Explain a method to find the area of triangle QRS given that RT is perpendicular QS. Then find the area. Show your work.
Answers
Applying the distance formula to find the base and height of the triangle, the area of the triangle is calculated as: 17.85 units².
How to Find the Area of a Triangle?Area of triangle = 1/2(base)(height).
The base of triangle QRS is QS.
The height of triangle QRS is RT.
Use the distance formula [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find the length of QS and RT:
Q(2, 4) = (x1, y1)
S(8, -2) = (x2, y2)
QS = √[(8−2)² + (−2−4)²]
QS = √72
QS ≈ 8.5 units
R(6, 6) = (x1, y1)
T(3, 3) = (x2, y2)
RT = √[(3−6)² + (3−6)²]
RT = √18
RT ≈ 4.2 units
Area of triangle QRS = 1/2(8.5)(4.2)
Area of triangle QRS = 1/2(35.7)
The area of triangle QRS = 17.85 units²
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Related Questions
What is a two step problem with variables on each side equal 21? (Please help)
Answers
5x-16=5+4x
+16+5
5x=21+4x
-4x -4x
x= 21
Step-by-step explanation:
if 5x is the average of two numbers and one of the numbers is 3, what is the other number?
Answers
4x
5+4/2=5 imput x since you cant forget your variable
What is −10 + |−4| − |−12|?
Answers
Answer:
-18
Step-by-step explanation:
-10 + |-4| - |-12| Since there are the | |, then any negative number inside would become a positive as it will become its absolute value, which for -4, would be 4, because it is 4 spots away from the 0 on a number line and vice versa.
-10 + 4 - 12 Answering from left to right,
-10 + 4, if you would rather make it so they are both equal, you change the + to the opposite which would be - and change the 4 back to a negative because that is what it would be if you changed the equation to be subtraction instead to be easier as they would both be negatives now, so you would subtract -10 - -4 and get -6.
-6 - 12. Again, switch the - to the opposite, which is +, and then make 12 the opposite that it was before so they both share the same symbol, making it
-6 + -12, which would be -18.
The set of all numbers less than or equal to −4 or greater than 0.
Answers
Answer:
Step-by-step explanation:
-4 ≥ x
-0 ≤ x
I don't think you can combine this into one statement.
Your line looks something like
<---------------O O------------------------->
-4 -0
Shade in the 2 Os. The shaded in Os are included in the way the line looks.
22. a. In 1990, Nadezhda Ryashkina set the record for the 10,000 m race-walking event. She finished this race in 41 minutes 56.23 seconds. What was Ryashkina's average walking rate, in meters per second?
Answers
Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.
What was Ryashkina's average walking rate?Rate or speed is expressed as distance walked or traveled per unit time.
R = s/t
Given the data in the question;
Distance covered s = 10,000mTime elapsed t = 41 minutes 56.23 secondsRate r = ?First convert 41 minutes to seconds.
⇒ 41min = ( 41 × 60 )s = 2460sec
Now, Elapsed time t = 2460s + 56.23s = 2516.23 second
Next, we determine the rate.
R = s / t
R = 10000m / 2516.23 s
R = 3.97m/s
Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.
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-2x(x-7)
wrong answers only first answer gets brainliest+100 points
Answers
The answer is -2x² + 14X
How to calculate the expression ?The first step is to open the bracket by multiplying both values in the bracket by -2x
-2x(x-7)
= -2x² + 14x
Hence the solution to the expression is -2x² + 14x
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Need help on trying to solve this
Answers
It should be noted that the area of the shaded figure based on the information will be 9600 m².
How to calculate the area?It should be noted that the area of a rectangle is calculated by multiplying the length by the width that's given.
It should be noted that this shape can be used
to form two rectangles and the areas will be added together.
Therefore, it should be noted that the area of the rectangle will be:
= (60 × 60) + (100 × 60)
= 3600 + 6000
= 9600 m²
In conclusion, it should be noted that the area of the shaded figure based on the information will be 9600 m².
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Anna is analyzing her greeting card business's profits. She wants
more than 40% of the price pof her greeting cards to be profit.
If crepresents Anna's cost to make a greeting card, which inequality
represents the desired relationship between price and cost?
Answers
The relationship between the price and cost is p > c.
The cost of manufacturing a product has a direct bearing on its price and the revenue generated by each sale. The cost of a product or service is determined by the customer's willingness to pay. Profit is the sum of the price paid less the costs incurred.
The price of Anna's greeting cards is p.
The cost of making a single greeting card is c.
Anna wants the profit to be 40% of the price of her greeting cards.
Profit = 40% of p
Profit = 40% × p = 0.4p
Now, we know
Price = Profit + Cost
p = 0.4p + c
Therefore, the relationship between cost and price is given by inequality:
p > c
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in a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither
Answers
Answer: The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.
Step-by-step explanation:
According to the question, the total number of students is; 25.
15 of them have a cat
16 of them have a dog
while, 3 of them have neither
The information above are drawn in a Venn diagram in the attached image.
where, x = number if students who own a cat and a dog.
Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.
-x = 25 - 34
In essence, x = 9
Therefore, the number of students who own a cat and a dog is 9.
The probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.
now. John is 9 years How old will he be after 20 years.
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{If John is currently 9 years old and we’re trying to figure out how old he will be}\\\text{in 20 years.}[/tex]
[tex]\text{Let us label your equation to:}[/tex]
[tex]\text{9 - a = 20 OR BETTER YET a - 9 = 20; your “a”-value will be labeled as}\\\text{John future age.}[/tex]
[tex]\textsf{Equation:}[/tex]
[tex]\mathsf{a - 9 = 20}[/tex]
[tex]\textsf{ADD 9 to BOTH SIDES}[/tex]
[tex]\mathsf{a - 9 + 9 = 20 + 9}[/tex]
[tex]\textsf{SIMPLIFY IT}[/tex]
[tex]\mathsf{a = 20 + 9}[/tex]
[tex]\mathsf{a = 29}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{John\ will \ be \ \boxed{\mathsf{29}} \ years \ old}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
lim x 3^ + |6-2x|/ sqrt x-3
Answers
Answer: maybe this will help. try searching this
Lim x 3^ + |6-2x|/ sqrt x-3 Evaluate the expression. to watch this video that I have screenshot down below.
Step-by-step explanation:
How can you find 100% of Carmen's earnings using
the ratio of her earnings to 10%? What is 100% of
Carmen's earnings?
Answers
Carmen's total earning will be 10x when 10% earning is assumed to be x.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Let x be the earning of Carmen's that is equals to 10% of total earning.
Then total earning that is 100% will be equals to the multiplication 10% and x both with 10 :
10%( total earning of Carmen's ) = x
100%( total earning of Carmen's ) = 10x
Therefore, Carmen's total earning will be 10x when 10% earning is assumed to be x.
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8. New-to-You Car Sales zoom in
customers about their overall level of
satisfaction. They take a random sample
of 100 customers who have bought a car
in the last 5 years and mail them each a
survey.
Based on this description, the type of
sampling bias most likely to affect the
surve results is:
Answer choices:
self-selection bias.
nonresponse bias.
undercoverage bias.
8
Answers
The survey results are most likely to be affected by non response bias.
Sampling bias is a form of bias wherein a sample is collected in such a manner that some members of the intended population have a lower or higher sampling probability than others.
Non-response bias is a type of a sampling bias that occurs when people are unwilling or unable to respond to a survey because of a factor that makes them differ significantly from the people who do respond to the survey. The difference between non-respondents and respondents is generally an influencing factor for the former's lack of response. Non response error is very common in mail surveys.
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For a school project, Samuel cuts 4/7-inch discs of metal. How many discs can he make from a metal post that mesures 1/3
foot in length?
