5. A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles
as shown whose centers are connected to form a square. The ornament, both circular and square portions, is
made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.

Answers

Answer 1

Answer:

(a) 12π in

(b) 53.5 in

(c) 96 grams

Step-by-step explanation:

In the figure attached, the ornament is shown

(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.

Perimeter of each circle: 2*π*r

The radius is 2 in long, then for 3 circles:

Perimeter = 3*2*π*2 = 12π in

(b) Perimeter of square: 4*side length

The side length of the square is 4 in, then:

Total length of wire needed = 4*4 + 12π = 53.5 in

(c) The wire weighs 1.8 grams per inch, then:

total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams

5. A Metal Ornament Is Being Designed Such That Its Perimeter Is Created By Four Identical Three-quarter

Related Questions

The school has t-shirts to hand out. They have 10 hot pink shirts, 6 neon green shirts, 9 bright yellow shirts, and 11 vibrant blue shirts. If you are handed a shirt at random, what is the probability you will be given a vibrant blue shirt?
11/36
10/36
11%
1/4
NEED HELPPP

Answers

Answer:

A. 11/36

Step-by-step explanation:

Add all the numbers together(36), and then see how many out of that number are the vibrant blue shirt. Since they are asking the probability of you being given a vibrant blue shirt, and there are 11 out of the 36 shirts, therefore you have an 11/36 chance that you will be given a vibrant blue shirt.

Answer:

11/36

Step-by-step explanation:

36 is the total amount of t-shirts and 11 t-shirts are vibrant blue.

A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?

Answers

Answer:

C.

Step-by-step explanation:

x^2+20^2=25^2

x^2+400=625

x^2=225

x=15

The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the height in feet above the ground and t is the time in seconds. Find the time it takes the flare to reach the ground

Answers

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

[tex]h= -16t^2 + 16t + 32[/tex]

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

Need help! Please answer asap

Answers

Answer:

The NMTAndP are all the same

Mark wants to calculate the circumference of a circle with a radius of 7 centimeter. Which expression represents the circumference of the circle?
2 x 3.5 x π
2 x 14 x π
72 x π
14 x π

Answers

Answer:

14 x π

Step-by-step explanation:

The circumference of a circle is 2πr

Here, r is 7.

2 x 7 x π

=> 14π

In the figure, polygon ABCD is transformed to create polygon A’B’C’D’. This transformation is a

Answers

reflection transformation i believe. Correct me if im wrong im not that smart lol.

The quotient of fifteen and three minus four

Answers

Answer:

1

Step-by-step explanation:

(15 divided by 3) - 4

5-4=1

Hey guys can yall help me plzz? Explain how u found the answer too plzz! 20 points?

Math Problem: An airplane traveled 5.7 x 102 miles per hour for 1.4 x 101 hours. How far did the airplane travel?

Answers

Answer:

82209,96 miles

Step-by-step explanation:

1. 5,7 x 102 = 581,4 miles/hour

And

1,4 x 101 = 141,4 hours

2. 141,4 (hours) x 581,4 (miles) ÷ 1 (hour) = 82209,96 miles

It's the rule of three...

I hope it helped you!

Prime numbers have________________________?
-less than two factors
-more than two factors
-exactly two factors
-less than or equal to two factors

Answers

Answer:

exactly 2 factors

Step-by-step explanation:

they are 1 and itself

for example 3 is a prime number and its factors are 3 and 1.

Answer:

exactly two factors

Step-by-step explanation:

This sculpture is made of solid onyx and has a square hole through the middle. How much onyx was used to make the sculpture?


The volume of the sculpture is in.3.

Answers

To find the volume of the onyx used, we have to find the volume of the larger figure and then subtract the volume of the smaller figure from it.

The volume of onyx used is equal to 128in^3

Volume of the larger figure

Let's proceed to multiply through the length, width and height of the figure to determine the volume.

[tex]volume = length * width * height \\volume = 8 * 8 * 3\\volume = 192in^3[/tex]

The volume of the larger figure is 192in^3

Let's calculate the volume of the square hole

[tex]volume of square = (length)^3\\volume of the square = 4^3 \\volume of the square = 64in^3[/tex]

Data;

Volume of larger figure = 192in^3volume of the square hole = 64in^3

Let's subtract now and calculate the volume of onyx used

[tex]volume of onyx used = 192 - 64 = 128in^3[/tex]

The volume of onyx used is equal to 128in^3

Learn more on volume of a square here;

https://brainly.com/question/16384352

#SPJ2

Answer:

C.)  192

Step-by-step explanation:

got it right

WILL GIVE BRAINLIEST HURRY!

