Answers
Since triangle STU is a reduction of the triangle PQR, their corresponding sides are related by the equation:
\(S_{\text{PQR}}=kS_{\text{STU}}\)Where K is a constant, and that constant is the same whichever pair of corresponding sides we choose.
Let's take the PQR side, its length is given by:
\(\begin{gathered} P=(-8,4),R=(-4,-2) \\ \Rightarrow d_{PR}=\sqrt[]{(-8+4)^2+(4+2)^2}=\sqrt[]{16+36}=\sqrt[]{52} \end{gathered}\)On the other hand, the length of the SU side is:
\(\begin{gathered} S=(-2,1),U\approx(-1,-1) \\ \Rightarrow d_{SU}\approx\sqrt[]{(-2+1)^2+(1+1)^2}=\sqrt[]{1+4}=\sqrt[]{5} \end{gathered}\)Then, we need to find the value of c in the equation
\(\begin{gathered} d_{PR}=c\cdot d_{SU} \\ \Rightarrow c=\frac{d_{PR}}{d_{SU}}\approx\sqrt[]{\frac{52}{5}}=\sqrt[]{10.4}=3.22490\ldots \\ \Rightarrow c\approx3.225 \end{gathered}\)Then, as STU is the reduction of PQR, the answer is 1/c, which is:
\(\begin{gathered} \frac{1}{c}\approx\frac{1}{\sqrt[]{10.4}}=0.310087 \\ \Rightarrow\frac{1}{c}\approx0.31 \end{gathered}\)The reduction factor is approximately 0.31. For a better result, we need to know with more certainty the coordinates of U
Related Questions
No solution is the answer when both lines have the same slope with a different y-
intercept.
o True
o False
Answers
An objective function and a system of linear inequalities
representing constraints are given. Complete parts (a)
through (c).
Objective Function z = 2x + 3y
Constraints
x≤6
y ≥ 3
2x -y 2 - 3
Answers
An objective function and a system of linear inequalities is z is 2x + 3y.
What are the roles of the constraints and objectives?Goal-oriented purpose: It is described as the purpose behind making choices. The corporation in the aforementioned example wants to raise the overall profit indicated by Z. Profit is hence my objective function. Constraints: Constraints are limitations or restrictions placed on the variables used in decision-making.
The real-valued function, whose value must be minimized or maximized while taking the limitations into account. The optimization issues must be resolved using the objective function. An objective function is a linear function denoted by Z = an x + b y, where and are variables and constraints, respectively.
z = 2x + 3y
x≤6
y ≥ 3
2x -y 2 - 3
Z = 12 +9 = 21.
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If we wanted to make 100 brownies, how many cups of sugar do we need
Answers
Answer:200
Step-by-step explanation:one batch of brownies needs 2 cups of sugar
multiply that by 100 youll get 200
a 300-acre farm produced 20,000 bushels of corn last year. what is the minimum rate of production, in bushels per acre, that is needed this year, so the farm's two-year production total will be at least 49,100 bushels of corn?
Answers
The minimum production rate of bushels per acre of corn needed this year is 97 for two year's production to reach the goal of 49,100.
How to calculate the minimum production rate?To calculate the minimum production rate for this year, we must subtract the production rate of the previous year, with what is expected to be obtained this year.
49,100 - 20,000 = 29,100Then we must divide the minimum that must be obtained by the total area, by the 300 acres that we have, to know how much corresponds to each acre.
29,100 ÷ 300 = 97According to the above, each acre must produce 97 bushels of corn to reach the goal of 49,100 for both years.
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q÷ 6 = 4 plzzzz helppp I need answerss ASAP
Answers
Answer:
q=24
Step-by-step explanation:
the opposite of division is multiplication so 4x6=24. then you check this by of course imputing your answer into the equation. 24 ÷ 6 =4
REVIEW OF ESSENTIAL SKILLS AND PROBLEM SOL
Examining a savings plan for college
David wants to attend a college that will cost $21,000 for the first year. His uncle gave him a special gift of $12,000 to use toward the cost. David plans to
attend the college in 5 years. How much must David save each month to have enough for the first-year cost?
5
Answers
Based on the above, David must save $150 each month to cover the money left over for his first year of college.