Answers
If Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length
Given,
The total length of metal post= [tex]\frac{1}{3}[/tex] foot
Convert foot to inches
1 foot = 12 inches
[tex]\frac{1}{3}[/tex] foot= 4 inches
The length of each disc of metal = [tex]\frac{4}{7}[/tex] inches
Number of metal post that he can cut = Total length of metal post / The length of each disc of metal
[tex]=\frac{4}{\frac{4}{7} } \\=4(\frac{7}{4})\\ =7[/tex]
Hence, if Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length
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The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight
Answers
Based on the variation statement, the variation equation is P = kW
How to determine the pressure equation?The mathematical statement is given as
The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight
A direct variation is represented as ∝
In this case, we have
P = Pressure
W = Weight
So, we have the variation to be
P ∝ W
Express as an equation
P = kW
Where k represents the constant of variation
Hence, the variation equation is P = kW
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What is the median number of 135, 122, 108, 127, 116, 76
Answers
Answer:
119
Step-by-step explanation:
76,108,116,122,127,135
if you cross them out you are left with 116 and 122, when you have 2 numbers you add them together then divide by 2 so that would give 119
hope this works :)
[tex] \frac{108 + 127}{2?} = 117.5[/tex]
Rosie Dry Cleaning was started on January 1, Year 1. It experienced the following events during its first two years of operation: Events Affecting Year 1 Provided $31,130 of cleaning services on account. Collected $24,904 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account. Events Affecting Year 2 Wrote off a $233 account receivable that was determined to be uncollectible. Provided $36,329 of cleaning services on account. Collected $32,151 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.
Answers
a. Organizing the transaction data in accounts under an accounting equation for each year is as follows.
Accounting Equation: Assets = Liabilities + Equity
Year 1:
Cash Accounts = Liabilities + Equity
Receivable
1) $31,130 $31,130 Service Revenue
2) $24,904 (24,904)
3) (311) (311) Bad Debts Expense
Bal. $24,904 $5,915 $30,819
Year 2:
Cash Accounts = Liabilities + Equity
Receivable
Bal. $24,904 $6,226 $30,819 Retained Earnings
1) (233) +233
2) $36,329 $36,329 Service Revenue
3) $32,151 (32,151)
4) (285) (285) Bad Debts Expense
Bal. $57,055 $9,808 $66,863
b. Determining the following amounts is as follows:
Year 1 Year 2
1. Net income $30,819 $36,044
2. Net cash flow from operating activities 24,904 32,151
3. Balance of accounts receivable at the end 6,226 10,171
4. Net realizable value of accounts receivable 5,915 9,808
Transaction Analysis:Year 1:
1) Accounts Receivable $31,130 Service Revenue $31,130
2) Cash $24,904 Accounts Receivable $24,904
3) Bad Debts Expense $311 Allowance for Uncollectible Accounts $311
Year 2:
1) Allowance for Uncollectible Accounts $233 Accounts Receivable $233
2) Accounts Receivable $36,329 Service Revenue $36,329
3) Cash $32,151 Accounts Receivable $32,151
4) Bad Debts Expense $285 Allowance for Uncollectible Accounts $285
Net income for Year 2 = $36,044 ($36,329 - $285)
Net cash flow from operating activities:Year 1:
Net income $30,819
Non-cash expense 311
Accts receivable (6,226)
Cash from operations $24,904
Year 2:
Net income $36,044
Non-cash expense 52 ($285 - $233)
Accts receivable (3,945)
Cash from operations $32,151
Year 1:
Accounts ReceivableAccount Titles Debit Credit
1) Service Revenue $31,130
2) Cash $24,904
Ending balance $6,226
Net Realizable Accounts Receivable = $5,915 ($6,226 - $311)
Year 2:
Accounts ReceivableAccount Titles Debit Credit
Beginning balance $6,226
1) Allowance for Uncollectibles $233
2) Service Revenue 36,329
3) Cash 32,151
Ending balance $10,171
Net Realizable Accounts Receivable = $9,808 ($10,171- $363)
Allowance for Uncollectible AccountsAccount Titles Debit Credit
Year 1:Bad Debts Expense $311
Year 2:Accounts Receivable $233
Bad Debts Expense 285
Balance $363
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Question Completion:Required a. Organize the transaction data in accounts under an accounting equation for each year.
