Trigonometry question (In image)

Questions :

(a) Determine the total length of the circular portions in terms of

pi. Show the work that leads to your answer.

(b) Determine the total length of wire needed, both circular and

square portions, to the nearest tenth of an inch.

G

(c) Determine the total weight of the ornament to the nearest

gram.

Answer:

12π

53.68 in

96.624g

Step-by-step explanation:

The total length of the circular portion :

Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2

Size of each circle is 3/4

Number of circles = 4

Number of complete circles :

4 × 3/4 = 3 complete circles

Perimeter of circle:

Number of circles * (2πr)

3 * 2 * π * 2 = 12π

Total wore needed :

Circular + Square

Perimeter of square = 4s

s=side length = 4

Total square 4 * 4 = 16

Perimeter of Square + perimeter of circle

16 + 12π = 16 + (12 * 3.14) = 53.68 in

Total weight of ornament :

1.8 g * perimeter

1.8 * 53.68 = 96.624g

Answer:

a.

Step-by-step explanation:

Answer:

58 inches

Step-by-step explanation:

Just did it

Answer:

( A ) p 3 x

Step-by-step explanation:

Answer: 2x and x2 are the same

Step-by-step explanation:

Answer:

angle 17 is 90°.

Step-by-step explanation:

every angle there is a right angle and a right angle is 90°.

Have a nice day! :-)

Answer:

-2 power.

Step-by-step explanation:

Answer:

[tex]\frac{-13}{15} x-52[/tex]

Step-by-step explanation:

[tex]\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52[/tex]

[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]

Combine Like Terms:

[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]

[tex]=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)[/tex]

[tex]=\frac{-13}{15}x+-52[/tex]

Therefore, [tex]\frac{-13}{15}x+-52[/tex] will be your final answer.

Answer:

1920

Step-by-step explanation:

I'm just doing it my way because it feels easier, but multiply 14 x 20 x 8 to get the volume of the entire figure.

Then we subtract that box of air which is 10 x 4 x 8.

So 14 x 20 = 280

280 x 8 = 2240

Then we find the volume of the missing part which is

10 x 4 = 40

40 x 8 = 320.

We get 2240 - 320 = 1920

Remember kids, wear your masks!

Answer:

Step-by-step explanation:

Answer: i would say 16 so b 16

Step-by-step explanation:

Answer: 15+3

Step-by-step explanation:

Answer:

24.73cm^3

Step-by-step explanation:

Answer: 112.5 cm3

Hope that helped!

Answer:

the answer is 112.5 cm3

Step-by-step explanation:

on edg

Answer: 47890000

Step-by-step explanation:

4.789*10^7=4789*10^4=4789000

Answer:

47,890,000

Step-by-step explanation:

Answer:

X = -32/11

Step-by-step explanation:

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Answer:

80,112

Step-by-step explanation:

Answer: (80, 112)

Step-by-step explanation: a p e x

Answer:

a is the answer

hope this will help you

Answer:

32 possible outcomes

Step-by-step explanation:

There are two options for each question (true or false).

Hence, according to the counting principle :

Question 1 = true or false = 2

Question 2 = true or false = 2

Question 3 = true or false = 2

Question 4 = true or false = 2

Question 5 = true or false = 2

2 * 2 * 2 * 2 * 2 = 2^5 = 32

Answer:

11 inches

Step-by-step explanation:

Perimeter of each rectangle = 33 inches

The square cake is cut in half

which means two half sides would equal one whole side.

2 × 1/2 = 1

The two "halves" in the smaller rectangle would equal one whole side + the two whole sides in the smaller rectangle

1 + 2 = 3

Each side of the original square cake = 33 inches / 3

= 11 inches

Each side of the original square cake = 11 inches

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation: .

Answer:

πr

Step-by-step explanation:

We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,

=> 2πr/2

=> πr

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Answer:

20

Step-by-step explanation:

4 x 5 = 20

Answer:

B

Step-by-step explanation:

YOu have 1 and 5 two numbers you but the 2 over the 6 and you get 2/6 simplify that and you get 1/3 which is B

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism