Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A) rotate 90° clockwise and then translate 6 units down B) translate 4 units down and rotate 180° about the origin C) reflect the triangle across the y-axis and translate 4 units down D) reflect triangle A across the x-axis and then translate 1 unit right
Answers
B) Translate 4 units down and rotate 180°
Rule for 180° = (x, y) ---- (-x, -y)
Pick one point on Triangle A. (I picked the pointiest point)
(-5, 6)
Now translate 4 units down.
You will now be on (-5, 2)
Rotate 180°
You will now have (5, -2)
And the pointiest point on Triangle B is (5, -2)
So, B is the correct answer.
Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
In order to determine the transformation that will map triangle A to B, we need to do the following:
Select any of the coordinates of the verticesUsing the coordinate point (-5, 6) on triangle AIf a coordinate (x, y) is rotated 180° about the origin, the resulting coordinate will be at (-x, -y)For the coordinate (-5, 6), rotated 180° about the origin, the resulting coordinate will be at (5, -6)If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)
We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
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Related Questions
A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green die shows an even number? Make sure your answer is reduced
Answers
Final answer:
To find the probability that the red die shows an even number or the green die shows an even number, we can use the concept of probability of a union of two events. The probability is 3/4.
Explanation:
To find the probability that the red die shows an even number or the green die shows an even number, we can use the concept of probability of a union of two events. Let's denote the event that the red die shows an even number as E and the event that the green die shows an even number as F.
Since each die has 6 equally likely outcomes, the probability of rolling an even number on the red die is P(E) = 3/6 = 1/2, and the probability of rolling an even number on the green die is P(F) = 3/6 = 1/2.
To find the probability of the union of two events (E or F), we add the probabilities of E and F and subtract the probability of their intersection (E and F) to avoid double-counting. In this case, the intersection is the event that both dice roll an even number, which has a probability of P(E and F) = (1/2) × (1/2) = 1/4.
Therefore, the probability that the red die shows an even number or the green die shows an even number is P(E or F) = P(E) + P(F) - P(E and F) = 1/2 + 1/2 - 1/4 = 3/4.
How could you correctly rewrite the equation 4(10+5)=6(12-2) using the distributive property?
Answers
Answer:
[tex]40 +20 = 72 -12\\\\60 = 60[/tex]
Step-by-step explanation:
If we have an expression in the following way:
[tex]c(a + b)[/tex]
So the distributive property says that:
[tex]c(a + b) = ca + cb[/tex]
In this case we have the expression:
[tex]4(10 + 5) = 6(12-2)[/tex]
Therefore we can rewrite it as:
[tex]4 * 10 + 4 * 5 = 6 * 12 -2 * 6[/tex]
Then we have left:
[tex]40 +20 = 72 -12\\\\60 = 60[/tex]
4*10+4*5=6*12-6*2
40+20=72-12
60=60
Answer: 60=60
Area of a triangle with a base 6 feet and height 9 feet
Answers
Solution: 6 x 9 / 2 = 27
If its a triangle its divided by 2 found the sum of base x height.
The area of the triangle is 27 sq.ft
What is Area ?The area can be defined as the space occupied by surface of an object.
The area of a figure is the number of square unit that cover the surface of a closed figure.
The area of a triangle is given by
= (1/2) * base * height
The base of the triangle = 6 feet
The height of the triangle = 9 feet
Therefore the area of the triangle = (1/2) * 6 *9
= 27 sq.ft
Therefore the area of the triangle is 27 sq.ft.
To know more about Area
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i need this done asap pls
my dad said if i get my grades up he will raise my allowance and i rlly want airpods
Answers
Answer:
Step-by-step explanation:
t(1) = 4
t(n) = -4 * t(n - 1)
common ratio: -4
t(1) = -4 * t(0)
4 = -4 * t(0)
t(0) = -1
t(n) = -4n * -1
t(1) = -4 (1) * -1
= 4
t(n) = -4n * -1
t(6) = -4*6 * -1
t(6) = 24
Which of the following data represents an actual probability?
A computer randomly generates 6 out of 100 numbers.
An observer notes the number of pepperoni, cheese, vegetarian pizzas are ordered out of 100 orders.
A card shuffling machine picks cards from a standard deck.
None of the above
Answers
A card shuffling machine picks cards from a standard deck.
Revenge of the mangled angles
Answers
Answer:
show me the other picture and closer up
Step-by-step explanation:
Show steps: Find the volume of a rectangular prism with a length of x + 9, a width of x – 7, and a height of x – 1. What is its volume expressed as a polynomial?
