Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?

Answers

Answer 1

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.


Related Questions

A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices

Answers

$72.25 before tax of course

Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

1,200×30%×25%×3% lempiras

Answers

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

According to this diagram, what is sin 23°?
67°
13
5
23°
90°

Answers

The value of sin(23°) is equivalent to 0.39.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Given is to find the value of sin 23°.

Now, we can write the value of sin(23°) as -

sin(23°) = sin(30° - 7°)

Expanding using the compound angle formula, we can write -

sin (x - y) = sin(x) cos(y) - cos(x) sin(y)

sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.39

Therefore, the value of sin(23°) is equivalent to 0.39.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?

Answers

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]

A similar problem is given at https://brainly.com/question/24483829

Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72

Answers

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

Read more about rational expressions at:

https://brainly.com/question/25292194

11/6= 1/p



Pls help!!

Answers

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?

Answers

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?

Answers

Answer: C. x = 4 and x = 6

Step-by-step explanation:

Zeros of a function would be the value of x when f(x) is 0.

Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.

The graph hits the x-axis at 4 and at 6.

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?

Answers

Total = 65
65-23=42
42/3=14
Each necklace = $14

Please help me due on Friday

Answers

Answer:

Galaxies are moving closer together as time progresses

Step-by-step explanation:

Let me know if this helps!

What is the slope of the function?
O-6
O 4
O 4
O 6

Answers

Answer:

12/2 = 6

Step-by-step explanation:

2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1

answer:

Step-by-step explanation:

I hope she is correct answer

ramin must calculate 8.42 divided by 3.6 longhand but can't remember what to do about decimal points

Answers

Answer:

He should change 3.6 to 36

and

he should change 8.42 to 84.2

He should also move the decimal up when dividing like in the picture I posted.

Step-by-step explanation:

I other words, he should shift the decimal points to the right one

I hope that I could help!

He should also move the decimal up when dividing in the picture that is posted.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to find 8.42 divided by 3.6 longhand.

8.42 / 3.6

= 2.33

He should change 3.6 to 36 and he should change 8.42 to 84.2

He should also move the decimal up when dividing in the picture that is posted.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ2

Soraya earned $40 in October. She earned $50 in
November.
What is the percent increase or decrease in Soraya's monthly earnings?
A. 15% decrease
B. 30% increase
C. 25% increase
D. 20% decrease

Answers

25% increase.

Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.

What is the slope of the line through (-3, 3) and (-1,-1)?
2
(1-1)
O A. 2
O B.-2
O c.
OD. -

Answers

It’d be B, -2

You move right one space and then down two spaces

find the radius of a circle with an area of 100 in^2

I will give brainliest and 25 points!

Answers

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

with a diameter of 9 cm
Use their work to answer
questions 1-2
A-3.14
A-254.34
1 Describe Ben's mistake in solving for the
area of the circle.

Answers

Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.

Based on a​ poll, 63% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among four randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond? The probability that at least one of them is careful about personal information is

Answers

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

brainly.com/question/27813780

#SPJ2

Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.

When y=45 , x=40 .

Answers

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x

Hemp help help help help help math math math

Answers

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

What are the coordinates of the x-intercept of the line -3x-5y=12?

Answers

well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".

[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]

A weather forecaster has a 60% chance of predicting the weather correctly today. If she is correct, then the probability of being correct the next day is 80%. If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day. What is the probability that the forecaster will predict the weather correctly in exactly two of the next three days?

Answers

Answer:

According to the National Weather Service, if you see a 40 percent chance of rain, "there is a 40 percent chance that rain will occur at any given point in the area."

Step-by-step explanation:

The probability that the forecaster will predict the weather correctly in exactly two of the next three days is 0.48 or 48%.

What is the chain rule in probability?

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is the probability of occurrence of A given that B already occurred.

A weather forecaster has a 60% chance of predicting the weather correctly today.

If she is correct, then the probability of being correct the next day is 80%.

If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day.

Let the chance of predicting the weather correctly today be A.