How to calculate what David's savings should be for the next 5 years for his first year of university?To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:
His uncle gave him $12,000 so we must subtract this value from the total he needs.
$21,000 - $12,000 = $9,000So he must save $9,000 in 5 years.
$9,000 / 5 = $1,800$1,800 / 12 = $150According to the above, he must save $1,800 per year, so each month he should save $150.
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Brody runs a farm stand that sells strawberries and grapes. Each pound of strawberries sells for $2.50 and each pound of grapes sells for $2. Brody made $160 from selling a total of 72 pounds of strawberries and grapes. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of grapes sold, yy.
Answers
The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given that the selling price of strawberries each pound = $2.50,
The selling price of grapes each pound = $2
The total earning = $160
Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,
x = y + 12 and 2.50x + 2y= 160
Solve the equation by substitution method;
x = 32 and y = 20
Therefore, the number of pounds of strawberries sold is 32
the number of pounds of grapes sold is 20.
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Write the equation of the line perpendicular to 2x+3y=7 that passes through the point (-4, 6). Write your answer in slope-intercept form.
Answers
Answer:
Ig This Would Be The Answer
Step-by-step explanation:
Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .
3y = 7 - 2x
y = (-2/3) + (7/3)
For the new line to be perpendicular, it needs to be the negative inverse (flip it, and change the sign). So the slope of our new line would be 3/2
Next, plug in our point into
y = (3/2)x + b
6 = (-6) + b
12 = b
So, the answer would be
y = (3/2)x + 12
If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate
Answers
The percent error of the estimate is -2.14%
How to determine the percent error of the estimate?In this question, the figures are given as
Estimate = 5.5 cm
Actual = 5.62 cm
The percentage of the error is then calculated using the following equation
Error percentage = (Estimate - Actual)/Actual * 100%
Substitute the known values in the above equation, so, we have the following representation
Error percentage = (5.5 - 5.62)/5.62 * 100%
Evaluate
Error percentage = -2.14%
Hence, the error percentage is -2.14%
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30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1 MANGO FRUIT IS EQUIVLENT TO HOW MANY CUBES OF SUGAR, KNOWING THAT EACH CUBE WEIGHTS 5 GRAMS?
Answers
Answer:
Step-by-step explanation: To determine the number of cubes of sugar equivalent to one mango fruit, we need to know the weight of a mango. Since you haven't provided that information, I cannot give you an accurate answer. However, on average, a medium-sized mango weighs around 150-200 grams. If we assume the weight of the mango is 150 grams, we can calculate the number of sugar cubes:
150 grams ÷ 5 grams/cube = 30 cubes
Therefore, if a mango weighs around 150 grams, it would be roughly equivalent to 30 cubes of sugar, assuming each cube weighs 5 grams.
Which of the following calculations described in the following statements require that you use the addition rule?
A)Calculate the probability of black offspring from the cross AaBb × AaBb,when B is the symbol for the black allele.
B)Calculate the probability of children with both cystic fibrosis and polydactyly when parents are each heterozygous for both genes.
C)Calculate the probability of each of four children having cystic fibrosis if the parents are both heterozygous.
D)Calculate the probability of a child having only sickle-cell anemia or cystic fibrosis if each parent is each heterozygous for both traits.
Answers
If probability each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.
P(Sickle-cell Anemia)
= 0.25
P(Cystic Fibrosis)
= 0.25
P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.25 + 0.25
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.5
The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.
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How do you know what row of Pascal's Triangle to use to expand a binomial?
Answers
Answer:
I think you use the row that has the same number of terms as the exponent.
Step-by-step explanation:
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answers
Answer:
Around x = 3 y = 6
Step-by-step explanation:
I'm not sure if you need to round to the nearest whole or hundreth or tenth
Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
Answers
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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!!i’ll give brainlist!!
Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answers
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?
Answers
Answer:
circumference (c) = 2.per(Square
Step-by-step explanation:
ar sq = l²
484 = l²
l = 22
again
p=4l=4×22=88cm
c = 2×p=2×88= 176cm
we know
c= 2πr
or, 176 = 2×22/7 × r
r = 28 cm
again
ar (circle) = πr²
= 22 / 7 × 28²=2464cm²
60th term for 6,12,18
Answers
Hi, there. Here's your answer:
I hope this helped.
