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sattari [20]
3 years ago
8

Chris is making a poster for Bike Safety Week. The diameter of circle A is 12 in. If the area of circle B is the area of circle

A, what is the area of circle B? (Use 3.14 for .)
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0
The area of A and B is the same.
The formula for getting a circus area is Area = Pie Radius Squared. The diameter is double the radius. 12 ÷ 2 = 6. Let's plug that in. 6 • 3.14 = 18.84. Square that and you get 354.9456. The are of circle B is 354.9456
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The area of the yellow region is 112 cm^2. find the value of x​
mrs_skeptik [129]
<h3>Answer:   x = 7</h3>

===========================================================

Explanation:

The largest rectangle (composed of the green and yellow sections combined) has area of 11*12 = 132 cm^2.

The yellow region takes up 112 of those 132 sq cm. This must mean the green region takes up 132-112 = 20 cm^2.

The horizontal portion of the green rectangle is 12-x cm. The vertical portion is 11-x cm. We can form the area of the green rectangle as an algebraic expression like so

area = length*width

area = (11-x)*(12-x)

area = 132 - 11x - 12x + x^2 .... apply the FOIL rule

area = x^2 - 23x + 132

Set this equal to the 20 cm^2 we found earlier.

x^2 - 23x + 132 = 20

x^2 - 23x + 132-20 = 0

x^2 - 23x + 112 = 0

We could factor or we could use the quadratic formula. I'll go with the second option.

We'll plug in a = 1, b =  -23, c = 112

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-23)\pm\sqrt{(-23)^2-4(1)(112)}}{2(1)}\\\\x = \frac{23\pm\sqrt{81}}{2}\\\\x = \frac{23\pm9}{2}\\\\x = \frac{23+9}{2}\ \text{ or } \ x = \frac{23-9}{2}\\\\x = \frac{32}{2}\ \text{ or } \ x = \frac{14}{2}\\\\x = 16\ \text{ or } \ x = 7\\\\

One of these solutions isn't feasible. Note how if x = 16, then this exceeds both the 11 cm and 12 cm sides. So this x value is not possible.

However, x = 7 is possible.

If x = 7, then the horizontal portion of the green rectangle is 12-x = 12-7 = 5 cm. Also, the vertical portion of the green rectangle would be 11-x = 11-7 = 4 cm. The area then is length*width = 5*4 = 20 cm^2 which matches up with what we got earlier. So the answer is confirmed.

7 0
3 years ago
For each of the following angles, name the angle that is congruent.
dexar [7]

Answer:

M is congruent to P, N is congruent to Q, and O is congruent to R.

Step-by-step explanation:

Congruent angles are angles with exactly the same measure.

4 0
3 years ago
$640,3%,2 years?!?! Plz explain!!
mrs_skeptik [129]
I am pretty sure it is talking about interest and $640 is what you start with, with a 3% interest for 2 years
5 0
3 years ago
_% of 50 shirts is 35 shirts
WINSTONCH [101]

Answer:

70%

Step-by-step explanation:

Because 10% of the 50 shirts would be 5. If you take 5×7 it equals 35. Therefore, the answer would be 70%

8 0
3 years ago
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Katie walked a total of 68 kilometers by making 34 trips to school. How many trips will Katie have to make in all to walk a tota
ZanzabumX [31]

Find the distance of each trip:

68 km / 34 trips = 2 km per trip

Divide total distance by distance per trip:

348 km / 2 km per trip = 174 trips

Answer: 174 trips

5 0
3 years ago
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