You are trying to help Rhonda understand the concept of a 5% slack in the line. You explain that having a 5% slack means that the length is 5% longer than it would be if it were completely straight. You compare ️ABC to Figure DEF, where curve DE is 5% longer than line segment AB.

Enter curve DE, given the curve is 5% longer than line segment АВ.​

You Are Trying To Help Rhonda Understand The Concept Of A 5% Slack In The Line. You Explain That Having

Answers

Answer 1

The length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC. The measure of the curve DE is 10.5 units

Pythagoras theorem

The theorem states that the length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC.

According to the theorem;

AB^2 = AC^2 + BC^2

AB^2 = 6^2 + 8^2

AB^2 = 36 + 64

AB = 10

If the curve DE is 5% longer than line segment АВ, the measure of curve DE is given as;

DE = 1.05 * 10
DE = 10.5

Hence the measure of the curve DE is 10.5 units

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Related Questions

the base of the rectangular prism is shaded what is the lateral surface area ( show work pls )

Answers

Height=H=4.5Length=L=11Bresdth=B=3

LSA

2×H(L+B)2(4.5)(11+3)9(14)126ft²

how to graph y = x + 10

Answers

Start at (0 -10) make a point go up one and to the right 1 make a second point at ( 1 -9) connect the two points.
Explanation:
The equation is the y intercept form
y
=
m
x
+
b

where
m = the slope think mountain ski slope.
b = the y intercept think beginning.
m in this equation is 1/1
b in this equation is -10
so start at b the y intercept of ( 0, -10)
This is the first point.
Then use the slope y =1 so go up 1
x= 1 so one to the right
x
=
0
+
1
=
1

y
=

10
+
1
=

9
The second point is then ( 1,-9)

Answer:

if you use desmos graphing calculator it will make graphing equations like this easier.

Step-by-step explanation:

by easier i mean it just graphs it for you. hope this helps:)

graph the line y= 4/3x

Answers

Answer:

RISE/RUN

Step-by-step explanation:

You start at (0,0)move up 4move right 3

someone pls help me ​

Answers

Answer:

It should be

likes dislikes

teens 96% 4%

adults 21% 79%

senior 18% 82%

citizens

Step-by-step explanation:

100 people

100%

so 1 person = 1%

i guess

Which of the following numbers is a multiple of 7?

Answers

Answer:

You have to share number too

how many gallons of paint are needed for one coat on the entire exterior of the barn, including roof?

Answers

A bran with the dimensions shown is to be painted. One gallon of pain covers 400 square feet. 23 gallons of  pain is need for the one coat of the barn. Option B is correct.

Given that,

A bran with the dimensions shown is to be painted.

One gallon of pain covers 400 square feet.

We have to find how much gallon of paint for one coat on the entire external of the bran, including the roof.

So,

We can see in the picture

1 side of the barn is rectangle with length and breath that is 24 feet and 60 feet.

1 side of the barn is square with side 40 feet.

The front upper side has a triangle with height 21 feet.

Now, We find the area of the rectangle.

Area of rectangle is length × breath

=24feet×60 feet  

=1440 square feet

1440 square feet divided by 400 square feet

1440/400=3.6

So, the bran has 2 rectangular sides so 3.6+3.6=7.2

Now, we find the area of square.

Area of square is side × side

=40 feet ×40 feet

=1600 square feet

1600 square feet divided by 400 square feet.

1600/400=4

So, the barn has 2 square side so 4+4=8

Now, we find the area of triangle.

Area of triangle is 1/2×breath ×height.

=1/2×40 feet×21 feet

=1/2×840 square feet

=420 square feet

420 square feet divided by 400 square feet.

420/400=1.05

So, the barn has 2 triangles back and front so 1.05+1.05=2.1

Now, we find the area of roof

Roof is in rectangle with breath 60 feet and height 21 feet

Area of rectangle is length × breath

=60 feet ×21 feet

=1260 square feet

1260 square feet divided by 400 square feet.

1260/400=3.15

So, the barn has 2 rectangle roof so 3.15+3.15=6.3

Now, Adding all the areas we get

=7.2+8+2.1+6.3

=23.6

Therefore, approximately 23 gallons of  pain is need for the one coat of the barn. Option B is correct.

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Answer: 23 gallons

Step-by-step explanation: ANSWER ON EDMENTUM

Please help! Will mark brainlyest.

