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
ASHA 777 [7]
3 years ago
5

Please help me I have a quiz on Friday !

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

\displaystyle A_l=6.97\ ft^2

Step-by-step explanation:

<u>Subtractive Areas </u>

When we want to find areas of surfaces that are inside of greater surfaces, we must subtract the greater minus the rest of it. We want to find the shaded area which is part of the circular sector, along with a right triangle shown in the figure. The area of a circle is

\displaystyle A=\pi \ r^2

The area of a circular sector of center angle \theta is

\displaystyle A_s=\frac{\theta \ r^2}{2}

The area of a right triangle with base b and height h is

\displaystyle A_t=\frac{b.h}{2}

We have the value of \theta is

\displaystyle \theta =100^o=\frac{100.\pi }{180}

\displaystyle \theta =\frac{5\pi }{9}rad

The radius is half the diameter, thus

\displaystyle r=\frac{6}{2}=3\ ft

The area of the circular sector is computed now:

\displaystyle A_s=\frac{5\pi }{9}.3^2

\displaystyle A_s=5\pi\ ft^2

We also have the length of the base as double of the given value (because of symmetry)

\displaystyle b=4.6\ ft*2

\displaystyle b=9.2\ ft

The height is

\displaystyle h=1.9\ ft

The area of the triangular surface is

\displaystyle A_t=\frac{(9.2)(1.9)}{2}

\displaystyle A_t=8.74\ ft^2

Finally, the shaded area that Geneva will lose from the table is

\displaystyle A_l=A_s-A_t

\displaystyle A_l=5\pi -8.74

\boxed{\displaystyle A_l=6.97\ ft^2}

You might be interested in
Francesca has 9 striped shirts, Francesca has 9 striped shirts, which is 15% of the total number of shirts in Francesca's drawer
Burka [1]
B - 60 Shirts

15 percent is 3/20 of a whole, meaning that 1/20 of a whole would be 3. Then, multiply the 1/20 by its denominator.

3*20= 60

5 0
2 years ago
Read 2 more answers
Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil
Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5

Therefore the expression for the number of pencils Maggie gives to jamil are  \frac{1x}{2} - 5.





5 0
3 years ago
Read 2 more answers
-0.183 as a fraction in the simplest form??
IRISSAK [1]
-0.183 = -0.183 / 1

Numerator = -0.183 × 10 × 10 × 10 = -183
Denominator = 1 × 10 × 10 × 10 = 1000

Numerator / Denominator = -183 / 1000

Our simplified fraction is:

= -183/1000



8 0
3 years ago
Read 2 more answers
A youth ice hockey game has 3 periods that are each 20 minutes long. Colin plays 12 minutes each period. Which ratio shows Colin
labwork [276]
The answer is 12:20.......................

4 0
3 years ago
Read 2 more answers
Please help I will mark brainliest 50 points
Katena32 [7]

Answer:

sorry for taking points I need to tell you that there is nothing there!

Step-by-step explanation:

again sorry for taking the points bro

7 0
2 years ago
Read 2 more answers
Other questions:
  • Th sum of a number and two is equal to eight <br> The equation?
    15·2 answers
  • I need the answer for both of the questions
    11·2 answers
  • Find the value of x in the equation 2(x – 3) 5x = 5(2x 6).
    12·1 answer
  • Let g(x)=3x<br><br> g(g(g(-1)))
    10·2 answers
  • A cell phone company tests 110 cell phones and finds that 4 of them have defects. Out of 550 cell phones, how many would you exp
    8·1 answer
  • On a 540-mile trip, cheng and Elsie shared the driving
    7·1 answer
  • Find the value of x.<br> 3x<br> X + 10<br> Х<br> 2x<br> x = [?]°<br> Hint: Sum = (n-2)180<br> Enter
    5·1 answer
  • Point H is located at (2,−7)
    12·1 answer
  • Kelly answered 3 items on a test incorrectly. This was 6% of the items. How many items were on the test?
    10·1 answer
  • This recipe makes 8 pancakes.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!