Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 3
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
360° counterclockwise rotation
Answers
The direction and angle of rotation include the following: B. 90° counterclockwise rotation.
What is a transformation?In Mathematics and Geometry, a transformation is the movement of a point from its initial position to a new location. This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed;
What is a rotation?In Mathematics, a rotation refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
By critically observing the geometric figures, we can reasonably infer and logically deduce that the pre-image was rotated counterclockwise to produce the image.
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Related Questions
It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP
Answers
Answer:
$10.50
Step-by-step explanation:
50-[5.50+8(3)+10] =
50-39.50=
10.50
Answer:
$6.00
first multiply eight and three then add the two things joe bougth. then the answer minus 50
NEED ALL ANSWERS PLEASE NUMBER THEM PLEASE:)))
Answers
Answer:
6. B
7. C
8. C
Step-by-step explanation:
6.
3x
------- = 1.5 (x + 1)
x + 1 (x + 1)
3x = 1.5 (x + 1)
3x = 1.5x + 1.5
-1.5x -1.5x
1.5x = 1.5
x = 1
7.
2x + 3y = 15
(x + y = 3)-2
2x + 3y = 15
-2x - 2y = -6
----------------------
y = 9
x + y = 3
x + 9 = 3
-9 -9
----------------
x = -6
(x, y) = (-6, 9)
8.
(-4x + y = 4) -2
-8x + 2y = -2
8x - 2y = -8
-8x + 2y = -2
--------------------
-10
No Solution
I hope this helps!
A motor oil retailer needs to fill 40 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles?
Answers
Answer:12 gallons
Step-by-step explanation: It is enough to fill 40
The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A motor oil retailer needs to fill 40 one-quart bottles.
We know that in 1 gallon, there are 4 quarts. Then the number of gallons in 40 quarts will be given as,
⇒ 40 / 4
⇒ 10 gallons
The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.
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Which expression below has the LEAST value?
3.78 x 10
5.99 x 102
7.35 x 10-12
9.46 x 10-10
Answers
Answer: A
Step-by-step explanation:
Your answer is A.
Value of 3.78 x 10=37.8
Value of 5.99 x 102=699.98
value of 7.35 x 10-12=61.5
Value of 9.46 x 10-10=84.6.
Least value to greatest value
3.78 x 10=37.8 Least value
7.35 x 10 - 12=61.5 Sencond least value
9.46 x 10 - 10=84.6 Sencond greatest value
5.99 x 102=699.98 Greatest value
Hope it helps have a great day:)
If several points are graphed on a number line, is the point that is the farthest from 0 always the greatest?
Answers
Answer:
If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.
mark me at brainlist
Answer:
No
Step-by-step explanation:
4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13
Answers
Answer:
I speak English.
Step-by-step explanation:
I am from America.
(01.02 LC) Ben scored in the 85th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam? {35,42,56,68,69,72,72,77,78,78,82,85,87,88,90,93,94,96,96,99}
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data on the result of math exam in Ben's class
{35,42,56,68,69,72,72,77,78,78,82,85,87,88,90,93,94,96,96,99}
The 85th percentile score represents the score in which 85 percent of the students in Ben's class or below obtained in the test.
The 85th percentile score :
85%(n+ 1) term
n = number of observations = 20
0.85(20 + 1)th term
0.85(21) = 17.85 term
Take the average of the 17th and 18th terms
(94 + 96) / 2
= 190 / 2
= 95
Answer:
Ben scored as well as or better than 85% of his classmates, with a score of 96.
Step-by-step explanation:
Finding the derivative of a function at a point x gives
A.) The slope of the secant line of the function at x
B.) A line parallel to the function
C.) The slope of the tangent line of the function at x
D.)None of the above
Answers
Answer:
C.)
Step-by-step explanation:
that is exactly the definition of the derivative.
the derivative is the limit of
(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h
with h going to 0.
this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.
The list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number
cube. What is the probability that Max tosses heads and rolls a number greater than 2?
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Answers
Answer:
I think for the coin 1/2 chance which is 50% and then for the dice: rolling a number greater then 2 is 2/6 which is 2/3. As a percent, it is 66.67%
I may be wrong I have not done percent in some time.