Answers

Answer:

the letter d does not have symmetry

Step-by-step explanation:

For the transformation to be a translation, which statements must be true? Select four options.

Answers

Answer:

A, B, C, and E.

Step-by-step explanation:

I don’t know how to explain what I did very well.


Tulong bwhahahhahahaha

Answers

1- answer is 4
2- answer is 30
3- answer is 8
4- answer is 3.5
5- 54

Use a system of equations to solve the following problems

1) Find the value of two numbers if their sum is 11.9 and their difference is 0.5.​

Answers

Answer:

The answer is x= 6.2 and y= 5.7

Step-by-step explanation:

Let the two numbers be x and y.

1st condition:

x+y= 11.9 --- (1)

2nd condition:

x-y=0.5--- (2)

Solving 1 and 2

x+y= 11.9 --- (1)

x-y=0.5--- (2)                           (here +y and -y  will get cancelled)

_____________

2x= 12.4

x= 12.4/2 = 6.2

x= 6.2

Now, put x= 6.2 in equation (1)           ( u can put in eqn 2 also)

6.2+y= 11.9

y= 11.9-6.2= 5.7

∴y= 5.7

To recheck you can put the value of x and y in any of the eqns.  

The LHS will be equal to RHS if the values we got are correct.

Hope it helps.

which is greater - 3/4 or - 5/6 ​

Answers

Answer:

-3/4

Step-by-step explanation:

see picture below

Answer:

[tex]-3/4~ > -5/6[/tex]

Step-by-step explanation:

Using the given inputs

[tex]3/4~and~5/6[/tex]

The least common denominator (LCD) is 12.

Rewriting as equivalent fractions with the LCD:

[tex]-\frac{3}{4} ~becomes-\frac{9}{12}[/tex]

And

[tex]-\frac{5}{6}~becomes-\frac{10}{12}[/tex]

Comparing the numerators of the equivalent fractions we have

[tex]-9/12 > -10/12[/tex]

Therefore,  the comparison shows:

[tex]-3/4~ > -5/6[/tex]

Hope this Helps! :3

have a great day! :3

Find the surface area of the prism.

A cube with side edges of 7 yards.


yd2

Answers

Answer:

To find the surface area of a cube, use the formula: surface area = 6s^2, where s is the length of one of the sides. If you don't know the length of the sides, you can find the surface area using volume. Just find the cube root of the volume, which is equal to the length of one side of the cube.

Step-by-step explanation:

((454 x 344)/4) + 4854
Solve order of operations

Answers

Answer:

43,898

Step-by-step explanation:

1. 454 x 344 = 156,176

2. 156,176 / 4 = 39,044

3. 39,044 + 4,854 = 43,898

can u guys please help a poor soul
1/root 5 - root 3

Answers

hope it really helps......!!!!!!

write 6.04*10-3 as an ordinary number

Answers

Answer:

0.00604

Step-by-step explanation:

the exponent - 3 means move the decimal point 3 places to the left

A positive exponent + 3 means move the decimal point 3 places to the right.

6.04 × [tex]10^{-3}[/tex] = 0.00604

Rollie borrowed some money from his sister. Their brother wanted to know how much Rollie borrowed, but Rollie wouldn’t tell him. Instead, Rollie gave his brother a riddle.

“Each month, I paid our sister one-third of the amount I still owed her plus an additional $3. At the end of 3 months, I still owed her $3.”

Solve the riddle to find out how much money Rollie borrowed from his sister.
Explain how you arrived at your solution.

Answers

By working with fractions, we will see that the amount that Rollie borrowed from his sister is $31.50.

How much Rollie borrowed?

Let's say that Rollie borrowed a quantity x.

The first month, Rollie returns one third of x + $3, so now he owes:

x - x/3 - 3 = (2/3)*x - 3

the second month returns another third of what he owes plus $3, so now he returns:

(1/3)*((2/3)*x - 3) + 3 = (2/9)*x + 2

So no he owes:

(2/3)*x - 3 - (2/9)*x - 2 = (4/9)*x - 5

Finally, on the third month he returns:

(1/3)*((4/9)*x - 5) + 3 = (4/27)*x - 5/3 + 3 = (4/27)*x + 4/3

Now he owes:

(4/9)*x - 5 -  (4/27)*x - 4/3 = (8/27)*x - 19/3

And that is equal to $3, what he owes at the end of the third month, so we need to solve:

(8/27)*x - 19/3 = 3

(8/27)*x = 3 + 19/3 = 28/3

Solving for x, we get:

x = (27/8)*(28/3) = 31.5

So Rollie borrowed $31.5 from his sister.

