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dybincka [34]
3 years ago
13

The diagram shows a logo made from 3 circles.

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

% area of the shaded region = 33%

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

Area of the middle circle = πr²

                                          = π(7)²

                                          = 49π

   Area of the inner circle = π(4)²

                                           = 16π

Area of the shaded region= 49π - 16π

                                            = 33π

Area of the outermost circle = π(10)²

                                               = 100π

% area of the shaded region = \frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100

                                                = \frac{33\pi }{100\pi }\times 100

                                                = 33%

Therefore, area of the shaded region is 33% of the complete logo.

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Find the equation of the line containing the point (3, 3) and parallel to the line
DIA [1.3K]

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

3 0
3 years ago
Mrs. Boggs writes the equation on the board.
Zigmanuir [339]

Answer:

(A).

Step-by-step explanation:

-8+3= -5      -8-(-3)= -5

           -5= -5

Hope this helps.

Please mark me as Brainliest. Thank You.

3 0
3 years ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
Archy [21]

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

5 0
3 years ago
On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi
Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0
3 years ago
Please answer soon!
pav-90 [236]
The figure is NOT unique.
 Imagine the following quadrilaterals:
 Rectangle
 Square
 We know that:
 Both quadrilaterals have at least two right angles.
 However, they are not unique because they depend on the lengths of their sides.
 Answer:
 
The figure described is not unique.
3 0
3 years ago
Read 2 more answers
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