The value of the fourth vertex of rectangle is,
⇒ (9, 9)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Three coordinates of rectangle are,
⇒ (5, 6), (9, 6), and (5, 3)
Now, Let value of the fourth vertex of rectangle is,
⇒ (x, y)
Hence, We get;
Midpoint of (5, 6) and (9, 6) is,
(5 + 9)/2, (6 + 6) /2
(7, 6)
Thus, Midpoint of (x, y) and (5, 3) is, (7, 6)
⇒ (x + 5) / 2, (y + 3) / 2 = (7, 6)
⇒ (x + 5) / 2 = 7
⇒ x + 5 = 14
⇒ x = 9
⇒ ( y + 3 ) / 2 = 6
⇒ y + 3 = 12
⇒ y = 9
Thus, The value of the fourth vertex of rectangle is,
⇒ (9, 9)
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HELP IM IN K12 AND THERS MORE OF THESE
4 The list below shows odd jobs that Michael has completed and the amount of
money he earned for each job.
B $240.60
с $228.45
D $143.50
.
Which statan
How much more money does Michael need to earn in order to make at least
$300.00 if he spent $16.75 at the movies and $55.20 on a new game?
A $71.55
Yard work $25.00
Babysitting $33.50
.
• Grade money $20.00
House cleaning $65.00
The amount of money that Michael needs to earn in order to make at least $ 300 is с. $228.45.
How to find the amount needed ?The total amount that Michael has made from his odd jobs is :
= 25 for yard work + babysitting 33. 50 + 20 grade money + house cleaning 65
= $ 143. 50
The amount remaining after spending on the game and movies :
= 143. 50 - 16. 75 - 55. 20
= $ 71. 55
The amount that he needs to earn to get to $ 300 is:
= 300 - 71. 55
= $ 228.45
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Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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3x -5y + 2z = -53
x - 7y - 4z = -37
5x+9y+2x = 57
Answer:
answer is 57
Step-by-step explanation:
3x-5y sshsbwisiehdducux sh
The table represents the relationship between the number of miles Maggie runs and the number of calories she burns. What is the independent variable in this situation?
The independent variable in this situation is the number of miles
What is the independent variable?The independent variable is the variable that affects or changes by the dependent variable in a function.
In this case, the independent variable is the number of miles Maggie runs, which is the input that determines the calories burnt.
So, the independent variable in this situation is the number of miles Maggie runs
It gives output on the amount of calories , which is the dependent variable.
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lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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Pls help:(( 25 points
Answer:
Algebric answer in explanation
Step-by-step explanation:
For the angle on the left:
2x+34=90
2x=56
x=28
Then, solve x while x=28:
2(28)= 56
For the angle on the right:
4x+3x=180
7x=180
x= 25.7
4(25.7)= 103
3(25.7)= 77
What is the Area of this quadrilateral
C is the answer i just did this answer and get it correct
PLEASE HELP
Angle RST is its own complement. What is the
measure of the angle that is supplementary to angle RST?
the measure of the angle that is supplementary to angle RST is 90 degrees
How to determine the angleTo determine the value of the angle, we need to know the following;
Complementary angles are defined as a pair of angles whose sum is equal to 90 degreesThese angles are mostly right -anglesSupplementary angles are defined as a pair of angles whose sum is equal to 180 degreesthese angles are mostly on a straight lineFrom the information given, we have that;
Angle RST is its own complement
Then, angle RST =90 degrees
The supplementary angle should be y
Then,
RST + y= 180
substitute the values
y = 180 - 90
subtract the values
y= 90 degrees
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Question 10 (1 point)
A
33
7 in.
B
C
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
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The mailing tube shown below is 36 inches long, 6 inches wide, and 5.2 inches deep.
The bases are equilateral triangles. How much cardboard is used to make the tube?
The amount of cardboard = Surface area of a triangular prism = 679.2 in.²
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism = (perimeter of base × length of the prism) + (2 × Base Area)
= (S1 +S2 + S3)L + bh
The mailing tube is a triangular prism with an equilateral triangular base, and has the following given values:
s1 = 6 in.s2 = 6 in.s3 = 6 in.L = 36 in.b = 6 in.h = 5.2 in.Plug the values into the surface area formula to find the amount of cardboard that would be used to make the tube:
Amount of cardboard = Surface area of a triangular prism = (6 + 6 + 6)36 + (6)(5.2) = 679.2 in.²
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work out the surface area of this sphere give your answer to 1 decimal place it is 2.6cm
if you can help again I will be soo appreciated thank you
Answer:
SA : 84.9cm³
Step-by-step explanation:
Formula : 4×pi×r² as well as 4pi r²
4 x pi x 2.6²=84.94866535
1dp : 84.9
Rachel types a 162 words in 18 minutes. Rachel types at a constant rate. How many words does Rachel type per minute
Hi!
