What is the perimeter of CDE?
A. 37.8 units
B. 39 units
C. 32.5 units
D. 35.6 units

What Is The Perimeter Of CDE? A. 37.8 Units B. 39 UnitsC. 32.5 Units D. 35.6 Units

Answers

Answer 1
Answer: 32.5 units (choice C)

This value is approximate.

=============================================================

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

[tex]C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\[/tex]

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

[tex]C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.


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Answer:

Surface area of prism is 48km^2

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Step-by-step explanation:

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PLEASE HELP MATH
Find the interquartile range of the data shown on the box-and-whisker plot below.

Answers

Answer:

Step-by-step explanation:

to find an interquartile range of the data in order to proceed with it.

ans:

53 + 1 = 54

57 - 3 = 54

24 + 30 = 54

29 + 25 = 54

The interquartile range of the data shown on the box-and-whisker plot will be 29.

How to find the interquartile range?

IQR(inter quartile range)  is the difference between third and first quartile.

Usually, we use interquartile range along with two quartiles Q1 and Q3 to get the anomalies.

Those values who lie below Q1 - 1.5 xIQR  or above Q3 + 1.5 xIQR  are called anomalies.

But since in the case when these things are not obtainable, we check manually which point is lying away from mean or outside of usual range etc.

In order to find an interquartile range of the data in order to proceed with it.

In the box-and-whisker plot given:

Upper quartile = 54

Lower quartile = 25

Interquartile range (IQR)

54 - 25 = 29

Therefore, the interquartile range of the data shown on the box-and-whisker plot will be 29.

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The perimeter of a rectangular garden is 120 feet The garden is two times as long as it’s why the system of equation can be used to find the width in the length what is the length

Answers

Answer:

Step-by-step explanation:

Garden is two times as long as it is wide.

L = 2W

Perimeter is 120 feet

2L + 2W = 120

L +W = 60

(2W) + W = 60

3W = 60

W = 20 feet

L = 2W = 40 feet

The figure to the right shows the graphs of the cost and revenue functions for a
company that manufactures and sells small radios. The solid red line represents the
revenue function, R(x) = 55x; the dashed blue line represents the cost function,
C(x) = 15,000 + 30x. Use the formulas to find R(300) - C(300). Describe what this means for the company


(Type integers or decimals.)

R(300) - C(300) = ???
which represents a $ ???
loss for the company

B. R(300) - C(300) = ??
which represents a ??
gain for the company

Answers

From the formula R(300) - C(300) we understand that is loss of 7500 for the company.

The given functions are R(x) = 55x and C(x) = 15,000 + 30x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is R(300) - C(300).

Now, R(300) = 55 × 300 = 16500

C(300) = 15,000 + 30 × 300

=15,000 + 9000

= 24,000

Now, R(300) - C(300) = 16500-24000

= -7,500

Therefore, from the formula R(300) - C(300) we understand that is loss of 7500 for the company.

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In the picture below, which lines are lines of symmetry for the figure?



A. 1 and 3
B. only 1
C. only 3
D. 2 and 4

Answers

Answer:

It's option C. only 3

Step-by-step explanation:

A line of symmetry is a line which will cut any shape in exactly half. In your given picture, only line 3 is symmetrical because if you were to fold the shape after you cut it in half, both halves would match and be equal.

Solve for X and show your work and explain please

Answers

Answer: x = 45

Step-by-step explanation:

Given

(2/3)x + 4 = (4/5)x - 2

Add 2 on both sides

(2/3)x + 4 + 2 = (4/5)x - 2 + 2

(2/3)x + 6 = (4/5)x

Subtract (2/3)x on both sides

(2/3)x + 6 - (2/3)x = (4/5)x - (2/3)x

6 = (12/15)x - (10/15)x

6 = (2/15)x

Divide 2/15 on both sides

6 / (2/15) = (2/15)x / (2/15)

[tex]\boxed{x=45}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 45

Step-by-step explanation:

2/3 x + 4 = 4/5x - 2             Add 2 to both sides

2/3 x + 4 + 2 = 4/5x            Combine

2/3x + 6 = 4/5x                   Subtract 2/3 x from both sides.

6 = 4/5x - 2/3 x                  Multiply both sides by 15

6*15 = 4/5 x * 15 - 2/3x * 15

6*15 = 12x - 10x                   Combine the left and right

90 = 2x                               Divide by 2

x = 45

Let's see if it works.

LHS = 2/3 * 45 + 4

LHS = 2*15 + 4

LHS = 30 + 4

LHS = 34

RHS

Right hand side = 4/5 * 45 - 2

RHS = 36 - 2

RHS = 34 which is the same as the LHS

The diameter of a cone is 34 ft. the height is 16 ft what is the volume in cubic ft?

Answers

Answer:

4842.24 cubic feet

Step-by-step explanation:

Use the formula for the volume of a cone, V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

The diameter of the cone is 34 ft, so the radius is 17 ft.

Plug in the radius and height into the formula, and solve for the volume:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](17)²[tex]\frac{16}{3}[/tex]

V = [tex]\pi[/tex](289)[tex]\frac{16}{3}[/tex]

V = 4842.24

So, the volume of the cone is 4842.24 cubic feet

Answer:

4,841.32 ft³.

Step-by-step explanation:

Let’s assume that this is a right circular cone and that the radius of the cone is r.

For our problem, r = (1/2)d = (1/2)34 = 17.

The volume of the cone is:

V = (1/3)pi r^2 h, where r is the radius and h is the height.

So, V = (1/3)pi(17^2)16 = 4,841.32 ft³.

The length of a shoe is 25 centimeters. How long is the shoe in meters? (Note: 1 meter = 100 centimeters). pls help

Answers

Answer:

0.25meters

As 100cm=1metre

so, 25cm=25/100meter

=0.25metre

Step-by-step explanation:

If you like my answer than please mark me brainliest

The answer is 0.25 meters

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

Answers

Answer:

f^-1 (-15) = -6

f^-1(4) + f(9)  = 0

Step-by-step explanation:

f^-1 (-15) =

Look where the output is -15 and  find the x value ( x=-6)

Since where are using the inverse function, the input becomes the output and  the output  and the output becomes the input

f^-1 (-15) = -6

f^-1 (4) = -11  (inverse function)

f(9) = 11  ( regular function)

f^-1(4) + f(9) = -11+11 = 0

If 1/2 of a loaf of brown bread costs R6,how much will 2 halves cost​

Answers

Step-by-step explanation:

1/2 is equal to R6.

So 2 halves mean R6+R6=R12

Or

R6×2= R12

Answer:R12

Is this a function graph help

Answers

Answer:

This is not a function graph as no variables are present.

I need help! I will give brainliest, if correct!

For a certain value of $k$, the system

x + y + 3z = 10,

-4x + 3y + 5z = 7,

kx + z = 3

has no solutions. What is this value of k?

Answers

kx + z = 3 means z = 3 - kx. Substitute this into the first two equations:

x + y + 3 (3 - kx) = 10   ==>   (1 - 3k) x + y = 1

-4x + 3y + 5 (3 - kx) = 7   ==>   (-4 - 5k) x + 3y = -8

Multiply through the first equation by -3 :

-3 ((1 - 3k) x + y) = -3 (1)   ==>   (-3 + 9k) x - 3y = -3

Add this to the second equation to eliminate y :

((-3 + 9k) x - 3y) + ((-4 - 5k) x + 3y) = -3 + (-8)

(-7 + 4k) x = -11

Normally, you would solve for x by dividing both sides by -7 + 4k. But you can't do that if this turns out to be equal to 0, which happens for

-7 + 4k = 0   ==>   k = 7/4

Answer:

k = 7/4

Step-by-step explanation:

linear equation 7x+25=9​

Answers

Answer:

x = -16/7​

Step-by-step explanation:

7x+25=9​

Subtract 25 from each side

7x+25-25=9-25

7x = -16

Divide each side by 7

7x/7 = -16/7

x = -16/7​

Answer:

[tex]7x + 25 = 9 \\ 7x = 9 - 25 \\ 7x = - 16 \\ x = \frac{ - 16}{7} \\ x = - 2.29[/tex]

Step-by-step explanation:

I hope it helped U

stay safe stay happy

In 2014, the population of Ohio was 11.59 million people. One-hundred years earlier the population was 5.109 million people. Using scientific notation, how much did the population grow over the hundred-year span?

Answers

The answer is the population grew over the hundred-year span by [tex]6.481*(10)^6[/tex]

Given that in 2014, the population of people in Ohio = [tex]11.59[/tex] million

Also given that One-hundred years earlier of the year 1914, the population =  [tex]5.109[/tex] million people

One-hundred years earlier in the year 2014 = 2014 [tex]- 100[/tex] years

One-hundred years earlier in the year 2014 = Year 1914

The scientific notation of the year 2014 population is [tex]11.59*(10)^6[/tex]

The scientific notation of the year 1914 population is [tex]5.109*(10)^6[/tex]

How much did the population grow over the hundred-year span?

Growth of the population from 1914-2014 = [tex]11.59*(10)^6 - 5.109*(10)^6[/tex]

Growth of the population from 1914-2014 = [tex]6.481*(10)^6[/tex]

Conclusion: The population grew over the hundred-year span by [tex]6.481*(10)^6[/tex]

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how do I do this?????????????????????????????

Answers

Use the Pythagorean theorem to find the length of the third side (AB), and then subtract 17.6 away from the total length of AB.

Find how many quarts of 4​% butterfat milk and 1​% butterfat milk should be mixed to yield 75 quarts of 3​% butterfat milk. The mixture should contain ___ quarts of the 4​% butterfat milk.

Answers

Answer:

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

PLEASE HELP

4/9w = -8

Show your work in details if you can, I have a hard time understanding this.