Let the chance of predicting the weather correctly the next day be B.

Then the probability that the forecaster will predict the weather correctly in exactly two of the next three days will be

[tex]P(A \cap B) = P(A)P(B|A) = 0.6 \times 0.8 = 0.48[/tex]

More about the chain rule of probability link is given below.

brainly.com/question/1210781

what as 9 squared? i need this

Answers

81 I think, I hoped this helped

Please help!!! if i can ill give brain thing sometimes it wont let me!!

Answers

Answer:

1)24

2)15

3)5

4)48

Step-by-step explanation:

Answer:

I'm answering 1 and 2, okay?

Step-by-step explanation:

Q1: 24,36,12

Q2: 12, D

Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.

Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.

And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)

please help 368.9 − 234.78

Answers

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

What’s 28,561 in expanded form

Answers

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25

Answers

Answer:

False

Step-by-step explanation:

The sides are not equal.

Help help help help help math math please please pelsss

Answers

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?

Answers

The International Financial Reporting Standards developed standards can

be implemented to ascertain the provisions and disclosures to be made.

The correct responses are;

According to the financial reporting standard, the contingent liability that

Amazon Inc. should disclose and the provision that Amazon Inc. should

recognize, based on the legal consent are;

Lawsuit 1: It is not required to make provision or disclosure because the

probability of the lawsuit progressing is remote and therefore, the

Company will not be required to payout money or lose economic benefits.

Lawsuit 2: The likelihood of the Company having pay the displaced

employees is high however, the amount payable is $2 million, and

therefore, a provision of $2 million is required in the financial reporting.

Lawsuit 3: The Company is not legally obliged to pay for or perform the

cleanup, but based on the relationship between the Company's waste

location, the river, and the community, there is a constructive obligation,

the amount of which cannot be determined with reliability.

Therefore, there is a requirement for disclosure as a contingent liability,

and not a provision as the claim cannot be classified as a provision.

Learn more here:

https://brainly.com/question/17371330

A car travels a constant speed of 45 km/h


3.4.1 The distance travelled in 6 hours?

3.4.2 The time it takes to travel 495 km?​

Answers

Answer:

1 hour

Step-by-step explanation:

because i divided

A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?

Answers

Answer:

81:36

Step-by-step explanation:

117-36

= 81

Boom answer that's it

The ratio of empty spaces to filled spaces is 9 : 4.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

A parking lot has total = 117 spaces

Spaces filled with cars = 36

spaces left = total spaces - space filled with cars

spaces left = 117 - 36

spaces left = 81

Now, the ratio of empty spaces to filled spaces will be :

81 : 36

cancelling common factor that is 9 :

9 : 4

Therefore, the ratio of empty spaces to filled spaces is 9 : 4.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

Other Questions
which lipid composition option has the least membrane fluidity? y varies jointly as x and z. If y = 5 when x = 3 and z= 4, find y when x = 6 and z = 8. mrs zan asked me,"have you seen my dog?"(chang into indrict speech) What is the symmetry technique in Blender that allows you to create one side of a character and have the other side automatically generated to match? 1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-fivedollars for each hour the crew works. One day the crew works c hours and charges atotal amount of one thousand, six hundred five dollars. How many hours does the crewwork? What is the weight of one serving chiken Identify the slope!! Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour? receptors for neurotransmitters are of primary functional importance in assuring one-way synaptic transmission because they are mostly found on the _____. An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring 9 inches and places them side by side along the hallway that has a length of 24 feet, how many paintings does the designer hang? in a friend group of girls thats 5'2 5'3 and 5'5 height whos most likely to be the cutest Which equation can be simplified to find the inverse of y = 2x2? Will the value of each power will be + or - ?4. (-645. (-3)?Plzzz help explain one weakness of using the human nervous system to explain human behaviour Pls only help if you know the correct answer! Thanks!! :)) Please help me with this homework Ancient Egypt was a river valley civilization. true or false How to tell if something is a function. monumental stone crosses were influenced by ____________. What is primary difference between the header section of a document and the body