In the figure, angle D measures 127° and angle A measures 75°.

Complete the equation to solve for b, the measurement of angle B.

Answer:

BD = 4.1

Step-by-step explanation:

DA is an angle bisector which also divides the opposite side of the angle it bisects in a way that it is proportional to tye other two sides.

By implication, we would have the following:

AB/BD = AC/DC

AB = 5.3

AC = 5.5

DC = 4.3

BD = ?

Plug in the values

5.3/BD = 5.5/4.3

Cross multiply

BD*5.5 = 4.3*5.3

BD*5.5 = 22.79

Divide both sides by 5.5

BD = 22.79/5.5

BD = 4.1 (to 1 decimal place)

Answer:

0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good

5/9 || 0.55

Step-by-step explanation:

Answer:

f(-4) = -1

f(-1) = -4

f(1) = 4

Step-by-step explanation:

We need to find the y value for the x values

f(-4) means find the y value for x= -4

f(-4) = -1

f(-1) = -4

f(1) = 4

Answer:

Check the image

Answer: B. p = 3n-600

Step-by-step explanation:

Profit(p) = Earned - Cost

p = 5n - (2n + 600) = 5n - 2n - 600 = 3n - 600

The equation representing the profit function of the newsstand is

p = 3n - 600

Option B is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The revenue generated by selling n magazines is 5n dollars.

The cost of selling n magazines is the sum of the cost of purchasing n magazines and the fixed cost of rent and electricity, which is $2n + $600.

Now,

The profit function can be represented by:

p = revenue - cost

= 5n - (2n + 600)

= 3n - 600

Thus,

The equation representing the profit function of the newsstand is

p = 3n - 600

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

Answer:

5√3 / 2

Step-by-step explanation:

tan 30 = ( 5 / 2 ) / y

1 / √3 = 5 / 2y

2y = 5√3

y = 5√3 / 2

Answer:

(x-4)^2=-8(y-3)

This is a parabola.

Step-by-step explanation:

Since the directrix is horizontal, the parabola faces up or down. Since the focus is below the directix it faces down. This means p will be negative in the equation (x-h)^2=4p(y-k).

p also tells us the half the distance between the focus and the directrix. The distance between 1 and 5 is 4, so p=-2.

The vertex is half way point between focus (4,1) and directrix y=5.

So the vertex is (4, [1+5]/2 )= (4 ,6/2)=(4,3). This is (h,k) in our equation.

(x-h)^2=4p(y-k)

(x-4)^2=4×-2(y-3)

(x-4)^2=-8(y-3)

Answer:

Assuming order does not matter, the probability of selecting all midsize cars is 0.000277373, or [tex]\frac{4}{14421}[/tex].

Step-by-step explanation:

First, we must find the n(Total arrangements of selections)=(8+15)C6

n(Total arrangements of selections)=23C6

n(Total arrangements of selections)=100,947

Second, we must find the n(Arrangements where all are midsize cars)=8C6

n(Arrangements where all are midsize cars)=28

To find the probability of selecting all midsize cars, we divide the n(Arrangements where all are midsize cars) by the n(Total arrangements of selections):

P(All midsize cars)= [tex]\frac{28}{100,947}[/tex]

P(All midsize cars)= [tex]\frac{4}{14421}[/tex]=0.000277373.

Answer:

"ob" is the answer of this long question

Answer:

D

Step-by-step explanation:

reason:

not A cuz the customer has to wait for a long time, and she feel waste of time

not B cus it's the store's responsiblity, not customer. if she said that, the customer would feel be disrespected. and i swear she never comes back that store.

C if she said that, customer also feel waste of time when she has to talk with Aliana who cant solve her problem

and the boss will think Ali couldnt have no problem-solving skills

Answer:

2/23

6/23

5/23

Step-by-step explanation:

60 only want chilis

20 wants both

100 only want red lobster

50 want neither

The right solution to the given question is "[tex]\frac{2}{23}[/tex]", "[tex]\frac{6}{23}[/tex]" and "[tex]\frac{5}{23}[/tex]".

