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Zolol [24]
3 years ago
10

A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperbo

ard that remains after the semicircle is removed? (Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.)

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in

Step-by-step explanation:

Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.

Length = 24 in

Width = 18 in

Radius of the semi circle = Half of the width of the paperboard = \frac{18}{2} = 9 in

1) Circumference of the semi circle = π*radius

= 3.14*9

= 28.26 in

2) Perimeter of the paperboard that remains after the semicircle is removed

= Top + Left + Bottom + Right Circumference of the semi circle

= 24 + 18 + 24 + 28.26

= 94.26 in


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Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota
Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

\frac{2}{3} x = 140

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

(\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})

Now you can solve:

x = \frac{420}{2} \\x = 210

We can check this answer by multiplying 210 by 2/3

(210)(2/3) = 140

Remember, Sam used a gift certificate for $25

140 - 25 = $115

Therefore, the original price of the skis is $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
There are 50 pennies in a roll. If you have 150 rolls of pennies, how many pennies do you have?
Y_Kistochka [10]

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

8 0
2 years ago
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

                                                     = (\frac{1}{2})(\pi )(17-11)^2(6)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

8 0
2 years ago
Is there any tutors orrr
Papessa [141]
There’s tutors for math i just asked a tutor for help lol
4 0
2 years ago
Read 2 more answers
Will all random samples from a given population have the same mean?
Marat540 [252]

Data from random samples will not always include the same values. Values are chosen randomly and they may or may not be the same. So means will vary among samples.

5 0
3 years ago
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