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Select the reason that best supports statement both 2 and 8 in the given proof.​

Answers

It’s probably 10 given proof

What is the five-number summary of this data set? {403, 276, 649, 786, 274, 189, 654, 652, 572} Drag the numbers into the boxes to correctly complete the five-number summary.

Answers

Answer:

Minimum: 189

Maximum: 786

Median: 572

Lower quartile: 275

Upper quartile: 653

Step-by-step explanation:

Listing the numbers in order from least to greatest, we have: 189, 274, 276, 403, 572, 649, 652, 654, 786.

From this, we can see that the smallest (minimum) value is 189, and the largest (maximum) value is 786.

We can find the the median by taking off a number from each side of the number set one by one. When done, we can see that the number in the middle is 572, so that is our median.

To find the upper and lower quartiles, split the number set in half where the median lies and find the median of those two sections.

Q1: 189, 274, 276, 403

274 + 276 = 550

550 ÷ 2 = 275

--------------------------

Q3: 649, 652, 654, 786

652 + 654 = 1306

1306 ÷ 2 = 653

So, the lower quartile range is 275, and the upper quartile range is 653.

hope this helps!

solve each logarithmic equation. Round your answer to two decimal places.
log4 16 = x
my attempt:
log4 16 (x+x) = x
--
x
log 4 (x+16) = 1
(x + 16) = 1
x + 16/1 =17
x+ 16 = 17
x= 8/9

Answers

Answer:

x = 2

Step-by-step explanation:

Given equation

[tex]log_416=x[/tex]

Use the property of logarithm

[tex]log_ab=c[/tex] ⇒ [tex]b = a^c[/tex]

Apply to the given equation

[tex]16 = 4^x[/tex][tex]4^2=4^x[/tex][tex]2 = x[/tex][tex]x=2[/tex]

Let's see

[tex]\\ \rm\Rrightarrow log_416=x[/tex]

[tex]\\ \rm\Rrightarrow 16=4^x[/tex]

[tex]\\ \rm\Rrightarrow 4²=4^x[/tex]

[tex]\\ \rm\Rrightarrow x=2[/tex]

Done!

Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B? 3 = square root of the quantity of x minus 2 all squared plus y minus 4 all squared 3 = square root of the quantity of x minus 4 all squared plus y minus 2 all squared 3 = square root of the quantity of x plus 2 all squared plus y plus 4 all squared 3 = square root of the quantity of x plus 4 all squared plus y plus 2 all squared

Answers

The equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]  

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

For this case, we're specified that:

The coordinates of A are (4,2)

The distance from A to B = 3

Let the coordinates of B be (x,y), and (p,q) = (4,2), then we get;

[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\or\\\\3 = \sqrt{(x-4)^2 + (y-2)^2}\\[/tex]

Thus, the equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]  

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Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98. Which of the following statements
is true?
A) The median of the set of scores is 78.
B) The mean of the set is less than the median.
C) The mode of the set of scores is 93
D) The mean of the set is more than the median.

Answers

A) and b) because the median is the number in the middle which is 78 and as I calculated I got the mean as 84 so the mean is more than the median. Hope I helped!

The mean of the set is less than the median. Option B is correct.

Given that,
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Marks scored by Norberto in 5 spelling tests are 93, 66, 78, 85, and 98.
Mean of marks score = total marks scored / total spelling test
Mean of marks score = (93 + 66 + 78 + 85 + 98) / 5
Mean of marks score = 420 / 5 = 84

Now,
In order to get the median,
Arrange the marks in ascending order,
66, 78, 85, 93, 98
n = 5
median = (n + 1) / 2th term  
             = (5 + 1) / 2th term
             =  6 / 2 = 3 th term
Median = 85
Here, 85 > 84 implies the median is more than the mean.

Thus, the mean of the set is less than the median. Option B is correct.

