a shop is recording the queuing time of its customers and produces the cumulative frequency graph shown below.
a) how many customers queued for more than 20 minutes?
b) Find the median queuing time .

Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

The angle at which the ladder is leaning is 62.18°.

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]

The figure below shows the relationship between the sides.

⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]

⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]

⇒ θ = [tex]62.18[/tex]

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

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Answer:

The value is 24

Step-by-step explanation:

We want to find the value of the given expression when x = 5

Simply substitute 5 into the given expression.

Thus, we have;

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Any part of the expression with 5-5 will be zero and will cancel out

Thus, we have

4(3)(2) = 4 * 3 * 2 = 24

The required value of equation at x = 5 is 24.

Given ;

Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)  

We have to calculate the value of expression when x = 5

To solve the equation substitute x = 5 in the given equation

= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)

= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify the equation

= 4(3)(2) + 7(3)(0) - 6(2)(0)

= 4.(6) + 7(0) - 6(0)

= 24 + 0 - 0

= 24

The required value of the equation at x = 5 is 24.

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Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

6

x

)

=

ln

(

66

)

Expand

ln

(

6

x

)

by moving

x

outside the logarithm.

x

ln

(

6

)

=

ln

(

66

)

Divide each term by

ln

(

6

)

and simplify.

Tap for more steps...

x

=

ln

(

66

)

ln

(

6

)

The result can be shown in multiple forms.

Exact Form:

x

=

ln

(

66

)

ln

(

6

)

Decimal Form:

x

=

2.33829083

…

Answer:

X=19

Step-by-step explanation:

A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.

Answer:

A function that changes the same way can be a linear function.

y = a*x + b.

Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.

for example, suppose that when x = x0, we have y = y0

y0 = a*x0 + b.

Now x0 increases by one unit, to (x0 + 1)

y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.

Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.

Now, we can define the rate of change of a function as it's derivate with respect to some variable.

In this case, if we derive with respect to x, we have:

y' = a

Then the rate of change is constant.

Answer:

x=5.45

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

Exact form: 60/11

Decimal form: 5.45

Mixed form: 5 5/11

Hope it answers your question

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

The value of x is "5".

[tex]|-2x|=10[/tex]

x=?

[tex]\to |-2x|=10\\\\\to 2x=10\\\\\to x=\frac{10}{2}\\\\\to x= 5[/tex]

Therefore, the final answer is "5".

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Answer:

(3,1)

Step-by-step explanation:

Answer: scale factor = 1.5

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}[/tex]

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

[tex]\text{For similar triangles, Corresponding sides are proportional.}[/tex]

AB is corresponds DE (longest side of both triangles)

So, [tex]\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5[/tex]

Hence, the scale factor = 1.5.

Answer:

Step-by-step explanation:

24g-20-3g+4

21g-20+4

21g-16

g=.76

Answer:

Step-by-step explanation:

it is 21g-24

Answer:

Step-by-step explanation:

A 8.0

Answer:

90°

Step-by-step explanation:

Answer:

y= -4

Step-by-step explanation:

-3y + 5x = 26

  0y -5x = -14  

____________

    -3y = 12

       y = -4

Answer:

7200

Step-by-step explanation:

I'm not going to explain but i will say that you should multiply 300x 24 to get you answer  

Answer:

[tex]y= 100x +300[/tex]

[tex]x=[/tex] How many months

Step-by-step explanation:

In this equation a

We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.

Hope this helps!!

Answer:

Step-by-step explanation:

10 actual miles 2 cm 120 actual miles

Answer:

8

Step-by-step explanation:

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

Answer:

v = -35/25      or      -1   11/24  

Step-by-step explanation:

First, isolate the variable. We should add 1/2 on both sides of the equation to get 4/5v = -7/6. Then we divide 4/5 on both sides to get v = -35/24!

hope this helped!! <3

HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.

Angle HQG

Answer:

y=x-2.5

Step-by-step explanation:

If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

D because it is the only one that is unpredictable

[tex]\large\boxed{\textsf{False.}}[/tex]

[tex]\Large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 angles that form a straight angle.}[/tex]

[tex]\textsf{Straight angles are equal to 180}^{\circ}.[/tex]

[tex]\textsf{Complementary angles are 2 angles that form a right angle.}[/tex]

[tex]\textsf{Right angles are equal to 90}^{\circ}.[/tex]

[tex]\textsf{Because Linear Pairs are equal to 180}^{\circ}, \textsf{Linear Pairs are Supplementary.}[/tex]

[tex]\textsf{For this problem, if linear pairs are complementary, the other 2 angles will be 90}^{\circ}?[/tex]

[tex]\textsf{False, assuming we are referring to angles that add up to 360}^{\circ}.[/tex]

[tex]\textsf{The angles would add up to 270}^{\circ} \ \textsf{instead.}[/tex]

Step-by-step explanation:

explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

Answer:

Choice 2 and 4

Step-by-step explanation:

3x-1>2

+1 +1

3x>3

x>1

8-4x<4

-8 -8

-4x<-4

x>1

The required equation of the line is given as y =1/4x -17/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

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Answer:

Step-by-step explanation:

5-2x+16=6x+7

-2x-6x=7-5-16

-8x=-28

x=28/8=14/4=7/2=3.5

will be nice if you give me brainlies.Good luck!

Answer:

92

Step-by-step explanation:

Given

2n + t² ← substitute n = - 4 and t = - 10 into the expression

= 2(- 4) + (- 10)² = - 8 + 100 = 92

Answer: -28

Step-by-step explanation: 2x-4=-8 and -10x2=-20    -8+-20=-28

pls mark brainiest thanks

Answer:

7

Step-by-step explanation: