what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?

[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

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Answer:

48.5 ft

Step-by-step explanation:

Answer:

24 boards

Step-by-step explanation:

The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.

If the fence is 150 inches long, then there will be a certain number of wooden boards required.

Now, 1 wooden board is equivalent to 6.25 inches.

Then the  number of wooden boards required to cover 150 ft. will be

Answer:

24

Step-by-step explanation:

150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.

Answer:

Slope: 3/2

Y-Intercept: 3

Step-by-step explanation:

The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).

The Y Intercept is 3

The slope is found using the slope formula of y2-y1/x2-x1

Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)

Lets Solve!

3- 0 = 3

0-(-2) = 2

3/2 is the slope

So the formula is Y = 3/2 + 3

Answer:

Four thousand six hundred fifty one point nine three

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Start out by simplifying the distributive property on the left hand side.

[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Combine like terms on the left hand side.

[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

Simplify the left hand side.

[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]

Subtract 2 both sides.

[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]

[tex]\implies-10 =\dfrac{-5x}{4}[/tex]

Use cross multiplication.

[tex]\implies-10 \times 4 =-5x[/tex]

[tex]\implies-40 =-5x[/tex]

Divide -5 both sides.

[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]

[tex]\implies 8=x[/tex]

Thus, the value of x is 8.

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]

Multiply both sides by 3:

[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]

Multiply both sides by 4:

[tex]\implies -8(x+12)+8x=-15x+24[/tex]

Expand brackets:

[tex]\implies -8x-96+8x=-15x+24[/tex]

Combine like terms:

[tex]\implies -96=-15x+24[/tex]

Add 15x to both sides:

[tex]\implies 15x-96=24[/tex]

Add 96 to both sides:

[tex]\implies 15x=120[/tex]

Divide both sides by 15:

[tex]\implies x=8[/tex]

Answer:

2/81

Step-by-step explanation:

Firstly find out the common ratio.

And then the general term.

And at last you can find any term(7th term in this case).

The 7th term of the sequence will be 13122.

We have the following sequence -

18, 6, 2 ...

The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.

a[7] = 18 x 3⁶

a[7] = 18 x 9 x 9 x 9

a[7] = 13122

Therefore, the 7th term of the sequence will be 13122.

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Answer:

d

Step-by-step explanation:

$3,000 in an account that earns 4% compound interest after 6 years.

[tex]p = 3000[/tex]

[tex]r = 4[/tex]

[tex]t = 6years[/tex]

[tex]interest = \frac{prt}{100} [/tex]

[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]

[tex] = 720[/tex]

therefore, $720 is the current amount of interest.

Answer:

  u = v = 14

Step-by-step explanation:

The ratios of side lengths in a 45-45-90 triangle are ...

  1 : 1 : √2

Here, the long side is 14√2, so is 14 times this basic ratio.

  1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2

This means ...

  u = v = 14

Answer:

Below in bold.

Step-by-step explanation:

The ratio of the sides in a 45-45-90 are 1:1:√2.

so V / 14√2 = 1 / √2

V = 14√2 / √2 = 14.

and U = V = 14 also.

The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively

Composite shapes are the combination of two or more shapes combined together.

The composite shape given is made up of a hemisphere and a cone

Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)

Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)

Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³

Hence the volume of the composite shape is 575.6cm³

Calculate the surface area

Surface area = πr(r+l) + 3π r²

Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm

Hence the surface area of the composite figure is 518.1 square cm

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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Answer:

Step-by-step explanation:

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

What is the Volume of a Cylinder?

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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Answer:

2:4 3:6 and 8:2, and 4:1 are equivalent pairs of ratios.

2 : 4 and 3 : 6 are an equivalent pair of ratios.

( to find equivalent ratios just multiply or divide both quantities by the same number. )

The total number of children tickets sold on the particular day is; 13750.

It follows from the task content that;

On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.

Upon solving the equation simultaneously, x=13750.

Hence, the total number of children tickets sold is; 13750.

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Answer:

13,750

Step-by-step explanation:

Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)

and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this

1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750

-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250



so the missing matrix is

(13,750 11,250)

so the number of childrens tickets sold is 13,750

Answer:

The cost of one T-shirt is £4

The cost of a hat is £1

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

2√13

Step-by-step explanation:

15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.

Answer:

Step-by-step explanation:

The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7

The height of the right triangle is 4 so now you have enought to solve for x

Givens

a = 7

b = 4

c = x

Equation

x^2 = b^2 + a^2

Solution

x^2 = 7^2 + 4^2

x^2 = 49 + 16

x^2 = 65               Take the square root of both sides

√x^2 = √65

Answer x = √65

Answer:

the answer is C. 0.26

Step-by-step explanation:

Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0

So you subtract 1.0 from 0.74 to get 0.26

Answer:

#1 20

#2 17

#3 14

#4 14

#5 12

#6 14

#7 10

#8. 20

#9. 20

Step-by-step explanation:

1 12+8=20

2 10+7=17

3 8+6=14

4 8+6=14

5 10+2=12

6. 8+6=14

7 4+6=10

8. 12+8=20

9 14+6=20

Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok

Answer:

  x = 13√3

  y = 13

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

In order to make the long sides match, we need to multiply these by 13:

  1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26

Matching values, we find ...

  x = 13√3

  y = 13

Answer:

the last answer is -1 :))))))

I know that answer

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Answer:

Step-by-step explanation:

Answer:

  200

Step-by-step explanation:

Of the apartments in the building, 20% are singles and 70% of those do not have balconies.

That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means

  0.14A = 28

  A = 200 . . . . . divide by 0.14

There are 200 apartments in the building.

Answer:

105 Bowls

Step-by-step explanation:

6.825 ÷ 0.065 = 105 Bowls

Answer:

9

Step-by-step explanation:

Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9

Answer:

distance: 9 units

Explanation:

[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here coordinates : (-6, 4), (3, 4)

substitute the following values and put into the equation

[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]

[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]

[tex]\sf \rightarrow \sqrt{81}[/tex]

[tex]\sf \rightarrow 9[/tex]

Answer:

62.5 J

Step-by-step explanation:

Formula

Given :

Solving

The work done with the given force and distance is 62.5 Newton meter.

The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.

Given that, force = 25 N weight and distance = 2.5 meters

We know that, work = Force×Distance

Here, work = 25×2.5

= 62.5 Newton meter

Therefore, the work done is 62.5 Newton meter.

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