Answers

4/9 w = -8

Multiply both sides by 9
4w = -72
Divide both sides by 4
W= -18

Or. Multiply both sides by 9/4
X= -18

[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: \frac{4}{9} \sf \: w \: = \: - 8 \\ \\ \large\bf{\blue{ \implies}} \tt \: \frac{4 \sf \: w}{9} \: = \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 9 \: \times \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 72 \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: \cancel\frac{72}{4} \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: 18 \end{cases}[/tex]

What is the product of these two binomials?
(x2 - 5)(2x - 1)
Select the correct answer.
o 2x3 - x2 + 10x - 5
O 2x3 - x2 - 10x-5
o 2x3 - x2 - 10x + 5
o 2x3 - x2 + 10x + 5

Answers

Answer:

2x³ - x² - 10x + 5

Step-by-step explanation:

Use FOIL method.

(x² - 5) (2x - 1) = x²*2x +(x²)*(-1) + (-5)*(2x) + (-5)*(-1)

                       = 2x³ - x² - 10x + 5

please help me asap!!!!!

Answers

Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...

Answers

Answer:

Answer:×(-2)

Answer:×(-2)Step-by-step explanation:

-2/1 = -2

4/-2 = -2

-8/2 = -2

Next two: 16, -32

-16, 32

Just multiply each number by -2

solve it quickly. l follow you make brainlaist. first solve so l​

Answers

[tex]5 \frac{2}{3} + 3 \frac{1}{5} \\ \frac{17}{3} + \frac{16}{5} \\ \frac{(17 \times 5) + (16\times 3)}{5 \times 3} \\ \frac{85 + 48}{15} \\ \frac{133}{15} = 8\frac{13}{15} [/tex]

Belinda wants to invest in an option that would help to increase your investment value by the greatest amount in 20 years. Will there be any significant can difference in the value of Belinda‘s investment after 20 years if she uses option two over option one? Explain your answer, and show the investment value after 20 years for each option.

Answers

Step-by-step explanation:

Part A, Option 1 is a exponential function while option is a linear equation.

Part B, Let y=b*a^(x) be the function for option 1. At x=1, y=1100 and at x=2, y=1210. 1100=b*a and 1210=b*a^2. Dividing them both we get, b=1.1 and a=1000. y=1000*(1.1)^(x). For option 2, it's a linear equation with a function y(x)=1000+100x.

The 20 year difference would be immense. With option 1, Belinda will get $6727.5 whereas with option 2, they will end up with $3000

Emma spent 4 and one-half days planting her garden. Her brother spent 2 Over 9 as much time as Emma did. How many days did her brother spend planting his garden?

Answers

emma’s brother spent 1 day planting his garden. i got this by splitting the days into hours (108 hours) and then deciding the hours by nine. then i take the quotient of 108 and nine (12) and multiplied it by two. getting 24 hours. (aka one day)! hope this helped :)

Answer: 1 day

Step-by-step explanation:

i took the test lol...

A company makes cylindrical crackers that have a cylindrical hole in the middle.

The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.

Answers

Answer:

Its 2714

Step-by-step explanation:

Khan Academy

The volume of the material that would be needed for each cylindrical cracker is approximately: 2,714 mm³ mm³.

What is the Volume of a Cylinder?

Volume of a cylinder = πr²h

The volume of the material used for each cylindrical cracker = Volume of entire cylindrical cracker - volume of cylindrical hole

Radius of entire cracker (r) = 16/2 = 8 mm

Height (h) = 18 mm

Volume of the entire cracker = π(8²)(18) ≈ 3,619 mm³

Radius of hole (r) = 8/2 = 4 mm

Height (h) = 18 mm

Volume of the entire cracker = π(4²)(18) ≈ 905 mm³

The volume of the material used for each cylindrical cracker = 3,619 - 905 = 2,714 mm³

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PLease help me multiply and divide these two fraction problems I don't understand at all.
Multiply:
4(−5 2/3)
Divide:

−5/8÷12

Answers

Answer:

I am not so sure but I am assuming-5 2/3 to be mixed fraction so improper fraction wud be -17/3

now 4*- 17/3 = 68/3

now divide -5/8 ÷ 12

so u must know the rule that if division we can multiply by reciprocal

so -5/(8*12) = -5/96

hope that helps

Nasa is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before the launch and has a diameter of 4.7 feet. What is the total weight in pounds?

Answers

Answer:

Step-by-step explanation:

HELP MEEEE FAST PLZ

MY MOM THINKS IM SMART BUT I DON'T GET THIS AHHHH HELP

Answers

Answer:

10

Step-by-step explanation:

-3 = 7 - 10

-3 = -3

Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)

Answers

Answer:

46.94 degrees (approx)

Step-by-step explanation:

PLEASE I HAVE AN HOUR Why might you use the distributive property to simplify 3(30-2)

Answers

Well, it would make the computation a lot easier:
Without the distributive property:
3 ( 30 - 2 ) =
3 ( 28 ) =
84.
I’m going to assume that you don’t know 3 ( 28 ) right off of the top of your head, so you can do:
3 ( 30 ) - 3 ( 2 ) =
90 - 6 =
84.
This way is much easier and less time consuming because you can do this computation in your head.
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