Answers
Slope of BC=-1/6
Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC
We know what BC is perpendicular to AC because they meet at a right angle.
To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.
Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.
And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.
I hope this helps! Please comment if you have any questions.
Related Questions
Karen flies her Cessna Skyhawk aircraft 360 miles with a tailwind of 10 miles per hour in the same time it could fly 300 miles with a headwind of 10 miles per hour. Find the speed of the aircraft.
Answers
Answer:
The speed of the aircraft is 126.667 miles per hour.
Step-by-step explanation:
Let suppose that aircraft travels at constant speed. From Mechanical Physics, we understand speed as travelled distance divided by time. In this case, the absolute speed of the aircraft is the sum of wind speed and speed of the aircraft relative to wind. That is:
Tailwind (Wind flows in the same direction of aircraft)
[tex]t = \frac{s_{T}}{v_{W,T}+v_{A/W,T}}[/tex] (Eq. 1)
Headwind (Wind flow in the direction opposite to aircraft)
[tex]t = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 2)
Where:
[tex]s_{T}[/tex], [tex]s_{H}[/tex] - Travelled distances on tailwind and headwind conditions, measured in meters.
[tex]v_{W,T}[/tex], [tex]v_{W,H}[/tex] - Tailwind and headwind speeds, measured in meters per second.
[tex]v_{A/W,T}[/tex], [tex]v_{A/W,H}[/tex] - Relative speeds of aircraft relative to tailwind and headwind, measured in meters per second.
We proceed to equalize both expressions to eliminate time:
[tex]\frac{s_{T}}{v_{W,T}+v_{A/W,T}} = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 3)
If we know that [tex]s_{T} = 360\,mi[/tex], [tex]s_{H} = 300\,mi[/tex], [tex]v_{W,T} = 10\,\frac{mi}{h}[/tex], [tex]v_{W,H} = -10\,\frac{mi}{h}[/tex] and [tex]v_{A/W,T} = v_{A/W,H}[/tex], then:
[tex]\frac{360}{v+10} = \frac{300}{v-10}[/tex]
The relative speed of the aircraft is now cleared:
[tex]360\cdot (v-10)=300\cdot (v+10)[/tex]
[tex]360\cdot v-3600 = 300\cdot v +3000[/tex]
[tex]60\cdot v = 7600[/tex]
[tex]v = 126.667\,\frac{mi}{h}[/tex]
The speed of the aircraft is 126.667 miles per hour.
Complete the square. Please help ASAP
Answers
[tex]x^2 + 4x + (\frac{4}{2})^2 = x^2 + 4x + 4[/tex]
Answer is 4
Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (333,0). What was the point A where Alice turned?
Answers
9514 1404 393
Answer:
(9, 54)
Step-by-step explanation:
The first road has a slope of 6 on its graph. So, the perpendicular road will have a slope of -1/6, the negative reciprocal of the slope of the original road. Translating that from y=-1/6x the the right by 333 units, the equation of the second road is ...
y = -1/6(x -333)
The point where Alice turned is the point of intersection of these two equations:
y = 6xy = -1/6(x -333)Substituting for y, we have ...
6x = -1/6(x -333)
36x = -x +333 . . . . . multiply by 6, eliminate parentheses
37x = 333 . . . . . . . . add x
x = 9 . . . . . . . divide by 37
So, the point where Alice turned is ...
(x, y) = (9, 6·9)
(x, y) = (9, 54)
Hospital administrator Jake Rosen was recently convicted for fraud he committed against his employer, Cedar Hospital Systems. Over a period of six years, Jake allegedly made payments to a dummy company for maintenance charges while simultaneously running a scheme with maintenance contractors where he either paid them for work never performed or overpaid them for work. The skyscraper where Jake worked was only 10 years old. Maintenance charges rose from $5.2 million in 1994 to $16.4 million in 2000. It was worth noting that the judge on the case questioned whether Cedar Hospital Systems deserved less than full restitution for failing to notice the problem. However, it was determined that federal law on restitution does not allow such charges, so Jake Rosen will be making monthly payments toward the alleged $8 million he stole until he makes full restitution after leaving prison. He was able to quickly repay $3.2 million of the theft with assets recovered by the government, including two homes and a nice yacht. Not bad for a man who was supposed to be making $90,000 per year.
1. In what specific types of fraud was Jake Rosen engaged?
2. The judge questioned whether the hospital should be held partially responsible for not having de- tected the fraud. What could the hospital have done to prevent or detect the fraud earlier?
Answers
Step-by-step explanation:
Employee frauds are one of most common form of frauds which can be detected in a company. There can be many types or forms of employee frauds.
the major types are:
• Asset Misappropriation
• Bribery and Corruption
• Data theft
• Vendor Fraud
• Payroll Fraud
• Accounting Fraud
2. The hospital could have detected the fraud going on earlier if they had consulted the help of an audit firm this could have helped exposed the fraud earlier.
f(x) = x² + x; f(1)??
Answers
Pls mark brainliest
Help meeeeeeeeeeeeee with thisssss please? i’l give brainiest or whatever it is called .
Answers
Answer:
16
Step-by-step explanation:
the amount of peppers are double the amount of servings, 8x2 = 16
Answer:
16
Step-by-step explanation:
8-4/ 4-2= 2
8 x 2= 16
PLSSSS What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.
Answers
Answer:
thank you
Step-by-step explanation:
Select the correct answer.
Which equation is equivalent to the given equation?
