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2 years ago

How do I workout/find the unknown angles please

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

6 0

Answer: x = 135 degrees and y = 225 degrees.

Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.

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Factor the expression: x^6-729. Show your work Please.

Brut [27]

Answer:

(x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

Use of formulas:

a^2 - b^2 = (a + b)(a -b)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Given the expression:

x^6-729

Factoring 729

729 = 3*3*3*3*3*3 = 3^6

Factoring the expression

x^6 - 3^6 =
(x^3)^2 - (3^3)^2 =
(x^3 + 3^3)(x^3 - 3^3) =
(x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
(x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

7 0

3 years ago

a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height o

Ainat [17]

Answer:

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width , height

- The volume of any prism = Area of the base × its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length × width

∴ The volume of the rectangular prism V = length × width × height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length × width × height

- Substitute the values of the volume , the length and the width in

the equation of V

∴ 810 = 10 × 9 × h

∴ 810 = 90 × h

- Divide both sides by 90

∴ 9 = h

∴ The height of the prism is 9 meters

6 0

3 years ago

When constructing parallel lines , how can you verify the lines constructed are parallel

tamaranim1 [39]

Answer:

compare the distance between the lines at one point to the distance between the lines at another point

Step-by-step explanation:

You can construct perpendiculars at different points and compare the distance between the lines at those perpendiculars. The distance between parallel lines is the same everywhere.

8 0

3 years ago

Read 2 more answers

How can you find the surface area of a composite solid made up of prisms ? (Help)

sammy [17]

Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:

Surface area = 6 × a2

Right circular cylinder:

Surface area = 2 × pi × r2 + 2 × pi × r × h

pi = 3.14
h is the height
r is the radius

Rectangular prism:

Surface area = 2 × l × w + 2 × l × h + 2 × w × h

l is the length
w is the width
h is the height

Sphere:

Surface area = 4 × pi × r2

pi = 3.14
r is the radius

Right circular cone:

Surface area = pi × r2 + pi × r ×( √(h2 + r2))

pi = 3.14
r is the radius
h is the height
l is the slant height

Right square pyramid:

Surface area = s2 + 2 × s × l

s is the length of the base
h is the height
l is the slant height

8 0

3 years ago

From the 1,2,3,4,5 which values make the inequality n+1 > 4 true?

ELEN [110]

Answer:

yes it is

Step-by-step explanation:

hope I helped;)

4 0

3 years ago

Read 2 more answers