A regular pentagon has a perimeter of 60 cm.

A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.

What is the measure of angle CBD?

°

What is the length of segment CD?

cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?


What is the approximate length of BC?

cm

What is the approximate length of BD?

cm

Answer:

C = 12π or 37.7

Step-by-step explanation:

A = πr²

36π = πr²

π's get divided out and you are left with:

r² = 36

if you take the square root of 'r' it will equal the square root of 36, which is 6

C = 2πr

C = 2π(6)

C = 12π or 37.7

Answer

the answer is 12*sqrt pi

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

Answer:

k = 3

Step-by-step explanation:

Parent function is f(x) = [tex]0.25^{x}[/tex]

As shown in the graph, function 'f' has been shifted 3 units upwards to form an image function 'g'.

If the given function is shifted 3 units upwards, equation of the new function will be,

g(x) = [tex]0.25^{x}+3[/tex]

Therefore, the value of k will be,

k = 3

Answer:

Step-by-step explanation:

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

z  at  0 = .5

z at  1 = 0.841344746

(look these up in a Z table)

probability "between" = 0.841344746 - .5 = 0.3841344746

0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that  fish commission states that the mean length of all fish in spring run is mean =15cm

the standard deviation of variance=4cm,

We need to find  the probability that a fish is caught in spring run :between 15cm and 19cm

The z score formula is z=x-µ/σ

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

From the table of z values we get

z  at  0 is 0.5

z at  1 is 0.841344746

probability between 0.841344746 -0 .5 is 0.3841344746

Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

To learn more on Statistics click:

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Answer:

Step-by-step explanation:

c

Answer:

y = 4x - 9

Step-by-step explanation:

y = 4x + b

-1 = 4(2) + b

-1 = 8 + b

-9 = b

Answer:

ans: x= 11/4 and y= 11/8

Step-by-step explanation:

4x=6y=6 mean

4x= 6 and 6y= 6 so, 6-6=0 i.e

4x - 6y = 0 say equation ....1

and given

2x + 5y = 11 say equation ....2

to solve by eliminating methods,

multiply equation....2 by 2 and subtract from ....1

i.e

4x - 6y =0

4x + 10y= 22

(-) (-) (-)

0+ (-)16y = - 22

y = -22/-16

y = 11/ 8

to get , x put y in either equation 1 or 2

I.e x= 11/4

this value of x and y satisfy both equations

Answer:

the coefficient of x is 2/3 which is the constant.

Answer:

-3

Step-by-step explanation:

You need to substract 6 to get the next term.

I HOPE THIS HELPS :)

Answer:

-3

Step-by-step explanation:

21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius  =21cm

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

c

Step-by-step explanation:

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]

= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3} }[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{35-20\sqrt{3}+14\sqrt{3}-24 }{49-28\sqrt{3}+28\sqrt{3}-48 }[/tex]

= [tex]\frac{11-6\sqrt{3} }{1}[/tex]

= 11 - 6[tex]\sqrt{3}[/tex]

with a = 11 and b = 6

Given:

The equation of a line is:

[tex]y=-\dfrac{5}{7}x+2[/tex]

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=-\dfrac{5}{7}x+2[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{5}{7}[/tex]

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{5}{7}\times m_2=-1[/tex]

[tex]m_2=\dfrac{7}{5}[/tex]

Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:

[tex]y-y_1=m_2(x-x_1)[/tex]

[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]

[tex]y+3=\dfrac{7}{5}(x+5)[/tex]

Using distributive property, we get

[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]

[tex]y+3=\dfrac{7}{5}x+7[/tex]

[tex]y=\dfrac{7}{5}x+7-3[/tex]

[tex]y=\dfrac{7}{5}x+4[/tex]

Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

Answer:

x = 9

Step-by-step explanation:

square each side first to get:

8x - 8 = 64

8x = 72

x = 9

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

{(2, 3), (3, 4), (6, 2), (7, 3)}

Step-by-step explanation:

{(2, 3), (3, 4), (6, 2), (7, 3)}

this solution has different domain values : 2, 3, 6, 7

Answer:

my previous account deleted...how r u sadie??

Answer:

just look at the constant terms...

A: 5

B: 7

C: -5

1) 11-6 = 5 thus answer A

2) -3 -2 = -5 thus answer C

3) -5 - (12) = -5 + 12 = 7 thus answer B

Step-by-step explanation:

Step-by-step explanation:

the answer is In photo above

Answer:

The number of units sell is 2.

Step-by-step explanation:

selling cost of one unit = $ 0.9

Monthly expense = $ 0.9

Manufacturing cost = $ 0.3

Let the number of unit sell is x.

So,

0.9 x = 0.9 + 0.3 x

0.6 x = 0.9

x = 1.5

So, the number of units sell to get no loss is 2.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph is not given.

The general step to calculate slope and y intercept is as follows;

Assume any two points on the graph are:

[tex](x_1,y_1) = (5,1)[/tex]

[tex](x_2,y_2) = (1,4)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 -1}{1-5}[/tex]

[tex]m = \frac{3}{-4}[/tex]

[tex]m = -\frac{3}{4}[/tex]

The equation of the graph is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{3}{4}(x - 5) + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15}{4} + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15+4}{4}[/tex]

[tex]y = -\frac{3}{4}x +\frac{19}{4}[/tex]

To calculate the y intercept; set [tex]x = 0[/tex]

[tex]y = -\frac{3}{4}*0 +\frac{19}{4}[/tex]

[tex]y = \frac{19}{4}[/tex] ---- y intercept

Answer:

6

Step-by-step explanation:

So here are the numbers that are factors of 34 and multiples of 7

1,2,14,17,56,91

So count the numbers, 6. And that's ur answer, believe me

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.