Your answer Would be: about 20 words per minute.
Reason Being: 162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number. Also, 20.25 x 15 = 162.Therefore, the answer is 20.
Hope this helps!
Let me know if you need any more help, Id be delighted to!
Yours Truly,
~~~PicklePoppers~~~
What is the value of b?
The value of b as described in the task content by means of solving the two equations simultaneously is; b= -10.
What is the value of b from the given equations?The given simultaneous equations as indicated have been manipulated to determine the value of a which is; 0.5 in the task content.
Hence, by substituting a= 0.5 into the equation; 5 = 30a + b; we have;
5 = 30(0.5) + b
b = 5- 15 = -10.
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Question 16 of 50
The point (1, -4) is a solution of the system:
x + 2y = -7
-4y = -x
True
False
Answer:
False
Step-by-step explanation:
1 + 2 (-4) = -7
1 - 8 = -7
-7 = -7
-4 (-4) = -1
16 = -1
Use the figure to find the measures of the numbered angles.
Answer:
Every numbered angle is 90 degrees
Step-by-step explanation:
Using the right angle we are given, linear pairs and a vertical angle give us that angles 1, 2, and 3 are also right angles.
Then using corresponding angles we can find that one of the 4-7 angles. From there we can use linear pairs the same as the first step.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.
\((2x-3y)^5\)
The expression is : \((2x-3y)^5 = 32x^5-240x^4y+720x^3y^2-1080x^2y^3+810xy^4-243y^5\).
To expand the expression \((2x-3y)^5\), we can use the binomial theorem or Pascal's triangle. However, using the binomial theorem can be time-consuming for large exponents. Instead, we can use Pascal's triangle to determine the coefficients of each term.
First, write out the coefficients of \((2x)^5\) and \((-3y)^5\) separately. Using Pascal's triangle, we get 1, 5, 10, 10, 5, and 1 for \((2x)^5\) and 1, -3, 3, -1, 0, and 0 for \((-3y)^5\).
Next, multiply each coefficient by its corresponding term and combine like terms. The resulting expanded form is \(32x^5-240x^4y+720x^3y^2-1080x^2y^3+810xy^4-243y^5\).
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How did u get 4/3. Because I’m confused
PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Simplify the following expression.
3^11/5 / 3^-9/5
Answer:
81
Step-by-step explanation:
\(\frac{3^{11/5}}{3^{-9/5}}\) can be written as \(3^{11/5}\) × \(3^{9/5}\)
= \(3^{20/5}\)
=\(3^4\)
= 81
B
What is the intersection of the two planes?
The intersection of the two planes is a Line.
According to the statement
We have to find that the Intersection of the planes.
So, For this purpose, we know that the
An intersection is a single point where two lines meet or cross each other.
From the given information:
A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors.
And then the intersection of the plane becomes:
Then
The intersection of two planes is a line. If the planes do not intersect, they are parallel.
They cannot intersect at only one point because planes are infinite.it means parallel planes have no intersection point.
So, The intersection of the two planes is a Line.
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A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
can anyone solve this for me?d/dx x/root (1+x^2)
ps. the 1+x^2 part is inside the root
using quotient formula
I NEED HELPPPP PLIS
Why do you think it would be important to keep track of the weather conditions in a particular location?
Answer:
I think We should keep track of the weather because just in case we dont get sucked up in a tornado or tsunami or we get snowed in
Step-by-step explanation:
Covert, how many lb. If = 3,200 oz
Answer:
200 lbs.
Step-by-step explanation:
Divide mass value by 16 to convert oz to lbs.
3,200/16=200
PLease help asap BRAINLIEST ANSWER
Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`
Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.
Answer: (6,-6)
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula:
Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
M = ((x1+x2)/2, (y1+y2)/2)
Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:
4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6
-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6
Therefore, point B has coordinates (6, -6).
As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.
Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon
Answer:
45+3.x
Step-by-step explanation:
Each person gets a haircut --> 3.15= 45