b. Determine the following amounts:
1. Net income for years 1 and 2.
2. Net cash flow from operating activities for Years 1 and 2.
3. Balance of accounts receivable at the end of Years 1 and 2.
4. Net realizable value of accounts receivable at the end of years 1 and 2.
The midpoint
of AB is M(-5, 0). If the
coordinates of A are (-3, 3), what are
the coordinates
of B?
Answers
answer as by using mid point formula and then after equating the corresponding co ordinates we get the answer -7 and -3
A zip line steel cable is being constructed for a reality television competition show. The high end of the zip line is attached to the top of a 50-foot pole, while the lower end is anchored at ground level to a stake 50 feet from the base of the pole. (See figure.) Find exact values for all your answers below.
Answers
Answer:
find the value of 8x³-y³
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer: 3.5
Step-by-step explanation:
To find the length of the missing leg, we need to use the Pythagorean Theorem (a^2 + b^2 = c^2 where c is the hypotenuse)
1) Plug in numbers
2^2 + b^2 = 4^2
2) Square
4 + b^2 = 16
3) Flip Equation and Subtract
16 - 4 = b^2
16 - 4 = 12
4) Square Root of 12
The square root of 12 is ~3.46, so you need to round to the nearest tenth, which is 3.5
A car rental agency rent 190 cars per day at a rate of $40 per day for each one dollar increase in rate five fewer cars are rented at what rate should the cars be rented to produce the maximum income?
Answers
The rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.
Rate and maximum incomeLet y represent the income
Let x represent the increase in rental price after increasing the rental price is 40+x.
Let 190-5x represent the number of cars rental after a rental price increase
Income expression
y=(190-5x) (40+x)
Let differentiate y with respect to x and set y' =0 to determine the maximum income
Hence,
y=(190-5x) (40+x)
=(190) (40) + 190 (x) -5x(40) -5x-(x)
=7600 +190x-200x-5x²
y= -5x² +10x+7600
Differentiate with respect to x
y'=d/dx ( -5x² +10x+7600)
y'=-10x+10x
set y'=0
-10x+10=0
10x=10
x=10/10
x=1
Maximum Rate =40+x
=40+1
=41 Dollars/Day
Maximum Income is
y= ( -5x² +10x+7600)
=(−5(1)²+10(1)+7600)
=−5(1)+10+7600
=5+10+7600
=7615
Therefore the rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.
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2x^2-4x=8 solve using quadratic equation
Answers
Answer:
Answer is 1+- √2
Step-by-step explanation:
[tex] \frac{ - ( - 4) + - \sqrt{ {4}^{2} - 2 \times( - 8) } }{2(2)} [/tex]
[tex] \frac{4 + - \sqrt{32} }{4} [/tex]
[tex]1 + - \sqrt{2} [/tex]
Let f(x) = 2x^2 + 7 and g(x) = x^2+9x-6. Find f(x) - g(x).
A. X^2-11x+13
B. X^2-11x+1
C. X^2+7x+1
D. X^2+7x+13
Answers
Answer: answer should be;
x^2+9x+13
Step-by-step explanation:
hey there;
f {x} - g {x}
=2x^2 + 7 - x^2+9x-6
=2x^2-x^2+9x+ 7-6
=x^2+9x+13
So, this is the following answer. You may mistook the question or the question itself is wrong.
Hope it helps!
Question Progress
Joe summarised this message
Homework Progress
22/
Raise more than £400
and run the
Ingleby marathon for free.
Do a similar thing for this message
Raise at least £900
and run the
Angley marathon for free.
