36}[/tex] = [tex]\frac{11}{36}[/tex] ( take the square root of both sides )

cos θ = [tex]\sqrt{\frac{11}{36} }[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

Answer:

100÷(20÷5)

Step-by-step explanation:

first find out how many chairs each worker made

20÷5=4

then divide 100 by 4 and that will give you 25

they would need 25 workers the equation that they should use is

100÷(20÷5)

Answer:

3.

Step-by-step explanation:

X+2=-1/4(4x-8)

x+2=-x+2

0=0

Answer: Area= the surface included within a set of lines the number of unit squares equal in measure to the surface

the scope of a concept, operation, or activity : field

areaway

Step-by-step explanation:

answer:

60 in²

step-by-step explanation:

the formula for the area of a rhombus-

a= p*q/2

=15*8/2

=60 in ²

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

see explanation

Step-by-step explanation:

The length of the arc is calculated as

AB = circumference of circle × fraction of circle

(11)

AB = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 7 × [tex]\frac{9}{36}[/tex]

     = 14π × [tex]\frac{1}{4}[/tex]

     = [tex]\frac{7}{2}[/tex] π in

(12)

AB = 2πr × [tex]\frac{135}{360}[/tex] ( r = 20 ÷ 2 = 10 )

      = 2π × 10 × [tex]\frac{3}{8}[/tex]

      = 20π × [tex]\frac{3}{8}[/tex]

      = [tex]\frac{60}{8}[/tex] π

      = [tex]\frac{15}{2}[/tex] π cm

Answer: Warsaw

Step-by-step explanation:

Warsaw is the capital and largest city of Poland. It is located on the Vistula River, in east-central Poland, roughly 260 kilometres from the Baltic Sea and 300 kilometres from the Carpathian Mountains.

Answer:

the answer is 10 days

Step-by-step explanation:

just did it

After 10 days the butternut squash grow to maximize the profit.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

let after x days butternut squash grow to maximize the profit

So, we have

Weight = 120 + 6x

Price=  0.80-.02x

We have no idea about profit, but the income is certainly

So, (120+6x)(0.80-0.02x)

= 14.4 - 2.4x + 4.8x - 0.12x²

= -0.12x² + 2.4x + 96

We get the parabola who vertex is (10, 108)

Hence, After 10 days the butternut squash grow to maximize the profit.

Learn more about equation here:

https://brainly.com/question/29538993

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Answer:

a) no solution

Step-by-step explanation:

there is no solution because absolute values can never equal a negative

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

[tex]\lim_{x \to 0^{-}} (x-1)^2=1[/tex]

[tex]\lim_{x \to 0^{+}} (x-1)^2=1[/tex]

f(0) = (0 - 1)²

     = 1

Since, [tex]\lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1[/tex]

Therefore, given function is continuous at x = 0.

Answer:

Part A

aₙ = 5 + (n - 1)·4

Part B

y = 4·x + 1

Step-by-step explanation:

Part A

The number of orange blocks in Figure 1 = 5

The number of orange blocks in Figure 2 = 9

The number of orange blocks in Figure 3 = 13

Therefore, we get;

5, 9, 13, ... with increments of 4

The first term, a = 5

The common difference, d = 4

The sequence is in the form of an Arithmetic Progression, therefore, we have;

aₙ = 5 + (n - 1)·4

Where;

n = The Figure number

When n = 3, we have;

a₃ = 5 + (3 - 1) × 4 = 12 orange blocks as in the diagram in the question

Part B

To express the number of blocks using the linear function, y = m·x + b, we have;

Let 'x', represent the number of each figure, let 'y' represent the total number of blocks in each figure, let 'd' represent the initial amount of blocks present when x = 0, and let 'm' represent the rate of  change of 'y' with each change in 'x'

We note that the rate of change the total number of blocks for each increase in figure number is 4, therefore, we have;

The rate of change, m = 4

∴ y = 4·x + d

When x = 1, y = 5, we get;

5 = 4 × 1 + d

∴ d = 5 - 4 = 1

d = 1

The linear equation that gives the number of blocks is therefore;

y = 4·x + 1.

Answer:

565.2

Step-by-step explanation:

565.2

Answer:

Step-by-step explanation:

Question 3 Reflects over x acis

Question 5 reflects over y axis

Answer:

i think 3 is reflected across the x and 5 is reflected across the y axis

Answer:

6.37× 10^ 4 is your answer

Respuesta:

Aplicando la propiedad distributiva

Explicación paso a paso:

Sin resolver la operación contenida en el paréntesis, podríamos suprimir el paréntesis usando la propiedad distributiva, de modo que el factor fuera del paréntesis se use para multiplicar cada factor entre paréntesis:

(3 + 8). 2 + 6. (5 + 4)

Sin tener que ocuparnos de la operación de suma entre paréntesis, podemos extraer ambos valores mediante

2 * 3 + 2 * 8 + 6 * 5 + 6 * 4

6 + 16 + 30 + 24

= 76

Answer:

C. 103/1/8

Step-by-step explanation:

Answer:

I think B .......................................

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

Answer:

I think it is either A or D

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Answer:

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Step-by-step explanation:

Given

Total bags of seeds [tex]= 5\frac{1}{2}[/tex]

Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds

Total weight of the grass seed  = Total number of bags of seeds * Weight of each bag

Total weight of the grass seed  =

[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Answer:

33/8= 4 1/8 so its B.

Step-by-step explanation:

Answer: Alex spent 3 5/12hours studying on Sunday

Step-by-step explanation:

total hours spent studying in the weekend  =5 2/3 hour

Hours spent on saturday =2 2/8

Hours spent on sunday  =total hours spent studying in the weekend  - Hours spent on saturday=

=5 2/3 - 2 2/8

=3 16-6/24

=3 10/24

=3 5/12