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
iris [78.8K]
2 years ago
11

Can someone please help me on this question! Thank you very much!!

Mathematics
2 answers:
Elis [28]2 years ago
7 0
First find the area of the triangle (on top) and then subtract the area of the circle (on bottom) since the triangle is Equilateral, you can assume that the height can be found by using the 30 60 90 angle relationship. To find the radius of the circle, divide the height by 2.

Kisachek [45]2 years ago
4 0

Answer:

(9√3 - 3π) cm²  or ≈ 6.16 cm²

Step-by-step explanation:

<em>Refer to attached pictures</em>

We have equilateral triangle with side of 6 cm and inscribed circle, we need to find the shaded area inside the triangle not covered by the circle.

The shaded are is the difference of areas of the triangle and circle

<u>Area of equilateral triangle is calculated as per formula:</u>

  • A= √3 /4 × a², where a is side of triangle
  • A= √3 /4 × 6² = 9√3 cm²

<u>Area of circle is calculated as per formula:</u>

  • A= πr², where r is the radius of circle

<u>Let's find the value of r:</u>

Δ ADB is the right triangle with angles 30° and 60°

It has sides of 3 cm, 6 cm and AD= m cm

As per attached, m is the long leg and equal to a√3, so

  • m = 3√3

also,

  • AD= AO+OD= AO +r

<u>We can find AO in the same way as above using Δ AOF</u>

AO= 2r as it is the hypotenuse and the hypotenuse is twice a short leg in the right triangle with angles 30° and 60°

So,  

  • AD= 2r+r= 3r
  • ⇒ r= AD/3 = 3√3/3= √3 cm

<u>Now we can get the area of circle:</u>

  • A= πr²= π×√3²= 3π cm²

<u>Shaded are is:</u>

  • (9√3 - 3π) cm²  or ≈ 6.16 cm²

You might be interested in
Halpppp and you get some hearts and branlists!
yaroslaw [1]

Answer:

153/20

Step-by-step explanation:

We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.

We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.

Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.

4 0
3 years ago
Eckhart school is selling candy to raise money for its sports programs . Last year the school raised $480 during a 12 day fundra
Ber [7]

Answer:

answer my question

Step-by-step explanation:

help pls!!!!!

3 0
3 years ago
Read 2 more answers
What is the quantum concept of the terminal notion of pi
GrogVix [38]
By applying the variational approach and then comparing the result to the exact solution, we can calculate the error in the approximation. That is the main and major use of Terminal notation of pi.

π/2 = [tex] \lim_{n \to \infty} π  (2j)(2j) / (2j-1)(2j+1)

Here, by this expression, we set the limits, and get the approximate error in the experiment.

Hope this helps!


<span />
5 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST THERE IS A PICTURE AT THE BOTTOM.
Kitty [74]

Answer:

72 sq. inches

Step-by-step explanation:

We are trying to find the area of the shaded part, and so we start with finding the area of the entire half that is marked (the area with measurements). The length is 8 in, as seen on the bottom, and the height is 12 in, as seen on the side. 8 * 12 = 96, so the entire portion from the shaded part to the very right is 96 sq. inches. Now we have to take out the white triangle part to find the area of the shaded part. Area of a triangle = 1/2*base * height, so we multiply 1/2 * 12 * 4, which gets us 24. Now that we know the area of the triangle, we subtract it from the previous area we got, which was the area of the shaded part plus the triangle (96). 96 - 24 = 72, so the area of the shaded portion is 72 sq. inches. Hope this helps!

5 0
3 years ago
PLEASE HURRY Write the slope-intercept form of the equation of the line through the given point with the given
Luda [366]

Answer:

y = 2/5x + 3

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Which expression is equivalent to (4 x cubed) (2 x) Superscript negative 4? StartFraction 1 Over 4 x EndFraction StartFraction 4
    9·2 answers
  • A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geomet
    13·2 answers
  • Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)
    11·1 answer
  • EMILY COLLECTED $950 SELLING GIRL SCOUT COOKIES ALL DAY SATURDAY. EMILY'S TROOP COLLECTED 10 TIMES AS MUCH AS SHE DID. HOW MUCH
    15·2 answers
  • What is the quotient of 59,584 divided 14
    6·1 answer
  • If a car travel 96 km on 8 liters of gas, how much gas will be used if the car travels a distance of 120km?
    6·1 answer
  • The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)
    8·1 answer
  • What is the circumference of a circle that has a radius of 10 centimeters if you are using 3.14 pi
    6·1 answer
  • Is n^2+50n+25 a perfect square
    15·1 answer
  • What percent of 88 is 33?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!