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3 years ago

Find the value of x and y in the diagram below.

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

D) x=6√3, y=3√3

Step-by-step explanation:

Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3

This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3

This means that the correct answer is D) x=6√3, y=3√3

Refer to the diagram below to understand where I got these lengths.

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The circumference of a circle is 87 cm. What is the DIAMETER of the circle?

natulia [17]

Answer:

27.70

Step-by-step explanation:

you have to do 87 divided by the pi you only have to do 3.14 as the pi.

6 0

3 years ago

Micah is watching a TV program that is 2 hours long during the program there are six commercials that are each 90 sec. How many

Sergeu [11.5K]

Answer:

111 minutes

Step-by-step explanation:

step 1

Find out how long are the six commercial

Multiply the number of commercials by 90 seconds

$90(6)=540\ sec$

Convert to minutes

Remember that

$1\ min=60\ sec$

$540\ sec=540/60=9\ min$

step 2

Subtract the duration of six commercials from the duration of the program

Remember that

$1\ h=60\ min$

$2\ h=2(60)=120\ min$

therefore

$120-9=111\ min$

4 0

3 years ago

A square has a side length of (X + 8) feet long. Which expression(s) represent(s) the perimeter of the square, in square feet? S

tekilochka [14]

Answer:

D and E

Step-by-step explanation:

Perimeter = 4s

4(x + 8)

4x + 32

5 0

3 years ago

Given a polyhedron with 12 faces and 30 edges, how many vertices does it have?

larisa86 [58]

Answer:

It should have 20 vertices, and the name is dodecahedron

8 0

4 years ago

The old building at the back of the school is badly in need of repair. the company Hsa and the executive are planning to renovat

lisabon 2012 [21]

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of 1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

4 0

3 years ago