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
mojhsa [17]
3 years ago
15

Write a formula for r in terms of 0 based on the image below.

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

<u>Given</u>:

The arc length for the given sector is 7π

The central angle for the given sector is θ

The radius of the circle is r.

We need to determine the formula for r in terms of θ

<u>Formula for r:</u>

The formula for r in terms of θ can be determined using the arc length formula,

S=r \theta

Substituting the values, we have;

7 \pi =r \theta

Dividing both sides by θ, we get;

\frac{7 \pi}{\theta}=r

Thus, the formula for r in terms of θ is \frac{7 \pi}{\theta}

You might be interested in
PWEASE HELP ME THIS IS A STRUGGLE FOR ME
arlik [135]
I’m pretty sure it’s 56
8 0
3 years ago
Read 2 more answers
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
RUDIKE [14]

Answer:

850m^2

Step-by-step explanation:

Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!

Hope this helps!

3 0
2 years ago
Please anyone help ???? Please help me !!!!
baherus [9]

Answer:

B

Step-by-step explanation:

(1/2) * (2 x - 6) (x - 2)

is equivalent to

x^2 - 5 x + 6

4 0
3 years ago
Thisss is late pls helpppp!!
Law Incorporation [45]

Answer

36

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
    12·1 answer
  • the length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if it’s area is 114 sq
    8·2 answers
  • If a car is $27,000 and loses 15% of its value each year what will be the value in 5 years
    10·1 answer
  • Which one of These is a rational number
    9·1 answer
  • carter lives on a street where all the house numbers are multiples of 6. Name two possible house numbers between 601 and 650. ex
    5·1 answer
  • G(x) = 5 – 2x<br> What is the domain of g?
    11·2 answers
  • How does the narrative technique of characterization support the author’s purpose in this excerpt? It shows how difficult travel
    6·2 answers
  • The net of a triangular prism and its dimensions are shown in the diagram. what is the lateral surface area of the triangular pr
    10·1 answer
  • A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took t
    8·2 answers
  • London deposits $320 every month into an account earning a monthly
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!