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Rama09 [41]
3 years ago
8

Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x.

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0
Check the picture below.

solve for "x".

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The circumference of ruby's old swimming pool is 47.1 feet. Her new swimming pool has a diameter of 21 feet. How much larger is
Alla [95]

The new pool is 18.84 feet larger in circumference than the old one.

<u>Explanation:</u>

Given:

Circumference of the pool = 47.1 feet

Diameter of the new pool, d = 21 feet

radius, r = 21/2 feet

Circumference of the new pool = ?

We know:

Circumference = 2πr

where,

r is the radius

On substituting the value:

C = 2 X 3.14 X \frac{21}{2}

C = 65.94 feet

The difference in circumference of the two pools = 65.94 - 47.1 feet

                                                                                  = 18.84 feet

Therefore, the new pool is 18.84 feet larger in circumference than the old one.

6 0
3 years ago
The following figure shows A ABC with side lengths to the nearest tenth.
xz_007 [3.2K]

Answer:

17.7

Step-by-step explanation:

angle B = 180 - 81 - 65 = 34 degrees

as the sum of all angles in any triangle is always 180 degrees.

a/sin(A) = b/sin(B) = c/sin(C)

the sides are always on the opposite side of the angle.

so,

10/sin(34) = AB/sin(81)

AB = 10×sin(81) / sin(34) = 17.7

3 0
3 years ago
Ice cream store marks up price by 16% how much of original price was 1.25
kirill115 [55]

Answer:

0.128

Step-by-step explanation:

7 0
3 years ago
The perimeter of Suzanne's rectangular garden is 40 yards. The length of the garden is 12 yards. What is the area of Suzanne's g
asambeis [7]

Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

5 0
3 years ago
Trapezoid PQRS is rotated 180 degrees about the origin to form trapezoid P'Q'R'S
kirill115 [55]

Answer:

The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

Step-by-step explanation:

3 0
3 years ago
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