Answers

I your answer (the selected one) is correct

Answer:

Its a bell chart because the chart rapidly increases up from the right and decreases normally from the left like a normal graph. This graph has a normal distribution

Step-by-step explanation:

For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.


The given angle measure is 27º

Answers

Answer:

A complementary angle is 63 degrees and supplementary angle is 153 degrees.

Step-by-step explanation:

Complementary angle:

A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90.  90-27=63

Supplementary angle:

A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153

Answer:

The supplementary angle is

153°.

The complementary angle is

63°.

Step-by-step explanation:

30 POINTS!! THREE QUESTIONS!! WORTH 30 POINTS!! FINDING AREA AND CIRCUMFERENCE!!! [tex]\pi[/tex] = 3.14 and if you need me to I can help you work up the steps!!


Find the area and circumference of the circles:

[tex]\pi[/tex] = 3.14

Circles 1 & 2 are shown by the pictures, circle 3 is a word problem

Circle 1 is the picture with the number 10.4in

Circle 2 is the picture with the number 8.6ft


Preferred Answering :

Circle 1 Circle 2 Circle 3

Circumference: Circumference: Circumference:

Area: Area: Area:



Answers

Answer:

These are the formulas to find area and circumference of a circle.

Area = pie (times) radius squared

A=πr^2

Circumference= 2 (times) pie (times) radius

C=2πr

Hope this helps enough

Name the relationship: complementary, supplementary, vertical, adjacent, alternate interior, corresponding, or alternate exterior.
corresponding
O complementary
O supplementary
O alternate interior

Answers

Answer:

Quanto fa 1678890786+279265291

Need help with maths

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A parachutist's rate during a free fall reaches 75 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet.

Answers

Answer:

40 meters

Step-by-step explanation:

Solve for X 2( 5.5x+1) =24





)

Answers

Answer:

x=2

Step-by-step explanation:

11x+2=24

11x=22

22/11=2

x=2

In the system 4x + 9y = 7 and and 4x - 9y = 9, would I add or subtract this system to solve for x? To solve for y?

add to solve for x or add to solve for y

subtract to solve for x or subtract to solve for y

add to solve for x and subtract to solve for y

subtract to solve for x and add to solve for y

Answers

Answer:

add to solve for x and subtract to solve for y

Step-by-step explanation:

To solve for any variable, it is required to eliminate the other variable in two variable - two equation set.

The set of equations are

4x + 9y = 7  __________1

4x - 9y = 9 ___________2

To solve for x we need to eliminate  Y

We see that in equation 1 there is 9y and

in equation 2 there is -9y

if we add 9y and -9y (9y -9y = 0)

Hence it is clear  that to solve for x , it is needed to add equation 1 and equation 2.

by adding equation 1 + equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y + 4x -9y  = 7 +9

=>8x = 16

=>x = 16/8 = 2

____________________________

To solve for y we need to eliminate  x

We see that in equation 1 there is 4x and

in equation 2 also there is 4x

if we subtract 4x and 4x (4x -4x= 0) , we get 0

Hence it is clear  that to solve for y , it is needed to subtract equation 2 from equation 1.

by performing equation 1 - equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y -( 4x -9y)  = 7 - 9

=>4x + 9y - 4x +9y  = -2

=>18y = -2

=>y =  -2/18 = -1/9

_____________________________

Thus, correct answer is

add to solve for x and subtract to solve for y

Answer: The answer is add to solve for x and subtract to solve for y, I hoped this helps, brainliest please? :)

Step-by-step explanation:

cos 60° = 1/2
and sin 60º SQT 3/2
True or false

Answers

Answer: true...

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In a standard 90°- 60°- 30° triangle

with legs 1 and [tex]\sqrt{3}[/tex] and hypotenuse 2

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] ← True

PLSSSSSSSS HEELP
THANKS

Answers

Answer:

-1/3 or -0.33

Step-by-step explanation:

Square root of 4 equals 2 and 3(x-1) is 3x -3. So, 2-3 equals -1 divided by 3 equals -1/3 or -0.33.

PLZ MARK BRAINLIEST!!!

will mark as bianleast
Which of the following ratios in a circle is equal to π?

circumference to radius

radius to circumference

diameter to circumference

circumference to diameter

Answers

Answer:diameter to circumference

Answer:

Circumference to diameter

Step-by-step explanation:

Jackson gave Lena this expression to evaluate: 14(8 + 12). Lena said that to evaluate the expression was simple; just multiply the factors 14 and 20. Jackson told Lena she was wrong. He solved it by finding the product of 14 and 8 and then adding that to the product of 14 and 12.


a. Evaluate the expression using each student’s method.

b. Who was right in this discussion? Why?

