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3 years ago

15

What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter

1 answer:

Umnica [9.8K]3 years ago

3 0

The formula of the circumference of a circle is:

C = 2 * π * r

Since r is not given, I will use all choices to find the radius. Whatever circumference corresponds to the correct radius of the problem, then it is the correct one.

a) 22.0 cm = 2 * 3.14 * r ⇒ r = 22.0 cm / 6.28 ⇒ r =   3.50 cm
b) 69.1 cm = 2 * 3.14 * r ⇒ r = 69.1 cm / 6.28 ⇒ r = 11.00 cm
c) 34.5 cm = 2 * 3.14 * r ⇒ r = 34.5 cm / 6.28 ⇒ r =   5.49 cm
d) 17.3 cm = 2 * 3.14 * r ⇒ r = 17.3 cm / 6.28 ⇒ r =   2.75 cm

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Pls help me with this!

joja [24]

Answer:

A = 78.5 cm²

Step-by-step explanation:

Area = π · radius²

if diameter is 10 then radius is 5

A = 5²·π

A = 25 × 3.14

A = 78.5 cm²

6 0

2 years ago

10°5 / 10*3*<br> I need help answering this question

Snowcat [4.5K]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

<em>Cancel the </em><em>common factor</em><em> of 10 </em>

<em>to get the </em><em>exact form</em><em> of 5/3</em>

<u>Hope this helps</u>

5 0

3 years ago

Read 2 more answers

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

7. Ben's earnings for work he did from Monday through Saturday were: $78,

Agata [3.3K]

Answer:Average daily pay =$90

Step-by-step explanation:

Step 1

Formulae

Average daily earnings = Total amount of earning from Monday through Saturday/ number of days

Step 2

Monday $78,

Tuesday $94

Wednesday $115

Thursday $108

Friday $67

Saturday $78

Total earnings for Ben = $540

Average daily pay= $540/6 ==$90

8 0

3 years ago

A study in your town found that 54 in 1,762 people have a post office box what percent of the people in town have a post office

gavmur [86]

Multiply 54 times 100 then divide by 1,762

54 times 100= 5400

5400\1,762= .03

which equals to 3%

4 0

3 years ago