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
baherus [9]
3 years ago
7

A rectangle is placed around a semi circle as shown below. The width of the rectangle is 7yd. find the area of the shaded region

. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer

Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answer:

21.07 yd^2

Step-by-step explanation:

The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.

The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.

area of shaded region = area of rectangle - area of semicircle

A = LW - (1/2)(pi)r^2

A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2

A = 98 yd^2 - (1.57)(49 yd^2)

A = 98 yd^2 - 76.93 yd^2

A = 21.07 yd^2

You might be interested in
Pliz i need help on this ine help me out pliz
kirill115 [55]
1st term a₁ = - 3.7; common difference d = - 1.3

the nth term a(n) = a₁ +(n-1)d  or a(n) = 3.7 + (n-1)(-1.3)

a(n) = - 3.7 - 1.3n  + 1.3 ====> -2.4 - 1.3.n   Or as per your answer:
a(n) = -1.3.n - 2.4
4 0
4 years ago
Reposted:<br> thanks for the help!<br> have a nice day ;)
Marina CMI [18]

Answer:

a) 11

c) 18

d) -25

Step-by-step explanation:

a)

Substitute: 3|-2| + 5|-1|

Absolute value is positive: 3(2)+5(1)

Simplify: 6+5

Simplify: 11

c)

Substitute: 4|-2| +8-(-2)

Absolute value is positive: 4(2)+8-(-2)

Simplify: 8+8+2

Simplify: 18

d)

Substitute: -3|-5|+2(-5)

Absolute value is positive: -3(5)+2(-5)

Simplify: -15-10

Simplify: -25

7 0
3 years ago
Read 2 more answers
Help me with these math questions.
Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: \frac{150}{31}

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆(\frac{5x+6}{x-4}) = 2

(\frac{5x+6}{x-4}) = 6²

(\frac{5x+6}{x-4}) = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

       6 = 31x - 144

    150 = 31x

     \frac{150}{31} = x

**********************************************************

Answers:

  • a. (-1, -5)
  • b. up
  • c. x = -1
  • d. \frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}
  • e. -2
  • f. see attachment
  • g. domain (-∞, ∞)  range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

      a=3  b=6 c=-2

x = \frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

       = 3 - 6 - 2

       = -5

Vertex: (-1, -5)

x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

  = \frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}

  = \frac{-6+/-\sqrt{36+24}}{6}

  = \frac{-6+/-\sqrt{60}}{6}

  = \frac{-6+/-2\sqrt{15}}{6}

  = \frac{-2+/-\sqrt{15}}{3}

x-intercepts: \frac{-2+/-\sqrt{15}}{3}



6 0
3 years ago
Covert 52m to kilometers. Explain how you got your answer
Mamont248 [21]

Answer:

0.052 kilometers

Step-by-step explanation:

There are .001 kilometers in 1 meter. So to convert meters to kilometers, multiply the number of meters by .001. 52x.001=.052

I hope you understand...have an awesome day!!! C:

4 0
4 years ago
21➗7= , ✖️7=21 what is the meaning of the unknown factor and quotient?
viktelen [127]
21 divided by 7 equals 3 and 3 x 7 is 21 the missing factor is 3 and the missing quotient is 21
5 0
3 years ago
Other questions:
  • The two spheres above have the same center. One has a radius of 2 cm, and the other has a radius of 3 cm. Approximately how much
    14·2 answers
  • 2 Points<br> Evaluate 5 – (4 + 2)2
    6·1 answer
  • Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m
    11·1 answer
  • AN SOMEONE PLEASE HELP ME SOLVE THIS!!
    8·1 answer
  • Help me on this math question
    5·1 answer
  • Write an equivalent expression in the form ax+b. Do not use spaces in your answer.
    15·1 answer
  • Bob wants to leave a 12% tip for his meal. if the meal cost 36.55, how much is the bill including the tip? ​
    5·2 answers
  • What is the equation of the vertical asymptote for the graph below ? <br> y = 5 + 1 / x + 3
    5·1 answer
  • A trail is
    12·2 answers
  • if the price elasticity of demand for chips is 0.75, then a 20 percent increase in price would result in a _______ percent decre
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!