There are 8 blue marbles, 6 red marbles, 2 green marbles and 4 black marbles in a box.
What is the probability that the marble is not green?

Answers

Answer 1

the probability that the marble is not green is 0.9 or 90%. This means that if we were to randomly select a marble from the box, there is a 90% chance that it will not be green.

How to solve probability?

To calculate the probability that a marble is not green, we need to first determine the total number of marbles in the box, which is given by:

Total number of marbles = 8 + 6 + 2 + 4 = 20

Next, we need to determine the number of marbles that are not green. Since there are 2 green marbles, the number of marbles that are not green is given by:

Number of marbles that are not green = 20 - 2 = 18

Finally, we can calculate the probability of selecting a marble that is not green by dividing the number of marbles that are not green by the total number of marbles in the box, as follows:

Probability of selecting a marble that is not green = Number of marbles that are not green / Total number of marbles

= 18 / 20

= 0.9 or 90%

Therefore, the probability that the marble is not green is 0.9 or 90%. This means that if we were to randomly select a marble from the box, there is a 90% chance that it will not be green.

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Related Questions

A radioactive substance decays at a continuous rate of 14.4 % per day. After 15 days, what amount of the substance will be left if you started with 140 mg? (a) First write the rate of decay in decimal form. r = (b) Now calculate the remaining amount of the substance. Round your answer to two decimal places.

Answers

Answer:(a) The rate of decay is 14.4% per day, which can be written as a decimal by dividing by 100: r = 0.144.

(b) The formula for continuous decay is given by:

A = A₀ * e^(-rt)

where A is the remaining amount of the substance after time t, A₀ is the initial amount, r is the rate of decay, and e is the mathematical constant approximately equal to 2.71828.

Plugging in the given values, we get:

A = 140 * e^(-0.144*15)

A = 140 * e^(-2.16)

A ≈ 47.23

Therefore, after 15 days, approximately 47.23 mg of the radioactive substance will be left, rounded to two decimal places.

Step-by-step explanation:

In ΔFGH, g = 910 cm,
m∠G=98° and
m∠H=51°. Find the length of h, to the nearest 10th of a centimeter.

Answers

In ΔFGH,  the length of h is 714.2 cm

Let us assume that in ΔFGH, f represents the opposite side to angle F, g represents the opposite side to angle G,  and h represents the opposite side to angle H.

Consider the following figure.

Using sine rule for triangle FGH,

sin F/f = sin G/g = sin H/h

Consider equation sin G/g = sin H/h

sin(98°) / 910 = sin(51°) / h

We solve this equation for h.

h = (sin(51°) × 910)/ sin(98°)

h =  (0.777 × 910)/ 0.99

h = 714.21

h = 714.2 cm

This is the required length of h.

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1. Which of the following is a set or not?

(a) A=Set of tall man
(b) B=Set of beautiful women
(c) C=Set of tall students of class 10
(d) D=Set of counting number
(e) E=Set of good students
(f) F=Set of yellow roses​

Answers

Answer:

Step-by-step explanation:
Set of tall students of class 10 is a set. Thus, option C is the correct answer.

A set is defined as objects or things that can be justified as similar things combined together and grouped together.

The other sets are not specified. When we look at option A it is said that all the men are tall so they have a common factor i.e. they are tall but could have been more specified. Also in option B it is said that all the women are beautiful, here the common factor is beautiful but it could have been more specified. Similarly option d, option e and option f are also not specified.

When we look at option c, here it specified that the tal students are of class 10 and so I consider option "c" is the correct answer.

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Graphing Geometry. Show work

Answers

A graph of the reflection of line segment AB is shown on the coordinate plane below.

What is a reflection across the x-axis?

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = x would interchange (switch) the x-coordinate and y-coordinate and this is represented by the following transformation rule:

(x, y)                                    →              (y, x)

Ordered pair A = (4, -1)    →        Ordered pair A' = (-1, 4).

Ordered pair B = (4, 5)    →        Ordered pair B' = (5, 4).

In this exercise, we would use an online graphing calculator to plot the image of line segment AB after a reflection about the line y = x.

