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
luda_lava [24]
3 years ago
5

Find area of blue shaded region

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

\approx \: 7.33 \:  {cm}^{2}

Step-by-step explanation:

Area of the blue shaded region

=  \frac{ \theta}{360 \degree}  \times \pi r_1^2  - \frac{ \theta}{360 \degree}  \times \pi r_2^2  \\  \\  =   \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\  \\ ( r_1 = 4 \: cm, \:  \:  r_2 = 3\: cm, \:  \:  \theta = 120 \degree) \\  \\ =   \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\  \\  =   \frac{ 3.14 }{3}  \times 7 \\  \\  =  \frac{21.98}{3}  \\  \\  = 7.32666667 \\  \\  \approx \: 7.33 \:  {cm}^{2}

You might be interested in
Question 15
Hoochie [10]

Answer:

10% chance or 1/10

Step-by-step explanation:

5 out of the 100 cards are free lunches simplified it would be

1/10

8 0
3 years ago
Read 2 more answers
Two problems here I need solved! I need every step, so please have that with your answers!!
Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}

We multiply through by LCM of
(x-4)(x - 2)

(x - 2) + x(x-4) = 2

We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

{x}^{2} + x - 4x- 4 = 0

x(x + 1) - 4(x + 1) = 0

(x + 1)(x - 4) = 0

x + 1 = 0 \: or \: x - 4 = 0

x = - 1 \: or \: x = 4

But
x = 4
is not in the domain of the given equation.

It is an extraneous solution.

\therefore \: x = - 1
is the only solution.

QUESTION 2

\sqrt{x+11} -x=-1

We add x to both sides,

\sqrt{x+11} =x-1

We square both sides,

x + 11 = (x - 1)^{2}

We expand to get,

x + 11 = {x}^{2} - 2x + 1

This implies,

{x}^{2} - 3x - 10 = 0

We solve this quadratic equation by factorization,

{x}^{2} - 5x + 2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x + 2 = 0 \: or \: x - 5 = 0

x = - 2 \: or \: x = 5

But
x = - 2
is an extraneous solution

\therefore \: x = 5
7 0
3 years ago
7. What is the equation of the line that passes through (-1, -4) and (0,5)?
Serga [27]

Answer:

A)y=9x+5

Step-by-step explanation:

If x=-1, y=-4,

  y=9*-1+5=(-9)+5=-4

If x=0, y=5,

  y=9*0+5=5

3 0
2 years ago
Approximately how many inches are in 6 meters? A) 72 inches B) 144 inches C) 216 inches D) 234 inches
Blababa [14]
The answer would be D
8 0
3 years ago
HELP ASAP HELP ASAP HELP ASAP HELP ASAP
Shtirlitz [24]

The equation is P= 2w + 2(w+4.1)

The width is 8.2cm

5 0
2 years ago
Other questions:
  • A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the
    5·1 answer
  • Greta takes out a loan of $35,000 the rate of compound interest is 2% per month after 6 months she wants to pay off the loan and
    8·1 answer
  • What is the measure ?
    8·1 answer
  • What is the value of the expression if m=2 and n-6?
    6·1 answer
  • the sales tax on the purchase of a refrigerator that cost $695 is 7 percent.what is the amount of sales tax?
    13·2 answers
  • 26 is what percent of 130?<br> Please answer quickly no jokes.
    15·1 answer
  • Solve this math problem
    14·2 answers
  • I’ll give brainliest!
    14·2 answers
  • Please please help me omg I give 28 points
    10·2 answers
  • Eli's bedroom door is 9 feet tall and 3 feet wide. A new door is 2. 00 per square foot. How much would a new bedroom door cost i
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!