A member of the sales team earns $10,000 a year as a base salary and 6% commission on sales. A team member made sales totaling $520,000 last year. What was the team member's total pay for the year, including base salary and commission from the sales? screenshot the picture and answer it on the picture and then use it as answer or don't and just answer
Answers
Answer:
41200
Step-by-step explanation:
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
Answers
So they are just asking for what positive or negative numbers make the equations true.
So remember how positive and a negative numbers relate and you will be fine.
B. x-(+7)=x+(-7)
C. X-(-25)=x+25
A. X-(-3)=x+3
Help please! This is timed! I’ll give brainliest also!
Answers
Answer:
Function 1: Not linear
Function 2: Linear
Function 3: Not linear
Function 4: Linear
Step-by-step explanation:
I used desmos then I input the given coordinates.
Function 2 linear
Function 3 not linear
Function 4 linear
The volume of a cube is 512 cm3 . What is the area, in square centimetres, of each side of the cube?
Answers
Answer:
64 cm^2
Step-by-step explanation:
The formula for volume of a cube is v = (side length)^3 or \(s^{3}\) where s= side length.
To get the length of one side, you need to take the cube root of 512cm^3, which gives you side length = 8
The formula for area of a square is A=s^2 where s= side length.
Plug s=8 into the equation, so A = 8^2 = 64
The area of each side is 64 cm^2
Determine whether the underlined number is a statistic or a parameter A sample of seniors is selected and it is found that 25% own a computer Choose the correct statement below
A. Parameter because the value is a numerical measurement describing a characteristic of a sample
B. Statistic because the value is a numerical measurement describing a characteristic of a population
C. Statistic because the value is a numerical measurement describing a characteristic of a sample
D. Parameter because the value is a numerical measurement describing a characteristic of a population urses
Answers
Answer:
C. Statistic because the value is a numerical measurement describing a characteristic of a sample
The average salary of all assembly-line employees at a certain car manufacturer is $42,000 is it a sample or population
Answers
Answer:
Population parameters
Step-by-step explanation:
Population parameters usually find from the average values, in a simple way we can say that finding the average value comes in the Population Parameters.
In the given question, car manufacturing companies provide sample of average.
So, given scenario is a type of "Population parameters".
Question 6 (5 points)
Which of the following statements is true for 6.24?
O A) It's irrational because 6.24 =
68/33
OB) It's irrational because 6.24 =
= 60/25.
OC) It's rational because 6.24 = 68/33.
OD) It's rational because 6.24 =
66/25.
Answers
Answer:
C
Step-by-step explanation:
it's rational because 6.24 can be 68/33
sorry if I'm wrong!!
what is the difference in the mongolians living in urban areas and rural areas?
Answers
Answer:
hh
Step-by-step explanation:
I need to figure out what the slope is.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (-2 -(-6))/(3 -1) = 4/2 = 2
The slope of the line is 2.
Please help me answer this question please...
Answers
answer is here about stem and leaf
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
A cylindrical tank with a cross-sectional area of 441 cm squared is filled to a depth of 441 cm with water. At tequals0, a drain in the bottom of the tank with an area of 21 cm squared is opened, allowing water to flow out of the tank. The depth of water in the tank at time tgreater than or equals0 is d(t)equals(21 minus 1.1 t )squared.
At what time is the tank empty?
Answers
2tan(x/2)- csc x=0 interval [0,2pi)
Answers
Answer:
\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)
Step-by-step explanation:
Given trigonometric equation:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:
\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)
Therefore:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)
\(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)
\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)
\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)
Simplify the numerator:
\(\dfrac{1-2\cos x}{\sin x}=0\)
Multiply both sides of the equation by sin x:
\(1-2 \cos x=0\)
Add 2 cos x to both sides of the equation:
\(1=2\cos x\)
Divide both sides of the equation by 2:
\(\cos x=\dfrac{1}{2}\)
Now solve for x.
From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:
\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)
Therefore, the values of x in the given interval [0, 2π), are:
\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)
