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3 years ago

5

Is 0.33 bigger than 20/60?

2 answers:

vovangra [49]3 years ago

8 0

Hello,

To compare, let's convert 20/60 to a decimal. The decimal form of 20/60 is 0.3333 repeating.

According to the conversion, 0.33 and the fraction 20/60 are equal.

Hope this helps!

May

miss Akunina [59]3 years ago

6 0

No its not,i think. Dont rely on my answer as much.

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The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).

Serjik [45]

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

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3 years ago

Evacuate the following using suitable identities (102)^3

snow_lady [41]

The value of $(102)^3$ exists 1061208.

<h3>How to estimate the value of $(102)^3$ ?</h3>

Let us rewrite $(102)^3$ as $(100+2)^3$

Now utilizing the identity $(a+b)^3=a^3+b^3+3ab(a+b)$ , we get

a = 100 and b = 2 then substitute the values of a and b then

$(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]$

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, $(102)^3=1061208$

Therefore, the value of $(102)^3$ exists 1061208.

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2 years ago

The current temperature is -7C.The high temperature yesterday was an many degrees about 0C. Which expression could be used to fi

Vinvika [58]

The answer is B because to find the distance between a number from zero you need the absolute value in the expression here it’s -7+7

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3 years ago

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

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3 years ago

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Troyanec [42]

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3 years ago

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