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
alukav5142 [94]
3 years ago
6

Find area of shaded region. Round to the nearest tenth need help ASAP

Mathematics
2 answers:
Kryger [21]3 years ago
8 0

Answer:

The area of shaded region is 226.4 meter squared.

Step-by-step explanation:

Radius of the circle = r =18.6 m

Angle subtended by chord\theta = 123^o

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

In ΔOAB

∠A+∠B+∠O= 180°

2∠A+123°= 180°(∠A=∠B, isosceles triangle)

∠A=∠B=28.5°

AC=BC (Radius of the circle  bisects the chord at right angle.)...(1)

In ΔOAC

\sin 123^0=\frac{OC}{OA}

OC = 8.87 m

\cos 123^0=\frac{AC}{OA}

AC = 16.34 m

AB = AC+AB=16.34 m+16.34 m=32.68 m (from (1))

Area of the ΔOAB = \frac{1}{2}\times OC\times AB

=\frac{1}{2}\times 8.87 m\times 32.68 m=144.93 m^2

Area of segment = Area of sector - Area of triangle:

371.34 m^2-144.93 m^2=226.41 m^2\approx 226.4 m^2

The area of shaded region is 226.4 meter squared.

Serjik [45]3 years ago
5 0

the answer for the shaded region is 320.59 m² or approximately 321 m². applying area of circle, unitary method, sin law and area of triangle using semi perimeter.

You might be interested in
Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9
Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0
3 years ago
Evaluate 15 + |-3| - 4
hichkok12 [17]

Answer:

14

Step-by-step explanation:

we are solving 15 + |-3| - 4

anything inside |   | means it's absolute value.

absolute value means that even if it is a negative number inside, it will change to positive. if it is a positive number inside, it will stay the same.

so |-3| is 3.

15 + 3 - 4

18 - 4 = 14.

we got the answer

6 0
3 years ago
Read 2 more answers
What is the slope of a line parallel to the line with equation 5x + 3y = 7?
weeeeeb [17]

Answer:

-5/3

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

\frac{3y}{3} =\frac{-5x+7}{3} \\y=\frac{-5}{3}x+\frac{7}{3}.

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

3 0
3 years ago
What are the measures of Angles a, b, and c? Show your work and explain your answers.
jolli1 [7]
Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)
5 0
2 years ago
A drinking straw has a circumference of 30 mm and a height of 210 mm.
dexar [7]
I think the straw can hold about 15000 mm^3.
3 0
3 years ago
Other questions:
  • What multiplies to 378 and adds to -51
    7·1 answer
  • A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative s
    15·1 answer
  • 8x^3-22x^2-4 divided by 4x-3
    9·1 answer
  • Need answer has soon has possible
    10·1 answer
  • 25 POINTS PLZ ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of
    14·1 answer
  • What is an equation of the line that passes through the points (2,-3) and (-3,7)
    7·1 answer
  • Solve the right triangle. Round your answers to the nearest tenth.
    5·1 answer
  • At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?
    12·1 answer
  • The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Which of the following equations shows t, how much the
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!