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zavuch27 [327]
3 years ago
10

A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to

the nearest tenth.

Mathematics
2 answers:
NeX [460]3 years ago
5 0

Answer:

144

Step-by-step explanation:

Readme [11.4K]3 years ago
4 0

Answer:

370.2

Step-by-step explanation:

We need to find the area of the square, and the area of the 4 semi circles and add them up.

The area of a square is given by the formula A = S², where the sides are 12. therefore:

12² = 144

4 semi circles are equivalent to 2 full circles. In order to find the area of the two circles, you can use the formula:

A = πr²   ⇒  where r is 1/2 the diameter

A = π(6)² ⇒36π *2(because its two circles)

Area of the 2 full circles it 72π ≅ 226.19

Then the area of the figure: 144+226.19

370.19 ≅ 370.2

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
skelet666 [1.2K]
Data:

<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.

From the figure:

1) Similarity => segment AB / segment BC = segment AU / segment UV

2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / 703 = (20x + 108) / 444

=> 444 (20x + 381) = 703 (20x + 108)

=> 8880x + 169164 = 14060x + 75924

=> 14060x - 8880x = 169164 - 75924

=> 5180 x = 93240

=> x = 93240 / 5180

=> x = 18

Answer: x = 18
</span>
7 0
3 years ago
Evaluate the expression: 12.6(2 – 3) + 26 - 4<br> A. – 4.6<br> B. 3.4<br> C. 21.55<br> D. 12.85
svp [43]

Answer:

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6 0
2 years ago
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7 0
3 years ago
1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al
DiKsa [7]
Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°  
Similarly,
y = m∠CAD = m∠CFD 

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°

7 0
3 years ago
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