Find the area of the shaded part of the trapezoid.

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]

i.e.

[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]

Hence, The height of the telephone pole = $15.046

a = 1/3 * 5/4

a = 5/16

Answer:

6 5/8

Step-by-step explanation:

Answer:

1)quotient, 2)sum, 3)difference, 4)product

Step-by-step explanation:

A quotient is always the answer to a division problem.

A product is always the answer to a multiplication problem.

A difference is always the answer to a subtraction problem.

A sum is always the answer to a addition problem.

Answer:

mm dont mind me

Step-by-step explanation:

Answer:

63.4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

because all diagonals are of the same lenght

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

[tex]x^2+2x-2703=0[/tex]

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

Answer:

19.95 %

19.95%

Hope that helps!

Step-by-step explanation:

Answer:

40, 46, 52, 58

Step-by-step explanation:

To find the next four terms, we have to find the pattern of the given terms.

We start at 10 and then go to 16.

Let's try adding 6 to each term and see what we get.

10 + 6 = 16

16 + 6 = 22

22 + 6 = 28

28 + 6 = 34

Looks like it matches the given terms.

To find the next four terms, we just have to keep adding 6 to each term.

34 + 6 = 40

40 + 6 = 46

46 + 6 = 52

52 + 6 = 58

Answer:

Salary=30(parts sold) + 700

Step-by-step explanation:

Answer:

The number of 5-inch cuts if duct tape remainding is 14.

Step-by-step explanation:

1. 96 - 22.5 = 73.5

2.  73.5/5 = 14.7

3. .7 isnt a full piece of tape, so he has 14 5inch tapes

Answer:

h(x) = f(x) + g(x)

fill in the equations

h(x) = (2x^3 + 1) + (x^2 - 4x + 3)

h(x) = 2x^3 + 1 + x^2 - 4x + 3

combine like terms

h(x) = 2x^3 + x^2 - 4x + 4

Answer:

the line is 180 so you do 180-62=118

soo the angle x is 118°

Answer:

721, 723, 725, 727, 729

Step-by-step explanation:

Have a blessed day :)

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

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

13  )1,13,13

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

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Answer:

lelelleleellelelellelellelelelrlrlelel

Answer:

72ft or 82ft

Step-by-step explanation:

It's too long for an explanation but it's defo NOT 4ft or 60ft.

Answer:

38 in

Step-by-step explanation:

Ok, so the bottom part is a rectangle and the top part is a triangle. We’re gonna split those into two different shapes.

8 * 4 = 32, this is the area of the bottom rectangle.

To get the side length of the top triangle, we have to subtract 8 from 11.

11 - 8 = 3

(3 * 4)/2 = 6, this is the area of the top triangle.

Add the two areas, 32 + 6 = 38

And that’s it, maybe, I think.

Answer:

x=2,x=4

So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.

Step-by-step explanation:

Solve for x by using cross multiplication

6=3x

x=2

12=3x

x=4

Answer:

5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Floor 48

Right and left rectangles 80

Two triangles 24

48+80+24 =152

Answer:

37318.4

Step-by-step explanation:

hope this helps

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

Answer:

2cm..................

Answer:

49

Step-by-step explanation:

i see the other answer is absolutely useless

Marble:Stone

6          :   7

    42   :   49

therefore there are 49 stones

Answer:

49

Step-by-step explanation:

42 ÷ 6 is 6

7 x 7 is 49

so its 49

Answer:

It D

Step-by-step explanation:

Answer:

   She switched the x- and y-coordinates.

   Both coordinates should be positive values.

   The x-coordinate should be 5.

✔ The y-coordinate should be -3 1/2