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
bulgar [2K]
3 years ago
6

Find the area of the shaded region

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

  7. 183 in^2

  8. 192.42 m^2

  9. 239.4 ft^2

Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

  A = (1/2)(b1 +b2)(h) = (1/2)(26+14)(15) = 300 . . . . . . square inches

The triangle has a base of 26 and a height of 9, so an area of ...

  A = (1/2)bh = (1/2)(26)(9) = 117 . . . . . . square inches

Then the shaded area is ...

  300 in^2 -117 in^2 = 183 in^2

__

8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

The centerline diameter is 21 m - 3.5 m = 17.5 m, so the circumference of that circle is ...

  C = πd = π(17.5 m) = 17.5π m

Then the area of the shaded part is ...

  (3.5 m)(17.5π m) = 61.25π m^2 ≈ 192.42 m^2

__

9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

You might be interested in
What is the difference between a product and a multiple?
dsp73
Product <em /><em /><em>is the answer to a multiplication problem.

Multiple is the product of the number and whole numbers.

Hopefully this helps! :D :D
</em>
7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4x + 3 - 2x + 5.
My name is Ann [436]

2x+8 is equivalent to 4x+3-2x+5

Step-by-step explanation:

4x+3-2x+5

4x+2x+3+5

2x+8

7 0
3 years ago
Read 2 more answers
Can someone please help?
Helga [31]

Answer:

(-2,1) (-3,0)

Step-by-step explanation:

It hits on the line

7 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me it is
solong [7]

Answer:

D

Step-by-step explanation:

Paul can type 60 words per minute and Jennifer can type 80 words per minute. Paul typing speed / Jenifer typing speed = 60/80 = 3/4. Paul type 3/4 as fast as Jennifer. Log in for more information.

7 0
3 years ago
Read 2 more answers
A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
3 years ago
Other questions:
  • The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents t
    12·2 answers
  • The area of a circle is 1256 square inches what is the length of its radius
    14·1 answer
  • If df=78, de=5x-9, and ef=2x+10, find ef
    12·1 answer
  • A rectangular solid is 5 inches wide, 8 inches long, and 3 inches tall. what is the volume of this rectangular solid in cubic in
    14·1 answer
  • Please help . I’ll mark you as brainliest if correct.
    14·1 answer
  • Josh bought 6 pounds of sugar for $4. How many pounds of sugar did he get per dollar?
    8·1 answer
  • Situation #4
    7·1 answer
  • Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends Which equa
    14·1 answer
  • If DE ⊥ EF, then ∠DEF is a right angle, provide a counter example if false... help??
    9·1 answer
  • Solve using the quadratic equation -4x² + 7x + 5 = 0​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!