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motikmotik
2 years ago
12

The circumference of a circle is 149 mm.

Mathematics
1 answer:
Kruka [31]2 years ago
3 0

Answer:

Step-by-step explanation:

The formula to find the circumference of a circle is :

C = 2 π r

Given that, the circumference of the circle is 149 mm.

First, let us find the radius of the circle.

C = 2 π r

149 = 2 × 3.14 × r

149 = 6.28r

<em>Divide both sides by 6.28.</em>

23.72 = radius

Now let us <u>find the area of the circle.</u>

The formula to find the area of the circle.

A = π r²

Let us find it now.

A = 3.14 × 23.72²

A = 3.14 × 562.6384

A = 1766.7mm²

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4 = a \times 5 \\ 4 = 5a \\  a =  \frac{4}{5}
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Answer:

x = \sqrt{1}

Step-by-step explanation:

(x + 6 )^2 = 49

get rid of the square , by square rooting the 49

x + 6 = \sqrt{49}

x = \sqrt{49} -6

x = \sqrt{1}

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therefore the answer is = or -  1

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3 years ago
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10(2^×) + 7(3^×) = 6^× + 70​
Mkey [24]

Answer:

x = 2.81 and 2.096

Step-by-step explanation:

Given the expression

10(2^x) + 7(3^x) = 6^x + 70​

This can also be expressed as;

10(2^x) + 7(3^x) = (2*3)^x + 70

10(2^x) + 7(3^x) = 2^x*3^x + 70

Let a  = 2^x and b = 3^x

10a + 7b = ab + 70

10a + 7b - ab = 70

10a-ab + 7b - 70 = 0

a(10-b)+7(b-10) = 0

a(10-b)-7(10-b) = 0

a-7 = 0 and 10-b = 0

a = 7 and b = 10

Since a = 2^x

7 = 2^x

log 7 = log2^x

log7 = xlog2

x = log7/log2

x = 2.81

Similarly

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log 10 = log 3^x

log 10 = xlog3

x = log 10/log 3

x = 1/0.4771

x = 2.096

Hence the values of x that satisfies the equation are 2.81 and 2.096

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3 years ago
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SVEN [57.7K]

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

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Answer:

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