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The solution for x in the equation (x – 7)^2 = 36 are x = 13 and x = 1

Solving for x in the equation

We can solve for x by taking the square root of both sides of the equation:

(x – 7)^2 = 36

Taking the square root of both sides:

x - 7 = ±6

Adding 7 to both sides:

x = 7 ± 6

Therefore, the values of x are:

x = 7 + 6 = 13

x = 7 - 6 = 1

So the correct answers are x = 13 and x = 1. The values x = -29 and x = 42 are not solutions to the equation.

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50 Points! Solve the equation or inequality. Please show as much work as possible. Photo attached. Thank you!

Answers

The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41

Solving the equations or inequalities for w

From the question, we have the following parameters that can be used in our computation:

5ʷ ⁺ ³ = 17

Take the logarithm of both sides of the equation

So, we have

w + 3 = ln(17)/ln(3)

Evaluate the quotient on the left side of the equation

This gives

w + 3 = 2.59

So, we have

-3 + w + 3 = 2.59 - 3

Evaluate

w = 0.41

Hence, the equation when solved for w is approximately w = 0.41

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The formula v= √√2gh gives the velocity v, in feet per second, of an object after it falls h feet accelerated by gravity g, in feet
per second squared. If g is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 96 feet
per second.

Answers

We can rearrange the formula to solve for h:

v = √√2gh

Squaring both sides: v^2 = 2gh

Dividing both sides by 2g: h = v^2 / 2g

Substituting v = 96 ft/s and g = 32 ft/s^2, we get:

h = (96 ft/s)^2 / (2 × 32 ft/s^2)

h = 288 ft

Therefore, the object has fallen 288 feet.

Please help me who knows how to do this

Answers

X^2 - x - 12

Step 1: X^2+3x-4x-12

Step 2: (X^2+3x)+(-4x-12)

Step 3: X(x+3)-4(x+3)

Answer: (x-4)(x+3)

Anna baked 4 batches of cookies with c cookies in each batch she then ate 8 cookies there were 72 cookies left after Anna ate her cookies

Answers

The expression for the number of cookies Anna has left is [tex]3c - 8[/tex].

What does an expression means?

An expression refers to statement that have minimum of two numbers or variables or both and an operator connecting them.

The total number of cookies Anna baked is:

= 3 batches * c cookies/batch

= 3c cookies

After eating 8 cookies, Anna has left:

= 3c cookies - 8 cookies

So, the expression for the number of cookies Anna has left is [tex]3c - 8[/tex].

Full question "Anna baked 3 batches of cookies with c cookies in each batch she then ate 8 cookies. How many cookies does anna have left write your answer as an expression.

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Rebecca invests 600 into an account with a 2.7% interest rate that is compounded quarterly. How much money will she have in this account if she keeps it for 10 years

Answers

The accrued value of the account in 10 years is $641.75

Determining the accrued value of the account in 10 years

From the question, we have the following parameters that can be used in our computation:

Rebecca invests 600 in an account2.7% interest compounded quarterly

Using the above as a guide, we have the following:

Amount = P * (1 + 0.25r)ᵗ

Where

P = Principal = 600

r = Rate = 2.7% = 0.27

t = time = 10

Substitute the known values in the above equation, so, we have the following representation

Amount = 600 * (1 + 0.25 * 0.27)¹⁰

Evaluate

Amount = 641.75

Hence, the amount is 641.75

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Evaluate the determinant
1
03
03
0)2
w2
1 , where w is a cube root
co
2 1 o
of unity.

Answers

In this case, the cube root is = 0

Why is this so?

We can use the rule Sarrus to evaluate the determinant

1 w w²

w w² 1

w² 1 w

Starting with the first column, we can wrte out the terms for the diagonal products and

then sum the terms for the products of the diagonal elements that wrap around

(1 x w² x  w) +(w x 1 x w²) + (w² x w x w)    - (w ² x w x 1) - (w x w² x w) - (1 x w x w ²)

Simplifying each term:

w³ +   w³ + w³ -   w³ -w³   - w³

We can see that all the terms cancel   out, leaving us with a determinant of 0. So it is clear that

|1 w w²|

|w w² 1 |

|w² 1 w | = 0

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Evaluate the determinant 1 w w2 , w w2 1, w2 1 w. where w is a cube root of unity.

