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
kifflom [539]
3 years ago
11

Find the diameter of a semicircle with an area of 76.97 square yards

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0
Circle Area = PI*r^2
Semi Circle Area = (PI*r^2)/2
76.97 = (PI*r^2)/2
76.97 * 2 / PI = radius^2
radius^2 = 76.97 * 2 / PI
radius^2 = 153.94 / PI
radius^2 = 49
radius = 7
Diameter = 14 yards


Neporo4naja [7]3 years ago
3 0

Answer:

14 yards

Step-by-step explanation:

The area of a semi circle is given by:

A = \frac{1}{2} \pi r^2

where, r is the radius of the semi-circle.

It is given that:

A = 76.97 sq. yards

\Rightarrow \frac{1}{2} \pi r^2=76.97 \\ \Rightarrow r = \sqrt{\frac{2\times 76.97}{\pi}} = 7 \text { yards}

We know that diameter is twice of radius.

Thus, diameter of the semicircle is, d = 2 × 7 = 14 yards.

You might be interested in
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
3 years ago
3. You are selling hot cocoa at an
Liono4ka [1.6K]

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

5 0
3 years ago
Which is more 5 feet or 59 in​
denis-greek [22]
5 feet is 12*5 which is 60
59 is less than 60
Do five feet is more
8 0
3 years ago
Read 2 more answers
What type of angles are ECH and FCG?
Darina [25.2K]

ECH is an acute angle.

FCG is also an acute angle.

5 0
3 years ago
Read 2 more answers
What is 7+20 answer quick
Zinaida [17]

Answer: 27

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write 9 is greater than y
    15·2 answers
  • The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surf
    10·1 answer
  • Yoshi's age is twice Bart's age plus 3. Yoshi is 13 years old. How old is Bart?
    8·2 answers
  • The parrots at the top of the tree is about 10 inches long and has a wing span of 15 inches what fraction represents the birds l
    12·1 answer
  • -10=-15+5x heeeeeeeeeeeeeeeeeeeeeeelp me
    5·1 answer
  • The degree of the polynomial function f(x) is 4.
    5·1 answer
  • Can you shade this please​
    8·1 answer
  • A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
    7·1 answer
  • Can you help me anyone please
    7·2 answers
  • Find the line with the slope m=½ through point (8,1)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!