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2 years ago

What is the measure of angle ACB

Mathematics

1 answer:

zubka84 [21]2 years ago

7 0

Answer:

Angle ACB: 28
Arc AB: 56

Explanation:
- To find AB, the angle of BOA is a central angle. And its according arc is AB. The angle is always the same as the arc as long if its a central angle.

- Angle ACB is an inscribed angle. Its according arc is AB. Whenever its an inscribed angle, its half of its arc.
56 / 2 = 28

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What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+

Georgia [21]

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

Step-by-step explanation:

First term(a) = $\frac{1}{2}$ common ratio(r) = $\frac{2}{\frac{1}{2} }$ =4

n= 12

$S_{n}=\frac{a(r^n-1)}{(r-1)}$

$S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1}$ =2796202.5

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

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3 years ago

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4 years ago

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3 years ago

Read 2 more answers

When 2 5/8 is written as an improper fraction in lowest terms, what is the numerator of the fraction?

Mama L [17]

Option E

The numerator of fraction is 21

<h3><u>Solution:</u></h3>

$2\frac{5}{8}$ is to be written as improper fraction in lowest terms

To find: numerator of fraction

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).

<em><u>To convert a mixed fraction to an improper fraction, follow these steps:</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$2\frac{5}{8} = \frac{8 \times 2 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}$

Thus the numerator of fraction is 21. Option E is correct

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4 years ago