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
Lunna [17]
3 years ago
14

Find the area of the shaded region. Round the the nearest tenth.

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = \frac{\theta}{360^{\circ} }\pi r^2

Area of sector = \frac{123}{360} \times 3.14 \times (18.6)^2

Area of sector = 371.157 m^2

Area of triangle = \frac{1}{2} \times a \times b \times Sin x

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = \frac{1}{2} \times 18.6 \times 18.6 \times Sin 123

Area of triangle = 145.073 m^2

So, Area of shaded region = Area of sector - Area of triangle

                                            =371.157 m^2-145.073 m^2

                                            =226.084 m^2

Hence the area of the shaded region is 226.084 sq.m.

You might be interested in
I need to answer and explain
nignag [31]

Answer:

parallel

Step-by-step explanation:

Solve both equations for y to make it easier to compare them.

2x - 5y = 0 ↔ 5y = 2x, or y = (5/2)x.

y = (5/2)x - 3

Since the slopes are the same, the two lines are parallel.

8 0
3 years ago
Expression in fractured form
pychu [463]

Answer:

Step-by-step explanation:

for the first one it's (x + 5) x (x - 7)

second one it's  (x + 5) x (x + 7)

third one is (x - 5) x ( x + 7)

fourth one is (x -5) x (x - 7)

thats the answer

8 0
3 years ago
Kevin and Randy Muise have a jar containing 92 coins, all of which are either quarters or nickels. The total value of the coins
Artemon [7]
<span>Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or

(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.</span>
7 0
3 years ago
Does the equation y=14x represennt a proportinal relationship?
Sonbull [250]
Y=14x
Compare with general form:
y=kx
Where k is the constant of proportionality.
Here k=14
So 1 unit increase in x will bring 14 times increase in y.
There is a direct relation between x and y.

Answer: Yes
5 0
3 years ago
Solve each system by substitution.<br> 1) y = 2x + 2<br> y = -5x + 16
dalvyx [7]

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

5 0
3 years ago
Read 2 more answers
Other questions:
  • 1.9 x 0.3 bus stop method
    12·2 answers
  • Laura has a board that measures 6 11/12 feet in length. She will cut the board into pieces that are each 11/12 foot long. How ma
    9·1 answer
  • The number of finance majors within the School of Business is an example of
    14·1 answer
  • The nth term of a sequence is 3n+4<br> explain why 21 is not a term of this sequence
    13·1 answer
  • Mr. Barber uses 7/9 yard of wire to put up a ceiling fan. He uses 1/3 yard of wire to fix a switch How much more wire does he us
    6·1 answer
  • Solve 2 log x = log 36<br> Answer<br> x = 72<br> x = 6<br> x = ±6<br> x = 18
    10·2 answers
  • What is the least common denominator out of 1/12 and 3/8
    14·2 answers
  • What is the circumference of a circle with a radius of 4cm? .​
    15·2 answers
  • Is 4x^ -3 - 4x + 6 nonlinear or linear
    7·1 answer
  • For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!