Which number is irrational?

0.020202
0.8
0.333...

Answers

All the numbers are rational numbers.

We have,

Rational numbers are those numbers that are terminating and recurring non-terminating.

Irrational numbers are those numbers that are non-terminating and non-recurring.

The numbers are:

1)

0.020202

This is non terminating recurring number.

It is a rational number.

2)

0.8

This is a terminating number.

It is a rational number.

3)

0.020202

This is non terminating recurring number.

It is a rational number.

Thus,

All the numbers are rational numbers.

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The height y(in feet) of a ball thrown by a child isy=−114x2+2x+3

where x is the horizontal distance in feet from the point at which the ball is thrown.

(a) How high is the ball when it leaves the child's hand? (Hint: Find y
when x=0)
Your answer is y=____

(b) What is the maximum height of the ball? _____


(c) How far from the child does the ball strike the ground?_____

Answers

(a) When the ball is thrown, x = 0. Therefore, we can find the height of the ball when it leaves the child's hand by substituting x = 0 into the equation:

y = -114(0)^2 + 2(0) + 3
y = 3

So the ball is 3 feet high when it leaves the child's hand.

(b) The maximum height of the ball occurs at the vertex of the parabola. We can find the x-coordinate of the vertex using the formula:

x = -b/2a

where a = -114 and b = 2. Substituting these values, we get:

x = -2/(2*(-114)) = 0.0088

We can find the maximum height by substituting this value of x into the equation:

y = -114(0.0088)^2 + 2(0.0088) + 3
y ≈ 3.036

So the maximum height of the ball is approximately 3.036 feet.

(c) To find how far from the child the ball strikes the ground, we need to find the value of x when y = 0. We can solve the equation for x:

-114x^2 + 2x + 3 = 0

Using the quadratic formula, we get:

x = (-2 ± sqrt(2^2 - 4*(-114)*3))/(2*(-114))
x = (-2 ± sqrt(9252))/(-228)

We can ignore the negative root since the ball is moving in the positive x-direction. Simplifying the expression for the positive root, we get:

x = (-2 + sqrt(9252))/(-228) ≈ 0.232

So the ball strikes the ground approximately 0.232 feet away from the child.

What is the equation through the points: (-7, -3), (1, 2)
ASAP please

Answers

The equation of the line passing through the points (-7, -3) and (1, 2) is [tex]y = \frac{5}{8}x + \frac{11}{8}[/tex].

What is the equation of the line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

First, we determine the slope of the line.

Given the two points are (-7, -3) and (1, 2)

We can find the slope of the line by using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values, we get:

m = (2 - (-3)) / (1 - (-7))

m = 5/8

Using the point-slope form, plug in one of the given points and slope m = 5/8 to find the equation of the line.

Let's use the point (-7, -3:

y - y₁ = m(x - x₁)

[tex]y - (-3) = \frac{5}{8}( x - (-7) ) \\\\y + 3 = \frac{5}{8}(x + 7 )\\\\y + 3 = \frac{5}{8}x + \frac{35}{8} \\ \\y = \frac{5}{8}x + \frac{35}{8} - 3\\\\y = \frac{5}{8}x + \frac{11}{8}[/tex]

Therefore, the equation of the line is [tex]y = \frac{5}{8}x + \frac{11}{8}[/tex].

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‼️‼️‼️‼️WILL MARK BRAINLIEST‼️‼️‼️‼️

Answers

Answer:

S = 2π(14^2) + 2π(14)(154)

= 2π(196) + 2π(2,156)

= 4,704π = 14,778.1 ft^2

Using 3.14 for π:

S = 4,704(3.14) = 14,770.6 ft^2

The earrings that Mrs.Moore wants to buy are $55.00. She won’t buy them until they are at least 45% off. What is the most that Mrs.Moore is willing to spend?

