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Zepler [3.9K]
3 years ago
6

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 2.5?

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

300 cm

Step-by-step explanation:

8 x 2.5 = 20

6 x 2.5 = 15

20 x 15 = 300 cm²

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Which expression is equivalent to<br> (r^7)^6
mr_godi [17]

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r^42

Step-by-step explanation:

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(r^7)^6 = r^42

4 0
2 years ago
Find the probability that a randomly
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Answer:

31.8\%

Step-by-step explanation:

The area of the circle is A=\pi r^2=\pi(4)^2=16\pi

The area of the triangle is A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is \frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%

6 0
2 years ago
The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
2 years ago
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