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3 years ago

The length of DE (the minor arc) is 22 cm. What is the circumference of OF?

Mathematics

1 answer:

Rina8888 [55]3 years ago

8 0

Answer:

A. 528 cm

Step-by-step explanation

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20 points plzzz help asap

Agata [3.3K]

It is A I hope that helps for you

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2 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

The length of a rectangle is 5 feet and the width is x the perimeter is less than 15 feet write and solve an inequality to find

topjm [15]

Answer:

5 ft * x ft

x ≤ 3 ft

Step-by-step explanation:

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2 years ago

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Angles 4 and 5 are ….

gladu [14]

Answer:

opposite angles

Step-by-step explanation:

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2 years ago

Find the product of 21 and (6.3x10^-4)

katen-ka-za [31]

The answer would end up being 0.01323

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2 years ago