Answers
Answer:
Please see attached picture
Step-by-step explanation:
A rectangular prism has its volume defined as
V_rect_prism = length * height * width
V_rect_prism = (x+9) * (x-1) * (x-7)
The volume expressed as a polynomial can be seen in the picture below.
How many possibly outcomes of flipping a coin four times?
Answers
8 times because you take 4 times 2 and get 8
Reasoning:
There are 2 outcomes if you flip only one coin (H or T).
There are 2^2 = 2*2 = 4 outcomes if you flip two coins (HH, HT, TH, TT).
There are 2^3 = 2*2*2 = 8 outcomes if you flip three coins.
There are 2^4 = 2*2*2*2 = 16 outcomes if you flip four coins.
The population of a city in 2005 was 18,000. By 2010 the city's population had grown to 45,000. Economists have determined that the population growth follows an exponential model. If they are correct, what is the projected population for 2015?
Answers
Step-by-step explanation:
First we have to find percent change by doing change/original
To find change: 45000-18000=27000
Now divide by original. 27000/18000=1.5
The change was 150 percent. Now we multiply 45000 by 150 percent to get the projected population for 2015.
45000*1.5=67500 people
Brainliest? :)
Projected population for 2015 using exponential growth model is 112,500, calculated with initial population of 18,000 and growth rate.
To determine the projected population for 2015 using an exponential growth model, we need to identify the growth rate and use it to extrapolate the population.
The exponential growth model can be represented as:
[tex]\[ P(t) = P_0 \times e^{rt} \][/tex]
Where:
- [tex]\( P(t) \)[/tex] is the population at time [tex]\( t \)[/tex]
- [tex]\( P_0 \)[/tex] is the initial population (in 2005)
- [tex]\( r \)[/tex] is the growth rate
- [tex]\( t \)[/tex] is the time in years since the initial population was measured
First, we need to find the growth rate [tex](\( r \))[/tex]. We can use the data provided from 2005 to 2010:
[tex]\[ P_0 = 18000 \][/tex]
[tex]\[ P(5) = 45000 \][/tex]
Using these values in the formula:
[tex]\[ 45000 = 18000 \times e^{5r} \][/tex]
Now, let's solve for [tex]\( r \)[/tex]:
[tex]\[ \frac{45000}{18000} = e^{5r} \][/tex]
[tex]\[ 2.5 = e^{5r} \][/tex]
Taking the natural logarithm of both sides:
[tex]\[ \ln(2.5) = 5r \][/tex]
Now, divide by 5:
[tex]\[ r = \frac{\ln(2.5)}{5} \][/tex]
Now, we have the growth rate [tex]\( r \)[/tex]. We can use this rate to project the population for 2015 [tex](\( t = 10 \) years)[/tex]:
[tex]\[ P(10) = 18000 \times e^{\frac{\ln(2.5)}{5} \times 10} \][/tex]
Now, calculate this:
[tex]\[ P(10) = 18000 \times e^{\ln(2.5) \times 2} \][/tex]
[tex]\[ P(10) = 18000 \times e^{\ln(2.5^2)} \][/tex]
[tex]\[ P(10) = 18000 \times e^{\ln(6.25)} \][/tex]
[tex]\[ P(10) = 18000 \times 6.25 \][/tex]
[tex]\[ P(10) = 112500 \][/tex]
So, the projected population for 2015 is 112,500.
functions......ugh
.
Answers
the answer is (-2,-9) because x's cannot repeat
Please I need the correct answer please
Answers
(−1
2 )(n^3)+
1
2 n^2+4.6n+(−
1
2)(n^3)+
1
2 n^2+4.5n
=
−1
2 n^3+
1
2 n^2+4.6n+
−1
2 n^3+
1
2 n^2+4.5n
Combine Like Terms:
=
−1
2 n^3+
1
2 n^2+4.6n+
−1
2 n^3+
1
2 n^2+4.5n
=(−1
2 n^3+
−1
2 n^3)+(
1
2 n^2+
1
2 n^2)+(4.6n+4.5n)
=−n^3+n^2+9.1n
Answer:
=−n^3+n^2+9.1n
Everything underlined means its a fraction/divided hope this helps :D
Angie is x years old. Her sister is 12 years older than her while their mother is twice as old as her sister. Betty is 3 years younger than angie while Betty's mother is 4 times as old as Betty. Express Angie's mother's age in terms of x. express Betty's mother's age in terms of x. if Angie's mother is 6 years older than Betty's mother, find Angie's age
Answers
Step-by-step explanation:
Parking lot:
Angie=x
Sister=x+12
Amom=2•(sister) or 2(x+12)=2x+24
Betty=x-3
Bmom=4•(betty) or 4(x-3)=4x-12
--------
Part A: Amom=2x+24
Part B: Bmom=4x-12
PartC:
x=angie
Amom=Bmom+6
2x+24=4x-12+6
2x+24=4x-6
24-6=4x-2x
18=2x
9=x
Angie is 9 years old.
what is the probability of spinning b
Answers
Answer:
45%
Step-by-step explanation:
It is 45% because is 1/4 of the circle
Answer:
37.5%
Step-by-step explanation:
The probability is 3/8, which is 37.5%.