Answers

Answer:

$30.25

Step-by-step explanation:

55% of 55$ is $30.25. she wants 45 % off of 55$. which is $24.75. 55-24.75 is 30.25

$30.25

since it's 45% off, you need to subtract 45% from 100%

100%-45%=55%

then turn the % into a decimal

55%/100=0.55

now multiply the original price by 0.55

0.55*55=30.25

if you help I would be so thankful

Answers

Answer:

I put the answer on the attachment please look

Solve for w.

w − 5
4
= 2

Answers

The value of the variable w is 56

What are algebraic expressions?

Algebraic expressions are described as expressions that are composed of terms, variables, factors, coefficients and constants.

Also, algebraic expressions are made up of mathematical or arithmetic operations, such as;

AdditionBracketSubtractionParenthesesMultiplicationDivision

From the information given, we have the algebraic equation as;

w - 54 = 2

To determine the value of the variable, we take the steps;

collect the like terms

w = 2 + 54

Now, add the values

w = 56

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Solve the equation for the indicated variable

X= (simplify your answer)

Answers

B = (715x) / (h^2)

Step 1: Get rid of the denominator by multiplying both sides by h^2

(B)(h^2) = 715x

Step 2: Isolate x by dividing both sides by 715

(Bh^2) / 715 = x

Answer: x = Bh^2 / 715

Hope this helps!

what is the probability that either event will occur

Answers

The probability that either event will occur is 7/25

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space /Total outcome

P(A or B) = P(A) +P(B) -P(A and B)

The total element = 25+5+15+5 = 50

therefore total outcome = 50

P(A) = 25/50

P(B) = 15/50

P(A and B) = 5/40

Therefore P(A and B) = 25/50+15/50 - 5/50

= 35/50 = 7/25

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9. (a) The scale model of the rocket stood 54 inches high. What was the height of the actual rocket?
(b) Find the height of the actual rocket in feet.
10. The volume of the rocket in problem 9 is how many times the volume of the model?

Answers

The actual rocket height is 1080 inches and the height of the actual rocket is 90 feet.

How to calculate the value

If the 1/20 scale model of the rocket stands 54 inches high, we can find the height of the actual rocket by multiplying the height of the model by 20:

Actual rocket height = 54 inches x 20 = 1080 inches

In order to convert inches to feet, we divide by 12:

Actual rocket height = 1080 inches / 12 = 90 feet

Therefore, the height of the actual rocket is 90 feet.

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The 1/20 scale model of the rocket stood 54 inches high What was the height of the actual rocket?

(b) Find the height of the actual rocket in feet.

3d *5d*2=?
Please what is 3d times 5d times 2

Answers

Answer:

[tex]30d^2[/tex]

Step-by-step explanation:

Seven days a year, Tiger Stadium becomes the fifth largest city in the state of Louisiana. Over 92,000 fans pack the stadium to watch the Tigers play. After the game, if the fans leave at a rate of 10% per minute, how long will it take before the stadium is half empty?

1. Find the data using at least 10 numbers in the x column.
2. Create a scatter plot. Label the graph and show increments.
3. Write an exponential equation.
4. Interpret the meaning of the "a" and "b" in your function y=ab^x including the units.
5. Find out how long it will take before the stadium is half empty and all the way empty.

Answers

1. To find the data, we can use the formula:

y = 92000(0.9)^x

where y is the number of fans remaining in the stadium after x minutes.

Using this formula, we can plug in x values from 0 to 30 (or more) to generate a table of values:

| x | y |
|------|---------|
| 0 | 92000 |
| 1 | 82800 |
| 2 | 74520 |
| 3 | 67068 |
| 4 | 60361 |
| 5 | 54325 |
| 6 | 48892 |
| 7 | 43903 |
| 8 | 39313 |
| 9 | 35082 |
| 10 | 31174 |

2. Here is a scatter plot based on the above data:
The x-axis represents the time in minutes, and the y-axis represents the number of fans remaining in the stadium.

3. The exponential equation that best fits the data is:

y = 92000(0.9)^x

where y is the number of fans remaining in the stadium after x minutes.

4. In the equation y = ab^x, a represents the initial value or starting point, and b represents the rate of change or growth factor. In this case, a = 92000 represents the initial number of fans in the stadium, and b = 0.9 represents the rate at which the number of fans decreases per minute. The units of a are fans, and the units of b are fans per minute.