Answers

Answer:

In this discussion, they both got  the same answer, so they're both right. However, when Jackson said Lena was wrong, he was incorrect, because Lena's way was also correct. So, they were both right in this discussion when it comes to the answers, but Jackson was wrong when he said lena was wrong. (I hope this helped).

Step-by-step explanation:

Lena: 14(8 + 12)

14(20)

280

Jackson: 14 x 8 = 112

14 x 12 = 168

168 + 112 = 280

Which expression is equivalent to StartFraction (4 p Superscript negative 4 Baseline q) Superscript negative 2 Baseline Over 10 p q Superscript negative 3 Baseline EndFraction? Assume p not-equals 0, q not-equals 0. StartFraction 25 p Superscript 10 Baseline Over 4 q Superscript 8 Baseline EndFraction StartFraction 2 q Over 5 p Superscript 5 Baseline EndFraction StartFraction p Superscript 7 Baseline q Over 160 EndFraction StartFraction 125 p Superscript 11 Baseline q Over 2 EndFraction

Answers

Answer:

C. [tex]\frac{p^7q}{160}[/tex]

Step-by-step explanation:

Answer: C

Step-by-step explanation:

PLEASE ANSWER.

A. Reflection over the x-axis and translation 4 units left.
B. Refection over the y-axis and translation 6 units down.
C. 90 degrees counterclockwise rotation about the origin and translation 2 units down
D. 180 degrees counterclockwise rotation about the origin and translation 2 units down

Answers

C looks like it’s the correct answer

Sorry if I’m wrong

Answer:D

Step-by-step explanation:180 degrees counterclockwise rotation about the origin and translation 2 units down

Fill in the blank using the options below
At a restaurant, 6 hot dogs cost $8.28 and 7 hamburgers cost $9.24.
The unit price of the ________ is _________ greater than the unit price of the _______
A. Hotdog A. $0.96 A. Hotdogs
B. Hamburger B. $1.38 B. Hamburgers
C. $1.32 C. Enter value
D. $0.06

Answers

Answer: The unit price of the hot dog is $1.38

The unit price of the hamburger is $1.32

So the hotdog is more expensive than the hamburger

Step-by-step explanation:

What is the volume of the cylinder? Express the answer in terms of Pi.


A cylinder with a diameter of 8 centimeters and height of 18 centimeters.


Recall the formula V = pi r squared h.

288 pi Centimeters cubed

1,152 pi Centimeters cubed

1,296 pi Centimeters cubed

2,592 pi Centimeters cubed

Answers

Answer:

288 pi Centimeters cubed

Step-by-step explanation:

To find the volume of  the cylinder with diameter of 8 centimeters and height of 18 centimeters, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylinder

from the question given, height h = 18 cm    and diameter = 8 cm

but diameter = 2r, this implies that r=[tex]\frac{d}{2}[/tex]    hence radius r = [tex]\frac{8}{2}[/tex] = 4 cm

we can now proceed to insert the values into the formula;

volume of a cylinder = πr²h

                                    =π×4² ×18

                                    =π×16 ×18

                                    =288 π cm³

volume of the cylinder = 288 π cm³

Answer:

its A

Step-by-step explanation:

288 pi Centimeters cubed

HURRY WILL MARK BRAINLIEST AND CASHAPP 10 BUCKS.
Which fraction id's represented by point A on the number line HURRY!! ​

Answers

Answer:

-1/4

Step-by-step explanation:

The dot is negative because it is below 0. It is 1/4th of the way from 0 to -1. Therefore it is -1/4.

Answer:

-1 / 4 ?

Step-by-step explanation:

Because it's already in the negative section.

sheila plans to row across the lake from point A to point B as shown below. to determine how far she will have to row, she has choen a point C and calculate the labeled data. how many miles will she have to row? round your answer to two decimal places.

answer here ________

Answers

Answer:

13.56

Step-by-step explanation:

What equation is represented in the graph?

a) y= x^2+1
b) y= x^2-1
c) y= 2x+1
d) y= |x| +1​

Answers

Answer:

D

Step-by-step explanation:

The parent graph of the one shown is the absolute value, since in the first quartile it is the line y=x and in the second quartile it is a reflection across the x axis. But since it is risen one unit, the new equation is y=|x|+1, or choice D. Hope this helps!

I need help will give brainliest!!!

Answers

Answer:

29,25,C

Step-by-step explanation:

Other Questions
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