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Ierofanga [76]
4 years ago
5

What is the area of the window shown? Use 3.14 for pi.

Mathematics
1 answer:
Darya [45]4 years ago
5 0

Answer:

The answer to your question is 2236.68 in²

Step-by-step explanation:

Data

Base = 36 in

height = 48 in

radius = 36/2 = 18 in

π = 3.14

Process

1.- Calculate the area of the rectangle

Area = base x height

-Substitution

Area = 36 x 48

-Result

Area = 1728 in²

2.- Calculate the area of the semicircle

Area = πr²/2

-Substitution

Area = (3.14)(18)²/2

-Simplification

Area = (3.14)(324)/2

-Result

Area = 508.68

3.- Total area

Area = 1728 + 508.68

         = 2236.68 in²

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A4(3a2 - 2a + 1)<br> What’s the product
guajiro [1.7K]

The answer is

3a^6 - 2a^5 + a^4

6 0
3 years ago
ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
A rectangle has an area 18sq cm.id its length and width are wjole numbera.what is its greatest possible perimeter
makkiz [27]

Answer:

38cm

Step-by-step explanation:

1. The perimeter of a square can be found with the formula2 \times (width + length)

2. Since its length and width are whole numbers, it must be either

1 x 18,

2 x 9 or

3 x 6

3. Using the formula in step 1, we can found that the perimeter in these cases are

38

22

18

respectively

4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.

3 0
3 years ago
one night a theater sold 548 movie tickets. an adult’s costs $6.50 an child’s cost $3.50. in all, $2,881 was takin in. how many
gavmur [86]

Answer:

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Step-by-step explanation:

This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...

  6.50x +3.50(548-x) = 2881

  3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms

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  x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3

  548-x = 548 -321 = 227 . . . . . .number of child tickets

321 adult tickets and 227 child tickets were sold.

3 0
3 years ago
Find the vertex.<br> f(x) = x2 + 3
Musya8 [376]

Answer:

(0,3)

Step-by-step explanation:

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