5. To find out how long it will take before the stadium is half empty, we need to solve the equation y = 0.5a for x:

0.5a = 92000(0.9)^x

0.5(92000) = 92000(0.9)^x

0.5 = 0.9^x

Taking the logarithm of both sides, we get:

log(0.5) = x log(0.9)

x = log(0.5) / log(0.9)

x ≈ 7.72 minutes

Therefore, it will take approximately 7.72 minutes for the stadium to be half empty.

To find out how long it will take for the stadium to be completely empty, we need to solve the equation y = 0 for x:

0 = 92000(0.9)^x

Taking the logarithm of both sides, we get:

log(0) = x log(0.9)

This equation has no real solution, which means that the stadium will never be completely empty (in theory). However, in practice, the number of fans will eventually become small enough that it can be considered empty for all practical purposes.

Can someone help me I dont understand this :(

Answers

Check the picture below.

Help please!!!!
Whoever answers right gets brainliest!

Answers

Answer:

25

Step-by-step explanation:

To solve this problem you have to use this formula [tex](\frac{b}{2})^{2}[/tex] it. So in this case b is the term next to the x term. This number is 10. So all we have to do is insert it into the formula. This would give us:

[tex]=(\frac{10}{2})^{2}\\\\=(5)^{2}\\\\= 25[/tex]

The constant term is 25.

Could I get Brainilest, please? I'm trying to get to the expert level

At the time of her grandson's birth, a grandmother deposits $14,000 in an account that pays 4.5% compounded
monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits
or withdrawals are made during this period?
i Click the icon to view some finance formulas.
The value of the account will be $
(Round to the nearest dollar as needed.)
4

Answers

Answer:

The value of the account will be $5,628

Step-by-step explanation:

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

 

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have    

substitute in the formula above  

therefore

The value of the account will be $5,628

Find ​f(−3​), ​f(0​) and ​f(1​) for the following function.
​f(x)=2x

Answers

Answer:

-6, 0, 2

Step-by-step explanation:

f(x)=2x

note: putting anything in the f(x) parentheses replaces x in the function with that value

so,

f(-3) = 2(-3) = -6

f(0) = 2*0 = 0

f(2) = 2(2) = 4

Find relative extrema (x, y) of a function h(x) = x^3 + 3x^2 − 2 using
(a) the first derivative test
(b) the second derivative test
Which test is easiest?

Answers

a) Based on the first derivative test, h(x) has a relative minimum at x = -2 and a relative maximum at x = 0.

b)  For x = -2: h''(-2) = 6(-2) + 6 = -6 < 0, so h(x) has a relative maximum at x = -2.

For x = 0: h''(0) = 6(0) + 6 = 6 > 0, so h(x) has a relative minimum at x = 0.

What is the calculus?

Calculus is a branch of mathematics that deals with the study of rates of change, accumulation, and the properties and behavior of functions.

(a) First derivative test:

The first derivative test involves finding the critical points of the function, where the first derivative is equal to zero or undefined, and then checking the sign of the first derivative in the intervals between the critical points to determine whether the function has relative extrema at those points.

Find the first derivative of h(x):

h'(x) = 3x² + 6x

Set h'(x) = 0 and solve for x to find the critical points:

3x² + 6x = 0

x(x + 2) = 0

x = 0 or x = -2

Test the intervals between the critical points using the sign of the first derivative:

For x < -2: Choose x = -3, h'(-3) = 27 + (-18) = 9 > 0, so h(x) is increasing.

For -2 < x < 0: Choose x = -1, h'(-1) = 3 - 6 = -3 < 0, so h(x) is decreasing.

For x > 0: Choose x = 1, h'(1) = 3 + 6 = 9 > 0, so h(x) is increasing.

Based on the first derivative test, h(x) has a relative minimum at x = -2 and a relative maximum at x = 0.

(b) Second derivative test:

The second derivative test involves finding the critical points of the function using the first derivative, and then checking the sign of the second derivative at those points to determine whether the function has relative extrema at those points.