According to the question,

By putting the value of "b", we get

                [tex]a = 80-20[/tex]

                [tex]a = 60[/tex]

By putting the value of "b", we get

      [tex]20+c=120[/tex]

              [tex]c = 120-20[/tex]

              [tex]c = 100[/tex]

By putting the values of "a", "b", "c" and "d", we get    

       [tex]d = 50[/tex]

(a)

P(both Chili's and Red lobster),

= [tex]\frac{b}{a+b+c+d}[/tex]

= [tex]\frac{2}{23}[/tex]

(b)

P(only chili's),

= [tex]\frac{a}{a+b+c+d}[/tex]

= [tex]\frac{6}{23}[/tex]

(c)

P(neither),

= [tex]\frac{d}{a+b+c+d}[/tex]

= [tex]\frac{5}{23}[/tex]

Learn more about probability here:

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Answer:

87.5

Step-by-step explanation:

Let the missing side be x.

28 / 35 = x / 50

4 / 7 = x / 50

4 ( x ) = 7 ( 50 )

4x = 350

x = 350 / 4

x = 87.5

Answer:

1.75dollars - the value of each chair,  10.5 dollars - the value of each table

Step-by-step explanation:

The value of chair is x, the value of table is y. Then 6chairs cost 6x, 5 tables cost 5y. 6x+5y= 63

Then the value of 2 chairs is  2x,  for 3 tables  it is equal to 3y. 2x+3y=35

We have the system of equations6x+5y= 63 and 2x+3y=35

Multiply the second one by -3

-3(2x+3y)= -3*35

-6x-9y= -105.

Plus the first equation and the second one multiplied by -3 (the right side to the right side and the left side to the left side with sign= between them)

6x+5y-6x-9y= 63-105

-4y= -42

y=10.5 dollars - the value of a table

6x+5*10.5=63

6x= 63-52.5

6x=10.5

x=1.75dollars - the value of a chair

Answer: ƒ(x) = x2(x – 1)3

Answer:

.04/n=4/100n or 4÷100n

Answer:

10% gain

Step-by-step explanation:

[P2-P1]/P1

(33-30)/30=3/30=.1 or 10% gain.

Answer:

10%

Step-by-step explanation:

→ Minus the new share from the old one

33 - 30 = 3

→ Divide the answer by the original price

3 ÷ 30 = 0.1

→ Multiply the answer by 100

0.1 × 100 = 10%

Answer:

68%

Step-by-step explanation:

6,753/100=67.53 which rounds up to 68%

Step 1: Find the area of the rectangle

A = base x height

A = 39 x 20

A = 780

Step 2: Find the area of the semi-circles

---Two semi-circles is the same as one whole circle, so I will be finding the area of one whole circle.

A = pi x r^2

A = pi x 10^2

A = 100pi = 314

Step 3: Find the area of the figure

Area = area of the rectangle - area of the semi-circles

A = 780 - 314

A = 466 cm^2

Hope this helps!

Answer:

466 cm^2

Step-by-step explanation:

This one is done basically the same as the other.

Rectangle = 20 x 39

Circle = (3.14) x 10^2

Rectangle = 780

Circle = 314

rectangle - circle

780 - 314 = 466

Answer:

c

Step-by-step explanation:

hope it helps!!!!!!!!!!!!!!

Answer:

False

Step-by-step explanation:

The point that is equidistant from the vertices of a triangle is called the circumcenter.

9514 1404 393

Answer:

  False

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.

_____

Additional comment

The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.

The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.

Answer:

19.92

Step-by-step explanation:

To overfill 5% of the time ;

The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645

Using this Zscore value with the Zscore formula :

Zscore = (x - μ) / σ

σ = 0.05 ; x = 20 ounce

Substituting into the Zscore formula :

1.645 = (20 - μ) / 0.05

1.645*0.05 = 20 - μ

0.08225 = 20 - μ

μ = 20 - 0.08225

μ = 19.91775

μ = 19.92

Answer:

150 Newtons

Step-by-step explanation:

Given

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

[tex]t = 12[/tex]

[tex]r =6.5[/tex]

[tex]\pi = 3.14[/tex]

[tex]m = 84.4[/tex]

See attachment

Required

Find F

We have:

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

Square both sides

[tex]t^2 = \frac{4\pi^2mr}{F}[/tex]

Multiply both sides by F

[tex]Ft^2 = 4\pi^2mr[/tex]

Divide both sides by [tex]t^2[/tex]

[tex]F = \frac{4\pi^2mr}{t^2}[/tex]

Substitute known values

[tex]F = \frac{4*3.14^2*84.4*6.5}{12^2}[/tex]

[tex]F = \frac{21635.90624}{144}[/tex]

[tex]F = 150.249348889[/tex]

[tex]F = 150N[/tex]

Answer:

Add 81/4 to both sides.