2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
Answers
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
Answers
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
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Solve for u.
–
7u–u+2u+11u=10
u=
Answers
Bc explain
Write the slope intercept for 2x - 5y = -5
Answers
Answer:
the slope is \(\frac{2}{5}\) and the y-intercept is \(1\)
Step-by-step explanation:
if we can get it to \(y=mx+b\) form, then it's easy since the slope is \(m\) and the y-intercept is \(b\)
solve \(2x-5y=-5\) for \(y\)
\(2x-5y=-5\)
minus 2x from both sides
\(-5y=-2x-5\)
divide by -5 both sides
\(5y=\frac{2}{5}x+1\)
match
\(m=\frac{2}{5}\) and \(b=1\)
the slope is \(\frac{2}{5}\) and the y-intercept is \(1\)
Pleas give me the right answer. Thanks. No trolling please. Give me a whole number or a decimal. Expert answer only.
Answers
Answer:
x = 3.25 or 3 \(\frac{1}{4}\)
Step-by-step explanation:
The total length of the top side is equal to the total length of the bottom line. This means that:
x + 6.42 + 7.08 = 16.75
To find x, rearrange to make it the subject by subtracting the two on the side of x from the opposite side:
x = 16.75 - 6.42 - 7.08
x = 3.25
x = 3 \(\frac{1}{4}\)
Hope this helps!
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
Answers
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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Sorry forgot to post pictures of the question on last post (here there are)
For question 4 and 5 You have to find what the equation would look like on a graph. brainly wouldn't let me post all the answer options for those questions sorry!
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
\(x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4\)
Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.
Problem 2
\(x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1\)
Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).
Problem 3
Not sure which equation needs to be used for this problem
Problem 4
\(x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1\)
This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.
Problem 5
Eliminate the parameter:
\(x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})\)
Attached below is the graph of the curve, which corresponds with the first option.
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
Answers
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest tenth of a meter per second.)
Answers
Answer:
20 m/s
Step-by-step explanation:
560 m/25 s
=22.4 m/s
≈ 20 m/s ( nearest tenth of m/s )
Answer:
22.4
Step-by-step explanation:
Just divide 560 by 25 .
A student bikes 5000 m East to school in 30.0 min (1800 seconds), realizes he forgot his calculator for physics, spends 30.0 min (1800 seconds) going back going home, and then races back to school in 27.0 minutes (1620 seconds).
What is the student’s total distance traveled?
_______ meters
The number of seconds it took the student to travel back and forth is ________
seconds.
Determine the student’s average speed. ________
m/s
Answers
The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.
What is the speed?We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.
The total distance that the student travelled can be obtained from;
5000 m + 5000 m + 5000 m
= 15000 m
The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds
= 5220 second
Speed = Distance/ Time
= 15000 m/5220 second
= 2.87 m/s
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54 divided by u = 9.
Answers
Answer:
6 = u
Step-by-step explanation:
54 / u = 9
We have to isolate "u" all by itself;
54 = 9*u
54 / 9 = u
6 = u
Hope this helps!
Answer:
6
Step-by-step explanation:
We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,
Equation :-
→ 54/u = 9
→ 1/u = 9 × 1/54
→ 1/u = 1/6
→ u = 6
Hence the required answer is 6.What three consecutive integers have a sum of 12?; What is the sum of 3 consecutive integers?; What is the formula for 3 consecutive integers?; What are the consecutive numbers of 12?
Answers
The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.
Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -
x + x + 1 + x + 2 = 12
Performing addition on Left Hand Side of the equation
3x + 3 = 12
Rewriting the equation
3x = 12 - 3
Performing subtraction on Right Hand Side of the equation
3x = 9
x = 9/3
Performing division on Right Hand Side of the equation
x = 3
So, next number = x+1
Second number = 3+1
Second number = 4
Third number = x+2
Third number = 3+2
Third number = 5
Hence, the three consecutive numbers are 3, 4 and 5.
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the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
Answers
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an 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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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There are $400$ pages in Sheila's favorite book. The average number of words per page in the book is $300$. If she types at an average rate of $40$ words per minute, how many hours will it take to type the $400$ pages of the book?
