1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zaharov [31]
3 years ago
12

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the ci

rcle area A = 16π cm2 and Θ = π 3 .
Mathematics
2 answers:
nadezda [96]3 years ago
7 0
Answer: The length of the arc is: L=4π/3 cm

Length of arc: L=?
<span>
L=r Θ
</span>
Central angle: Θ=<span>π/3
Radius: r=?

Area of the circle: A=</span><span>16π cm^2

A=</span>π r^2

Replacing A=16π cm2 in the equation above:
16π cm^2=π r^2

Solving for r: Dividing both sides of the formula by π:
(16π cm^2)/π=(π r^2)/π

16 cm^2=r^2

Square root both sides of the formula:
sqrt( 16 cm^2)=sqrt(r^2)
4 cm=r
r=4 cm

L=r Θ
L=(4 cm)π/3
L=4π/3 cm
REY [17]3 years ago
4 0

Answer:

4π/3 cm

Step-by-step explanation:

You might be interested in
What is the equation for the line that contains the points (-5 , 2) and (3 , 7)?
baherus [9]

Answer:

y=\frac{5}{8} x+\frac{41}{8}

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
How do I solve this?
Artemon [7]

a^2 - b^2 = (a + b)(a - b)

In this case

49x^4y^2 - 4z^2

= (7x^2y)^2 - (2z)^2

= (7x^2y + 2z)(7x^2y - 2z)

Factors are (7x^2y + 2z) and (7x^2y - 2z)

Answer:

D) 7x^2y + 2z

8 0
2 years ago
The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to
atroni [7]

Answer:

26.2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A website had 826, 140 hits last month what is the value of the 8 in 826,140
Angelina_Jolie [31]

800,000 or eight hundred thousand.

<h3>Further explanation</h3>

<u>Problem:</u> The given number is 826,140.

<u>Question:</u> What is the value of the digit 8?

<u>The Process:</u>

This is a problem with place value.

Let us set the place values from 826,140 consecutively as follows.

  • In the thousands period: 8 hundred thousands, 2 ten thousands, 6 one thousands.
  • In the units period: 1 hundreds 4 tens 0 ones.

Let us say in word form: eight hundred twenty-six thousand six hundred forty.

Hence, the value of the 8 in the numbers 826,140 is 800,000 or eight hundred thousand.

- - - - - - -

<u>Extra:</u>

What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.

- - - - - - -

<u>Notes:</u>

Recall that the digits in large numbers are in groups of three places, i.e.,

  • hundreds,
  • tens, and
  • ones (or units).

The groups are called periods, i.e.,

  • millions period
  • thousands period
  • ones or units period

Commas are typically used to separate the periods.

<h3>Learn more</h3>
  1. Some similar problems brainly.com/question/106975  and brainly.com/question/547255
  2. What 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: a website had 826,140 hits last month, what is the value of the 8, digit, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value

3 0
3 years ago
Read 2 more answers
how do I set up this word problem: I have 88 pieces of gum, I gave 4 pieces each to all my class mates, I have 8 pieces left, ho
NeTakaya
There are 20 people in the class room.

One way I set this word problem up is by using the equation 88-4x=8. X would stand for the amount of classmates in the class, 88 would stand for your total pieces of gum and 8 would stand for the remaining pieces left.

With the equation 88-4x=8 you want to subtract 88 from both sides to get the equation -4x=-80. Last you want to isolate x by dividing -4 on both sides to finally get x=20. 20 people in the class room.
3 0
3 years ago
Other questions:
  • What is 14 2/3 divided by 2 3/4
    8·2 answers
  • The volume of a sphere
    12·1 answer
  • Help please?!?!?!?!?!?!
    13·1 answer
  • Solve for x. x^2 - 2x + 1 = 0x 2 −2x+1=0
    14·2 answers
  • 8. Round the number to the nearest hundredens.<br> 45.086
    5·2 answers
  • If two polygons are similar then the corresponding sides must be?
    15·2 answers
  • Approximate 278 to the nearest tenth.<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B278%7D%20" id="TexFormula1" title=" \sqr
    15·1 answer
  • Goku vs naruto you better not lie this isnt a opinion this is fact
    14·2 answers
  • Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered th
    7·1 answer
  • A house has increased in value by 32% since it was purchased. If the current value is $429000, what was the value when it was pu
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!