Find the second derivative of h(x):

h''(x) = 6x + 6

Evaluate the second derivative at the critical points found in step 2 of the first derivative test:

For x = -2: h''(-2) = 6(-2) + 6 = -6 < 0, so h(x) has a relative maximum at x = -2.

For x = 0: h''(0) = 6(0) + 6 = 6 > 0, so h(x) has a relative minimum at x = 0.

Hence, the ease of a test may vary for different individuals and their familiarity with calculus concepts.

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solve for x, neg x over 4 = 12 A 48 or B -3 or C 3 or D -48?

Answers

The solution for x is -48, the answer is D) -48.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a value that can change based on the values assigned to the variables.

Starting with:

x:4 = 12

Multiplying both sides by -1 gives:

(-x÷4) = -12

Simplifying the left side:

x÷4 = -12

Multiplying both sides by 4 gives:

x = -48

Therefore, the solution for x is -48, the answer is D) -48.

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A store has 300 televisions on order, and 90% are high definition. How many televisions on order are high
definition? You may find the bar model useful in completing this problem.
20% 30% 40%
70%
0%
0
10%
30
The store has
50% 60%
high-definition televisions on order.
80%
90%
100%
300

Answers

Answer:

90% of 300 = .90 × 300 = 270 high- definition televisions on order.

Other Questions
A card is drawn from a deck of 52 cards. What is the probability that it is a 3 or a spade? A quadrilateral has a total area of 36. 18 square inches. One of the sides measures 6. 7 inches. How long is the other side? inches(do not include any words in the answer blank) Why did militarism erode diplomacy For the function value f(9)=6, write a corresponding ordered pair. What do you think the author means by the lines:"In Spanish. My name is a muddy color. It is the Mexican records my father plays on Sunday mornings when he is shaving, songs like sobbing," explain one cultural or economic development in the late twentieth century that would explain Bartons argument about the impending decline of the west in the second paragraph? Egypts Black Land was caused byA. The damming of the Nile River. B. Pollution created by farmers. C. The deserts surrounding the Nile. D. Yearly flooding of the Nile PLSSS HELP AND PLEASE SHOW WORK ASWELL Collin has 100 feet of fencing to enclose a pen for his puppy. He istrying to decide whether to make the pencircular or square. He plans to use all of thefencing. Part A.) If Collin uses all of the fencing, whatwould be the area of each pen? Use 3.14for pie. Round to the nearest hundredth ifnecessary. Part B.) To have the largest possible area for the pen, which pen should Collin build? Alpha company loaned $5,000 to beta company on october 1, year 1 at 6% interest. on december 31, year 1 alpha company's financial statements will report accrued interest of ______. Draw the path of the light ray until it reaches point X. Show how the change in the speed of the light ray affects its direction as it passes from one medium to another. Remember, light travels more slowly in glass than it does in air. Hint: The light will bend both when it enters and when it exits the glass! during wwii, depleted nfl rosters forced two teams to play as one under what name? CommonLit: Spies in Petticoats(Please help quickly)How did women spies affect the outcome of the Civil War Employees at a local lumber company had a percentage of the company's profits placed in their retirement plan when the company exceeded their targets for the year. What type of pay plan is this? Select one: a. team reward b. gainsharing c. profit sharing d. stock options Why do you think the Second Great Awakening became the chief motivation for change and reform? the state of new jersey is divided into 21 counties. the counties population range from just over 60,000 people to almost 1,000,000 people. The median country population is 445,349 people, and the interquaritle range is 467,983 people. what is the typical population of a new jersey county? Which words are in the future in Spanish? Please choose only the words in the future. Explain. 1. amar 2. Dolor 3. ir4. casar5. dormir6. trabajar The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 3 Inches per second. At what rate is the volume of the cone changing when the radius is 40 inches and the height is 20inches? The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 25 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways:(a) Using the Pythagorean Theorem. (b) Using trigonometry tim can paint a room in 6 hours . bella can paint the same room in 4 hours . how many hours would it take tim and bella to paint the room while working together y=kx+bplease help me now. write down the relation between AD and BC from the given figure from the attachment.