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I need help with this question really confused

Answers

Answer:

7.722[tex]cm^2[/tex]

Step-by-step explanation:

Work out the area of the circle

By the length of the square, you know the diameter of the circle is 12 cm so the radius is 6cm. Then you can calculate the area of the circle by doing

[tex]6^{2}[/tex]π =36π [tex]cm^{2}[/tex]

Work out the area of the square

12 x 12 = 144 [tex]cm^{2}[/tex]

So the bit not occupied by the circle will be 144- 36π = 30.888 [tex]cm^2[/tex]

However, the shaded area is just 1/4 of this bit so 30.888 / 4 = 7.722 [tex]cm^2[/tex]

The diameter of a circle is 8 inches. What is the angle measure of an arc 37 pie inches long?

Answers

Answer:

135 degrees.

Step-by-step explanation:

Circumference of the circle

= 8pi inches.

8pi equals 360 degrees

So 3pi = (3pi / 8pi) * 360

= 3/8 * 360

= 135 degrees.

solve for m m/5 + 9 = 11

Answers

Answer:

10

Step-by-step explanation:

10

Answer:

10

Step-by-step explanation:

1) -9 on both sides

2) m/5=2

3) multiply both sides by 5

4) m=10

What is the value of x in the equation 1/3x − 2/3 =− 18?

Answers

Answer:

x = -52

Step-by-step explanation:

[tex]\frac{1}{3}x-\frac{2}{3}=-18[/tex]

Let us solve for x.

[tex]\frac{1}{3}x=-18+\frac{2}{3}[/tex]

[tex]\frac{1}{3}x=-\frac{18*3}{1*3} +\frac{2}{3}[/tex]

[tex]\frac{1}{3}x=-\frac{54}{3} +\frac{2}{3}[/tex]

[tex]\frac{1}{3}x=\frac{-54+2}{3}[/tex]

[tex]\frac{1}{3}x=\frac{-52}{3}[/tex]

Use cross multiplication to find the value of x.

[tex]\frac{1x}{3}=\frac{-52}{3}[/tex]

[tex]3*1x=3*-52[/tex]

[tex]3x=-156[/tex]

Divide both sides by 3.

x = - 52

help thanksSSSSSSSSSS

Answers

Answer:

[tex]\boxed{\sf{x=24}}[/tex]

Step-by-step explanation:

GIVEN:

To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

[tex]\sf{\dfrac{8}{7}=\dfrac{x}{21} }[/tex]

First, thing you do is switch sides.

[tex]\sf{\dfrac{x}{21}=\dfrac{8}{7} }[/tex]

Multiply by 21 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }[/tex]

Solve.

Multiply the numbers from left to right.

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

[tex]\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }[/tex]

[tex]\Longrightarrow: \boxed{\sf{x=24}}[/tex]

Therefore, the final answer is x=24.

I hope this helps. Let me know if you have any questions.

Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

£1067.22.

Step-by-step explanation:

Interest I= PRT/100    where P = Initial investment, R = % rate, T = time.

So I = 990*2.6* 3 / 100

= £77.22

So total he will have in the bank

= 990+77.22

= £1067.22.

Where does most regular lightning occur?
A. The stratosphere

B. The troposphere

C. The Mesosophere

Answers

The answer is Troposphere

Find a polynomial f(x) of degree 3 that has the following zeros. 8 ( multiplicity 2) , -4

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficient. The polynomial f(x) is x³-12x²+256=0.

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As the zeros of the polynomial are 8(multiplicity 2), -4. Therefore, the factors of the polynomial can be written as,

[tex]x = 8\\x-8=0[/tex]

[tex]x =-4\\x+4=0[/tex]

Now, the polynomial f(x) which is a third-degree polynomial can be written as,

[tex](x-8)(x-8)(x+4)=0\\\\(x-8)^2(x+4)=0\\\\(x^2-16x+64)(x+4)=0\\\\x^3-16x^2+64x+4x^2-64x+256 = 0\\\\x^3-12x^2+256=0[/tex]

Hence, the polynomial f(x) is x³-12x²+256=0.

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A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.

Write the probability as a fraction in simplest form.

6/25 is incorrect

Answers

Answer:

18/245.

Step-by-step explanation:

Total number of coins = 12+15+23 = 50.

Prob(Karen chooses a dime) = 15/50 = 3/10.

Prob(Mikah then chooses a quarter) = 12/49.  ( Karen has already removed one coin)

Prob(of Karen choosing a dime then Mikah a quarter)

= 3/10 * 12/49

= 36/490

= 18/245.

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