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Pachacha [2.7K]
2 years ago
13

Find the areas of the shaded regions.

Mathematics
1 answer:
diamong [38]2 years ago
7 0

Answer:

41.8887 cm^2

Step-by-step explanation:

area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94

120 / 360 = 1/3
153.94 / 3 = 51.3134

now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247

subtract
51.3134 - 9.4247 = 41.8887

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Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Kevin made a jewelry box with dimensions shown 5cm,10cm,15cm what is the value of the jewelry box?
zaharov [31]

Answer:

750

Step-by-step explanation:

10 times 5 times 15

3 0
3 years ago
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked P
Alona [7]

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

5 0
3 years ago
What is a membrane? because I don't know.
Finger [1]

Answer:

Wrong division to post a question of this kind, BUT a membrane is a a thin sheet of tissue or layer of cells acting as a boundary, lining, or partition in an organism,... yes I looked it up,...

Chow,...!

5 0
3 years ago
Write the formula of the function y whose graph is shown. A. Y equals 1 divided by x minus 4. B. Y equals 4 divided by the quant
aliina [53]

Answer:

Option D. Y equals 4 divided by x.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Looking a t the graph

For x=1, y=4

For x=4, y=1

For x=-1, y=-4

For x=-4, y=-1

therefore

The equation that satisfy  these values is

y=\frac{4}{x}

6 0
3 years ago
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