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3 years ago

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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Jennifer wants to convert 7.85 meters to centimeters but she does not have paper pencil or calculator describe a method she can

lilavasa [31]

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3 years ago

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Which expression is equivalent to (r^7)^6

mr_godi [17]

Answer:

r^42

Step-by-step explanation:

Just multiply the two exponents together:

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2 years ago

Find the probability that a randomly

Alina [70]

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 O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

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 (a,b) is the co-ordinate of center and r 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