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Damm [24]
3 years ago
10

Intuitively, does it make sense that all circles are similar?

Mathematics
1 answer:
White raven [17]3 years ago
7 0

Answer:


Step-by-step explanation:

I think it does. A circle is the locus of all points that are equidistant from a fixed point (the center). The formula for a circle's circumference is C=2 pi r.

2 and pi are both constants. The only thing that changes is r and when it does C changes with it. There is no exception to similarity except if r = 0 in one case and r = anything else in another, but 0 always creates grief. So to get rid of the problem, make a condition that neither r or r1 can equal zero.

It is like saying two triangles can be declared similar if all 3 sides from one  form corresponding ratios with the second triangles sides. It is assumed that no side will equal zero.

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If x-9 is a factor of x-5x-36 what is the other factor
dimaraw [331]
The other factor would be (x + 4). We can find this by using synthetic division. To do this, we must first find the divisor, which would be 9, if we let x - 9 equal to zero and solve for x. Then, for the dividend, we can use the coefficients and constant term values. 
<u>9</u>| 1  -5  -36
<u>         9  36</u>
     1  4  0
Therefore, the other expression (x + 9) would be (x + 4). Hope this helped!
4 0
3 years ago
Read 2 more answers
Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
X + 4/5 =11 whats the value of x in simplest form
Tresset [83]
X= 11-4/5
x= 51/5 or 10.2
8 0
3 years ago
What is the factorization of the trinomial below?
mart [117]

x^3-12x^2+35x

=x (x^2 - 12x + 35)

=x(x -7)(x -5)

Answer

C. x(x - 7)(x - 5)

5 0
3 years ago
The ratio of boys to girls in Miss Smith’s class is 3 to 5. There are 15 girls in the class. What is the total number of student
pogonyaev

Answer:

9 boys

Step-by-step explanation:

15/5

=3

3*3

=9

3 0
3 years ago
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