Answers
Answer:
50hours
Step-by-step explanation:
Given that there are 400 pages in Sheila's favorite book.
The average number of words per page in the book is 300
She types an average rate of 40words per minute.
So to type 400pages of the book
Total number of words in the pages = 400×300 = 120000 words
Typing rate : 40words ------- 1minute
120000 words ----------- x minutes
Hence we have 40 × X mins = 120000 × 1min
Make X the subject
40X = 120000minutes
X = 120000/40
X = 3000minutes
Since 60minutes = 1hour
3000minutes = 3000minutes/60
= 50hours
Hence it took her 50hours to type 400pages
Solution:
The total number of words in the book is 400 x 300. Sheila types at a rate of 40 words per minute, or 40 x 60 words per hour. The number of hours it takes her is equal to the number of words divided by her rate of typing, or 400x300/40x60 = 50 hours.
A farmer owns a total of 8 4/5 acres of land. The land is separated into 4 equally sized sections
Answers
Answer:
2 1/5 acres
Step-by-step explanation:
I'm guessing you want to find the area of an equally sized section. If so, you can divide the total of 8 4/5 by 4.
Convert to an improper fraction. 8*5 = 40+4= 44/5
Dividing is the same as multiplying by the reciprocal.
44/5 * 1/4 = 44/20
or 2 4/20 -> 2 1/5 acres
3.6(5x4)divided 3+5.0=
Answers
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression.... "
-Sicista
what is the answer??
Answers
Answer:
276 square inches
Step-by-step explanation:
The area can be decomposed as a square of side length 14 in, having a surface of area of \(14^2 = 196 in^2\), and a triangle of base 14 and height 12, giving an area of \(\frac12\times 12\times14 =84 in^2\). Added them together we get a grand total of \(196+84=280 in^2\)
Answer:
280 in²
Step-by-step explanation:
This is a composite figure composed of a triangle and a square. Let's find the area of each and add them up.
The area of the square is 196 square inches. The area of the triangle is 84 square inches. Add those two together, and you have 280 square inches.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,-3) and (4,6)
Answers
Answer:
9.8
Step-by-step explanation:
x1 = 8 x2 = 4 y1 = -3 y2 = 6
\(\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}\)
\(\sqrt{(4 - 8)^{2}+(6 - -3)^{2}\)
= 9.8488
= 9.8
Last year 5200 people entered a contest to win free swimming lessons at the rec center. This year there was a 14% increase in the number of entrees. How many entries were there this year?
Answers
Answer:
There were 5928 entries
Step-by-step explanation:
You multiply 14% by 5200, which is 0.14 in decimal form, and you get 728. Then you add 5200 and 728 together, since 14% of 5200 is 728
Which of the following is the beststatement about the graph? A-400-minute plan costs $40.B- 100-minute plan costs $10. C- 1000-minute plan costs $110. D- 200-minute plan costs $35.
Answers
We have a graph in which we have a graph for a line. The line has a slope.
The slope is (from the graph):
We have the following points:
(0, 10), (100, 20), (200, 30), (300, 40)
\(\frac{20-10}{100-0}=\frac{10}{100}=\frac{1}{10}\)We have that, for every 100 minutes, the cost of the plan is $10.
That is why for 0 minutes, we have $10 (initial cost). Then, 100 minutes costs $20, 200 minutes $30, and so forth.
Thus, the best statement about the graph is option B: 100-minute plan costs $10.
It also follows the next line equation:
\(y=0.1\cdot x+10\Rightarrow y(100)=0.1\cdot100+10\Rightarrow y=10+10=20\)As you can see, for 100 minutes, we have to pay $20.
4. An equilateral triangle has a perimeter of 24 feet. A circle is constructed with a diameter equal to one side of the triangle. What is the area of this circle in square feet? Hint: Equilateral triangles have 3 equal sides!
Answers
If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.
How to find the area?Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).
The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.
The area of a circle is given by the formula:
A = πr^2
where A is the area and r is the radius.
Plugging in the value of the radius, we get:
A = π(4 feet)^2
A = 16π square feet
A ≈ 50.27 square feet (rounded to two decimal places)
Therefore, the area of the circle is approximately 50.27 square feet.
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