Jack mows the lawns to earn money. he charges a flat fee of $20 for showing up plus $15 for each hour it takes him to mow the lawn. Write an equation that models this situation for the money Jack makes Y in terms of the hours he works X
Answers
Answer:
y = 15x + 20
Step-by-step explanation:
He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.
The 15x represents his earnings per hour. He makes 15 per every hour worked, x represents the number of hours worked
A pair of linear equations is shown below:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
A. Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
B. Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
D. Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answers
Answer:
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Step-by-step explanation:
The two equations are in slope intercept form which is y = mx + b where m is the slope and b is the y-intercept.
In the first equation (y = -2x + 3), -2 is the slope since it is the coefficient. "b" is 3 since it is the constant of the equation.
In the second equation (y = -4x -1), -4 is the slope is the coefficient, and the y-intercept is -1 since it is the constant.
To solve the equations graphically, graph them and find the point where they intersect.
The required explanation that is best for the solution of the given equation is given by option c. Option C is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation is
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Thus, the required explanation that is best for the solution of the given equation is given by option c. Option C is correct.
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Use the model to write the equation that represents the problem.
I have one-half of a square and I want to divide it by one-eighth. How many pieces would I have?
A) 1
2
÷ 1
8
= 4
B) 1
2
÷ 1
8
= 1
4
C) 1
8
÷ 1
4
= 2
D) 1
8
÷ 1
4
= 1
2
(look at the photo)
Answers
It’s 4! Those seem wrong lol
Answer: is A 4
Step-by-step explanation:
Find the perimeter of the larger flag.
Answers
Again, scale factor is 12 / 4 = 3.
So Perimeter = 16 * 3 = 48.
The perimeter of the larger flag, which is a square with each side measuring 8 inches, is 32 inches. This is calculated by multiplying the side length by 4, as a square has four sides.
Explanation:Finding the Perimeter of a Larger SquareTo find the perimeter of the larger flag, which resembles a larger square, you need to know the length of one of its sides. Since the problem states that the dimensions are twice that of a smaller square, first, determine the side length of the smaller square. If the side length of the larger square is 8 inches, obtained by scaling up the smaller square's side length by a factor of 2 (4 inches x 2 = 8 inches), you can find the perimeter by multiplying the side length of the larger square by 4 (since a square has four sides).
The calculation for the perimeter of the larger square is as follows: 8 inches x 4 = 32 inches. Therefore, the perimeter of the larger flag is 32 inches.
One tossed coin landing heads and the next landing tails
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
*I'm assuming you're asking about the probability of this happening...
There are 4 different results you can get when flipping a coin twice...
First Flip: heads
Second Flip: tails
First Flip: heads
Second Flip: heads
First Flip: tails
Second Flip: heads
First Flip: tails
Second Flip: tails
only one of these is heads, then tails, so our probability is
1/4, or 0.25
Rewrite the equation below so that is does not have fractions
Answers
Hey there!
The first thing we should do is to make the fractions have a common denominator.
The least common multiple of 4 and 6 is 12, which we can find by taking the multiples of both and finding the smallest one they have in common.
What we should do it multiply both sides of the equation by 12, which eliminates both fractions.
We now have:
9x - 60 = 10
Hope this helps!
The results of the equation without fraction is 118x = 175
Given the equation
[tex]\frac{3}{5} x - 5 = \frac{5}{6}\\[/tex]
Step 1: Add 5 to both sides of the equation:
[tex]\frac{3}{5} x - 5 +5= \frac{5}{6} + 5\\\frac{3}{5} x= \frac{5}{6} + 5\\[/tex]
Multiply through by 30:
[tex]\frac{3}{5} x \times 30= (\frac{5}{6} \times 30 )+( 5 \times 30)\\(3x \times 6) = (5\times 5) + 150\\18x = 25 + 150\\18x = 175[/tex]
Hence the result of the equation without fraction is 118x = 175
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Which of the following represents the value of the nearest side? Round to the nearest tenth.