Step-by-step explanation:

x^2 − 9x − 8 = 0

x^2 - 9x = 8

Take the coefficient of the x term: -9

Divide by 2: -9/2

Square it: 81/4

Add 81/4 to both sides.

Answer:

x+3

---------------

(x-3)(x-2)(x-4)

Step-by-step explanation:

x+4             x^2 -16

---------------÷ -------------

x^2 - 5x+6     x+3

Copy dot flip

x+4                x+3

--------------- * -------------

x^2 - 5x+6     x^2 -16

Factor

x+4                x+3

--------------- * -------------

(x-3)(x-2)     (x-4)(x+4)

Cancel like terms

1                   x+3

--------------- * -------------

(x-3)(x-2)     (x-4)1

x+3

---------------   x cannot equal 3,2,4 -4

(x-3)(x-2)(x-4)

Answer:

The t value for 99% CI for 21 df is 2.831.

The critical value that should be used in constructing the confidence interval is (64.593, 86.407).

Step-by-step explanation:

Now the sample size is less than 30 and also population standard deviation is not known.

Then we will use t distribution to find CI

t value for 99% CI for 21 df is TINV(0.01,21)=2.831

The margin of error is [tex]E=t\times\frac{s}{\sqrt{n}}\\\\=2.831\times\frac{18.07}{\sqrt{22}}\\\\=10.907[/tex]

Hence CI is[tex]CI=\overline{x} \pm E\\\\ =75.50 \pm 10.907\\\\=(64.593,86.407 )[/tex]

Answer:

x = 9.8

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the value of y. This can be obtained as follow:

Angle θ = 45

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 45 = 6/y

0.7071 = 6/y

Cross multiply

y × 0.7071 = 6

Divide both side by 0.7071

y = 6 / 0.7071

y = 8.5

Finally, we shall determine the value of x. This can be obtained as follow:

Angle θ = 60

Opposite = 8.5

Hypothenus = x

Sine θ = Opposite /Hypothenus

Sine 60 = 8.5 / x

Cross multiply

x Sine 60 = 8.5

Divide both side by sine 60

x = 8.5 / sine 60

x = 8.5 / 0.8660

x = 9.8

Answer:

13

Step-by-step explanation:

since n is 4 substitute it where there's n in the equation

3(4)+1

12+1

13

I hope this helps

Answer:

13

Step-by-step explanation:

so you start with the equation 3n+1

since you know n=4 then u put it in place of n making the equation 3*4+1

then you multiply and it's 12+1 which equals 13

Answer:

y = -3 (you have to draw an horizontal line that passes for the point (0,-3)

Step-by-step explanation:

We have to find the middle points of the segments that unite the corrispettive points.

We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.

Segment CC‘

(y1 + y2)/2 = (-1-5)/2 = -3

Segment AA’

(0-6)/2 = -3

Segmet BB’

(1-7)/2 = -3

Segment DD’

(1-7)/2 = -3

In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.

the line is horizontal and its equation is : y = -3

Answer:

y=3x+6

Step-by-step explanation:

in a line graph, y=mx+c

m refers to gradient, c refers to y-intercept.

since lines are parallel, both lines have the same gradient.

the line intersects (1,9)

x=1,y=9

9=3(1)+c

c=6

so y=3x+6

Answer:

y = 3x+6

Step-by-step explanation:

Parallel lines have the same slope

y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)

So the slope is 3

Y = 3x+2

Using the point given substitute into the equation and solve for b

9 = 3(1)+b

9 =3+b

9-3 =b

6=b

y = 3x+6

Answer:

84.60

Step-by-step explanation:

We can write a ratio to solve

18.80             x

---------   = --------------

2 shirts    9 shirts

Using cross products

18.80 *9 = 2x

169.2 =2x

Divide each side by 2

169.2/2 =2x/2

84.60 =x