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3 years ago

What are the factor pairs for 60

2 answers:

7 0

The factor pairs of 60 are 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10. The product of each of these number pairs is 60.

goldenfox [79]3 years ago

7 0

These are all the factor pairs: 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10.

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The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3. What is the first term?

goblinko [34]

Answer:

Step-by-step explanation:

let the terms be a,ar,ar²

r=2/3

a+a(2/3)+a(2/3)²=171

multiply by 9

9a+6a+4a=171×9

19 a=171×9

a=(171×9)/(19)

a=9×9=81

6 0

2 years ago

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What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

$x^{2} + y^{2}+8x-6y+21=0$

The general equation of the circle is:

$x^{2} + y^{2}+2gx+2fy+c=0$

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

$radius=\sqrt{g^{2} +f^{2} -c }$

Using these values of the given circle, we get:

$radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2$

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3 years ago

2V2 km 2 km X A) 2V5 km C) 2 km B) 2V3 km D) 4 km HELP PLEASEE

Rasek [7]

Answer:

$x=2\sqrt3\ km$

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

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We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

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So, the value of x is equal to $2\sqrt3\ km$ .

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Tanya [424]

The measures of the angles of a triangle add to 180.

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Using AA triangle similarity, any triangle with the same angle measures will be similar.

From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.

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ycow [4]

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2 years ago

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