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2 years ago

In the figure, POG is a diameter of the circle with centre O.Find x° + y°.

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

4 0

The value of x° + y° is 216°

<h3>How to determine the angles</h3>

Note that the shape is a regular pentagon

Sum of angle in a pentagon = 540

Angle on each side = 108°

x = 108°

y = 108°

x° + y° = 108 + 108

x° + y° = 216°

Thus, the value of x° + y° is 216°

Learn more about a pentagon here:

brainly.com/question/14961220

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List the given numbers from least to greatest -5, 3.14, 1/4, -3/2, 49

seraphim [82]

-3/2,-5,1/4,3.14,49 hope that helped!

8 0

3 years ago

At another theater, workers have to cut a new trap door. The door can be no more than 137 square feet in area, with whole-number

otez555 [7]

Answer:

Step-by-step explanation:

Given:

trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long

⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in

⇒ 77inches by 105 inches

⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long

⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in

⇒ 160 inches by 92 inches

⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long

⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in

⇒ 66 inches by 148 inches

⇒ 9,768 square inches

130 square feet convert to square inches.

130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches

Perimeter = 2(160 + 117)

P = 2(277)

P = 554 inches

4 0

2 years ago

Find the area of the shaded region formed by circle that touches the edges of a rectangle.

disa [49]

Answer:

$266.14 \: {cm}^{2}$

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

$= lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2}$

6 0

3 years ago

Rick has a collection of 6 video games. He lets his best friend borrow 2/6 of his video game collection. Write two fractions equ

torisob [31]

Both 2 and 6 are divisible by 2, so you would divide them by 2 and your fraction would be reduced to 1/3. You would get that answer by simply reducing the fraction.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=10%20%7Bx%7D%5E%7B2%7D%20-%206%20%3D%20144%20" id="TexFormula1" title="10 {x}^{2} - 6 = 144 "

Juli2301 [7.4K]

Answer:

$\large\boxed{x=\pm\sqrt{13}}$

Step-by-step explanation:

$10x^2-6=144\qquad\text{add 6 to both sides}\\\\10x^2=130\qquad\text{divide both sides by 10}\\\\x^2=13\to x=\pm\sqrt{13}$

5 0

3 years ago

In the figure, POG is a diameter of the circle with centre O.Find x° + y°.​

In the figure, POG is a diameter of the circle with centre O.Find x° + y°.