–8(x + 13) = 2(1 – 7) + 4x
A -80 + 13 = -2x + 14
-8x + 13 = 6x - 7
-8x - 104 = 60 – 14
-8x - 104 = -2.3 + 14
Answers
Answer:
C. -8x-104=6x-14
Step-by-step explanation:
–8(x + 13) = 2(x – 7) + 4x
-8x-104=2x-14+4x
-8x-104=6x-14
Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.
Answers
Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.
The requried volume of the pyramid is 64.9 cubic meters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:
15.4 / 4 = 3.85
Therefore, the area of the base is:
A = (3.85)² = 14.8225 square meters
The volume of a pyramid is given by the formula:
V = (1/3) * A * h
where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:
V = (1/3) * 14.8225 * 13.1
V = 64.91925 cubic meters
Rounding to the nearest tenth of a cubic meter, we get:
V ≈ 64.9 cubic meters
Therefore, the volume of the pyramid is approximately 64.9 cubic meters.
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Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2
Answers
Answer:
d
Step-by-step explanation:
add all together equals 522
522/10 = 52.2
The mean absolute deviation of the data set of 15.2
What is mean absolute deviation?Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Given is a data set, we need to find the mean absolute deviation for the group,
So,
The mean = 38+45+76+93+50+54+29+44+62+31 / 10
= 522/10 = 52.2
Now finding the absolute deviation =
|52.2-38| = 14.2
|52.2-45| = 7.2
|52.2-76| = 23.8
|52.2-93| = 40.8
|52.2-50| = 2.2
|52.2-54| = 1.8
|52.2-29| = 23.2
|52.2-44| = 8.2
|52.2-62| = 9.8
|52.2-31| = 21.2
The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10
= 152.4 / 10
= 15.24
≈ 15.2
Hence, the mean absolute deviation of the data set of 15.2
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Sean took out a loan for $1000. He repays $50 twice per month on the
loan. The amount of money Sean owes , y, is a function of the number of
months since he took out the loan, x. Write an equation to model the
situation.
Answers
It would be 50x =1000 because x is the loan he took so you need to keep the x in check
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation.
Answers
Answer:
x-intercept: (-4,0)
y-intercept:(0,-2)
Step-by-step explanation:
Answer:
Blue dots are correct
Step-by-step explanation:
I took quiz
Solve for N.
5
6
15
N
Answers
so 6x3=18
so
n= 18
At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answers
Kara has 5 exams scores 58,73,85,83, and 79 in her biology class. What score does she need on the final exam to have a mean grade of 70
Answers
Her final exam will be her 6th exam. To determine the her final exam score we can use this equation:
Mean = All scores/6
70 = (58 + 73 + 85 + 83 + 79 + x )/6 ⇒ x stands for the final exam mark
70 = 378 + x /6 ⇒ Multiple both sides by 6 to cancel it out
420 = 378 + x ⇒ Subtract 378 from both sides to isolate x
420 - 378 = x
42 = x
Therefore, she must get at least 42% on her final to maintain a 70% average.
2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103
Answers
Answer:
3.26 x 102
Step-by-step explanation:
10 squared is 100
3.26 x 100 = 326 because you move the decimal to the right 2 spots
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answers
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
help! for 22 points
Answers
Answer:for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
Step-by-step explanation:
for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
8.
The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question
Answers
Find the scale of the 3 copies
Answers
im sorry but i dont really understand your question :c
Convert 10 pints to quarts.
Use the conversion rate 1 quart = 2 pints
Help
Answers
Answer: Your answer should be 5 quarts.
Step-by-step explanation:
After conversion 10 pints will be equal to 5 quarts .
Given,
Convert 10 pints to quarts.
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now,
Here 10 pints to quarts .
1 quart = 2 pints
Hence ,
10 quarts = 5 pints .
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there were 3,905 more hits on the schools website in january than february. february had 9,854 hits, how many hits did the schools website have during both months
Answers
Answer:
If im not wrong the answer is 23,613.
Step-by-step explanation:
9,854+3,905=13,759+9,854=23,613.
g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year
Answers
Answer:
The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
Step-by-step explanation:
The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n (E)}{N}[/tex]
The number of absences during the past year tabulated by marital status is as follows:
Marital Status 0 Absences 1 - 5 Absences More than 5 Absences
Married 100 98 52
Not Married 77 102 71
Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:
[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]
[tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]
Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
I will give you branilest!
Please answer all of the screenshot questions and the question below.
What does the constant of proportionality represent?
Answers
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. ... Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Can someone help ? Thankssss
Answers
Answer:
im not sure but I think is c
Horses A veterinarian measures a horse to be 7.5
ft tall at the shoulder to the nearest half foot. What
are the minimum and maximum possible heights of
the horse?
Answers
Answer:
Minimum height is 7.25ft and maximum height is 7.75ft
Step-by-step explanation:
You measured to the nearest half foot, so the greatest possible error is 0.25 foot.
Minimum height= measured value-possible error= 7.5-0.25= 7.25ft
Maximum height= measured value+possible error= 7.5+0.25= 7.75ft
A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.
Answers
Answer: 8.75t = c
Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.
What is the answer for 7/10=z/8 please explain steps
Answers
Answer:
5.6
Step-by-step explanation:
Step 1:
7/10 = z/8 Equation
Step 2:
10z = 56 Multiply
Step 3:
z = 56 ÷ 10 Divide
Answer:
z = 5.6
Hope This Helps :)
2. What is the quotient if you divide 15 1/3 by 18/23