Like this
Use A. again
Run the Ingleby marathon
for free if
A> £400
Run the Angley marathon
for free if
Answers
Run the Ingleby marathon for free if A ≥ £900
Given data
a. Joe raise more than £400 and run the Ingleby marathon for free
Run the Ingleby marathon for free if A> £400
b. Joe raise at least £900 and run the Ingleby marathon for free
Run the Ingleby marathon for free if __________
How to find the completion of the statementThe first part of the statement gives the clue and it rewritten as
a. Raise more than £400 and run the Ingleby marathon for free
Run the Ingleby marathon for free if A> £400
more than £400 is represented as A> £400
The statement means amount greater that £400 and it is written mathematically as A> £400
The second statement is done as follows:
b. Joe raise at least £900 and run the Ingleby marathon for free
Run the Ingleby marathon for free if __________
In this case Joe runs the marathon if the amount is of the that is at least £900, which implies amount of 900 and above or simply put: amount of 900 or more than 900 .
This represented mathematically as: A ≥ £900
Hence we say Run the Ingleby marathon for free if A ≥ £900
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Complete question
The complete question is attached
Alonzo is playing a role playing game with his friends. He will roll dice to determine if his character casts a spell. The odds in favor of his character casting a spell are 13/6. Find the probability of his character casting a spell.
A child has a box full of colored building blocks. If he chooses one block without looking, the probability of choosing a green block is 7/9. What are the odds against choosing a green block?
Answers
A. The probability of his character casting a spell will be 1/6.
B. The odds against choosing a green block is 2/9.
How to calculate the probability?A. It should be noted that probability has to do with the chance of a particular thing happening.
In this case, the odds in favor of his character casting a spell are 1/6, therefore the probability of his character casting a spell is 1/6.
B. When a child has a box full of colored building blocks and he chooses one block without looking, the probability of choosing a green block is 7/9, therefore, the odds against choosing a green block will be:
= 1 - P(green block)
= 1 - 7/9
= 2/9
Therefore, the odds against choosing a green block will be 2/9.
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What is the smallest prime number that divides evenly into 135?
Answers
Find the median, mean, mode, and range of the data.
Answers
Answer:
median:11
mode:11
mean:11.143
range:
Step-by-step explanation:
median is the middle number so you first arrange the numbers in an ascending order after rounding off each number. Then you're gonna cancel one number from the left and one from the right until they remain two numbers then you add them and divide by 2 to get 11
I'm not sure about mode coz it's the most repeated number
mean is where you add all numbers and divide them by the total amount of numbers.
I tried!
Help please with all!!!
Answers
Answer:
Suri= 40.7 Baseball=C 19=19.417 20=11.167 Tens=6 Thousanths=9 Hundreths=7 Tenths=5 Write in standard form=82.007 4.567 72.85
Write in expanded form= 20+4+0.1+0.07 30+6+0.9 1+0.8+0.02+0.004
Step-by-step explanation:
i gotchu
Graph f(x)=3/2x+2
Use the line tool and select two points to graph the line.
Answers
Answer:
Pick any x coordinate to substitute for x, whatever answer you get is your Y coordinate
Step-by-step explanation:
Example
x=3
(3/2)*(3) + 2 = 6.5
So my coordinates end up being (3,6.5)
3(2x + 2) - (x − 4) < 18
Answers
To plot the graph of equation 3(2x + 2) - (x − 4) < 18, we need to simplify the equation of inequality first which can be simplified as
3(2x + 2) - (x − 4) < 18
6x + 6 -x+ 4 < 18
5x + 10 < 18
5x <18 - 10
5x < 8
x < 8/5
x < 1.6
So, we need to plot the line graph of the equation of inequality x < 1.6 which is attached to the solution where Blue is marked or plotted in the graph, and also note that at 1.6 there is a hollow circular mark which resents the inequality
Correct question is plot the graph of equation 3(2x + 2) - (x − 4) < 18
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