Answers
I think it’s b I’m currently learning the same thing in my class
Answer:
The answer is A. 2.0
Step-by-step explanation:
One of the angles is a right angle, because x is the tangent of that circle. The other radius is 1.5, since all radius are equal to each other. Then you use the Pythagorean theorem (a²+b²=c²). C is always the hypotenuse. The hypotenuse in this triangle is the 1.5 + 1 line. A and b can be changed within each other. I put A = 1.5, B = x, and C = 2.5. My equation was 1.5²+x²=2.5². Remember the formula can also be x²+1.5²=2.5² as well. Then you solve the equation you just made. You multiply everything by each other, because of the ² (I forgot the name of it, hehehe). You will get 2.25+x²=6.25. Then you subtract 2.25 to both side. x²= 4. Then you square root both sides to make x by itself. x=2. That's how you get 2 as your answer
*Will mark brainest!!* Write an equation in point slope form
(-9,7) m=4
Answers
Answer:
y-7 = 4(x+9)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y-7 = 4(x--9)
y-7 = 4(x+9)
i hate word problems...if i roll a regular 6 faced die 1200 times, about how many times would you expect to get a 4?
Answers
Answer:
200
Step-by-step explanation:
1/6 because the die has 6 sides so if you were to roll it 1200 times you would do 1/6*1200=200 , hope this helps!
Sally's soccer team won 68% of the games they played. if they won 17 games, how many did they play?
Answers
Answer:
Step-by-step explanation:
Let the number of games played be x. 68% of x comes out to 17 games.
Then 0.68x = 17. Mult. both sides by 100: 68x = 1700.
Divide 68 into 1700 to obtain x, the number of games played: x = 25
The team plays in 25 games.
What is the result when you convert 7/8 to a percent?
Answers
Answer:
the answer is 87.5%
Step-by-step explanation:
first, we have to turn 7/8 into a fraction with a denominator of 100. to do that, we can divide 100 by 8 to get 12.5. now, we multiply 7/8 x 12.5 which equals 87.5/100 which is equal to 87.5%
Answer: the answer would be 90%
Step-by-step explanation:
The ratio of the areas of two triangles is 5:2. the area of the larger triangle 60 cm² what is the area of the smaller triangle
Answers
Answer:
24 cm²
Step-by-step explanation:
Using proportion to solve
let the area of the smaller triangle be x, then
[tex]\frac{5}{2}[/tex] = [tex]\frac{60}{x}[/tex] ( cross- multiply )
5x = 120 ( divide both sides by 5 )
x = 24
Area of smaller triangle = 24 cm²
Answer:
24 cm²Step-by-step explanation:
[tex]Let\\A_1,\ A_2-areas\ of\ triangles\ (A_1>A_2)\\\\A_1=60\ cm^2\\\\A_1:A_2=5:2\\\\\text{Substitute:}\\\\\dfrac{60}{A_2}=\dfrac{5}{2}\qquad\text{cross multiply}\\\\5A_2=(60)(2)\\\\5A_2=120\qquad\text{divide both sides by 5}\\\\A_2=24\ cm^2[/tex]
18x__=504 plz help quickly
Answers
Answer:
28 times
Step-by-step explanation:
18 x 28 = 504
HELP QUICKLY
The graph shows the total number of hours Katrina worked over a 10-day period.
Answers
Answer:
Option C From day 7 to day 8
Step-by-step explanation:
The given graph shows the total number of hours Katrina worked over the period of 10 days.
Now we will calculate the number of hours worked by Katrina for every given options in the question.
Option A - From day 1 to day 2
Katrina worked (6 - 3) = 3 hours
Option B - From day 4 to day 5
Katrina worked (12-12) = 0 hours between the period of 4 to 5 days
Option C - From day 7 to day 8
Katrina worked (18-12) = 6 hours
Option D - From day 9 to day 10
Katrina worked ( 18 - 18) = 0 hours so she took the rest.
According to this, options C represents the work done for maximum hours in one day interval.
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same distance from the shoreline but 11 feet closer to the station than you. The angles of elevation from you and the other person to the top of the lifeguard station are 36 degrees and 46 degrees, respectively. Estimate the height of the lifeguard station to the nearest tenth of a foot.
Answers
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is x.
Keep on mind that:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
Therefore:
For the triangle ABD:
[tex]tan(36\°)=\frac{x}{DC+11}[/tex] [EQUATION 1]
For the triangle ACD:
[tex]tan(46\°)=\frac{x}{DC}[/tex] [EQUATION 2]
Solve from DC from [EQUATION 2]:
[tex]DC=\frac{x}{tan(46\°)}[/tex]
Substitute into [EQUATION 1] and solve for x:
[tex]tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x[/tex]
[tex]x=26.81ft[/tex]≈26.8ft
HELP PLZ (40 POINTS)
Answers
The second one is skewed right
The third 1 is skewed left
1) 2 and 3
2) skewed right
3) skewed left
estimate the measure of <1
Answers
I think the answer is most likely 80