Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answers
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Related Questions
PLEASE HELP WILL GIVE BRAINLIESTT
Answers
Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{20}{29} 29 20 start fraction, 20, divided by, 29, end fraction (Choice B) B \dfrac{20}{21} 21 20 start fraction, 20, divided by, 21, end fraction (Choice C) C \dfrac{21}{29} 29 21 start fraction, 21, divided by, 29, end fraction (Choice D) D \dfrac{21}{20} 20 21
Answers
Answer:
Check Explanation
Step-by-step explanation:
The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.
It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.
These three dimensions perfectly form a Pythagorean triple.
So, the value of cos α now depends on the setup of the triangle.
From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as
Cos α = (Adj/Hyp)
For this Pythagorean triple,
Hyp = hypotenuse side = 29
Adj = Adjacent side = 20 or 21, depending on the triangle's setup.
If the adjacent is 20,
Cos α = (20/29), option A is correct.
If the adjacent is 21,
Cos α = (21/29), option C is correct.
Hope this Helps!!!
I need help Whats the Domain and range
Answers
Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Answers
What does 2+2 equal
Answers
a^2+b^2=c^2
15^2-4^2
=225-16
=209
Answer: 14.4
Step-by-step explanation: To find the third side of the triangle, we have to use the pythagorean theorem...
a² + b² = c²
a² + 4² = 15²
a² + 16 = 225
225 - 16 = 209
[tex]\sqrt{209}[/tex]
a ≈ 14.4 (If rounded it would be 14)
I hope this helps!
yo was the answerrrrrr n how u do it???????
Answers
Answer:
A pizza with 8 slices has price: 12$, then each slice cost:
12/8 = 1.5$
Hope this helps!
:)
Answer:
$1.50
Step-by-step explanation:
Total cost of pizza: $12
The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.
12/8 = 1.50
one slice of pizza costs $1.50
Which is an example of an abiotic factor that might limit the number in an African grassland giraffe population?
Answers
Answer:
rocks. rocks everywhere means no where for trees so no foods.
Step-by-step explanation:
what is 4 3/4 - 1/3 . I need this answer so I can pass .
Answers
Answer:
Step-by-step explanation:
Turn the fractions to the same denominator then subtract to get: 4 5/12
A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?
Answers
Answer:
The final cost of bike = $535.00Step-by-step explanation:
Cost of bikes = $500.00
If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;
7% of $500.00
= [tex]\frac{7}{100} * 500\\[/tex]
= $35
The final cost of bike = initial selling price + amount paid as tax
The final cost of bike = $500.00 + $35.00
The final cost of bike = $535.00
help please! ill mark brainliest
Answers
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200
Answers
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answers
Answer:
A≈8173.18
Step-by-step explanation:
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answers
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
How can you use the properties of operations to evaluate this expression?
18 + 4(28). Explain.
Answers
Answer:
130.
Step-by-step explanation:
18 + 4(28(
= 18 + 4 * 28 Multiplication is done before addition so we have:
18 + 112
= 130.
Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
ill give a brainliest :)
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Charge your computer!!
what's 4.54 rounded to the nearest tenth?
Answers
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answers
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answers
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
On the blueprint of a house, 27 millimeters represents 6 meters. The actual length of the living room is 9 meters.
Answers
Answer:
40.5 mm
Step-by-step explanation:
Use a proportion to find the blueprint's length of the living room.
27 mm is to 6 m as x is to 9 m
27/6 = x/9
6x = 27 * 9
6x = 243
x = 40.5
Answer: 40.5 mm
A camp counselor is trying to determine of the places they have previously camped where his campers favorite camping spots are what is the population of the survey
Answers
Answer:
Uhhh the previous campers?
Step-by-step explanation:
No idea if this is some sort of trick question but I'm just going to go ahead and say the campers.
Answer:
a
Step-by-step explanation:
The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?
please help me i Just need 2 more to finish please
Answers
Answer:
No
Step-by-step explanation:
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
No, the government offices can not be represented as a function of the ministers' names.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, names of offices and their presidents,
Since,
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
Hence, the government offices can not be represented as a function of the ministers' names.
Learn more about functions, click;
https://brainly.com/question/12431044
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25 x 10 to the power of 6 in standard form
Answers
Answer:
24414062 14
sj rjsjstushnaayaeyn
7. What is the value of the expression 3(2 - 7)
Answers
Answer:
-15
Step-by-step explanation:
3(2 - 7)
PEMDAS says parentheses first
Subtract
3 (-5)
Multiply
-15
dylan invested $600 in a savings account at a 2% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest follower, the balance in the account after 2 years.
Answers
Answer:
He's RICH
Step-by-step explanation:
100,566
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answers
f(x)=(0)^2+3(0)+5
f(x)=5
So your y intercept
Is y=5 or (0,5)
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
Factor completely 3x(x + 2) + 4(x + 2).
Answers
x
+
2
from the expression
(
x
+
2
)
(
3
x
+
4
)
!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRAINLIEST♡
three fifths multiplied by two tenths
Answers
Answer:
0.12 in decimal form and fraction form is 3/25
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
three fifths times two tenths = six over fifty simplified version = three over twenty-five
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answers
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
Learn more about Rectangle, Area and Quadratic equation here
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Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6
Answers
Answer:
70
Step-by-step explanation:
69.65
We look at the tenths place to determine if we round up or leave it alone
.6 is greater then or equal to five so we need to round the 9 up
69.65 rounds to 70
Answer:
C
Step-by-step explanation:
Rounding 69.65 to the whole number would be 70
triangle xyz is similar to triangle abc solve for k
Answers
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
