RST with vertices R(–2, 3), S(1, 2), and T(2, –1) is rotated 270° counterclockwise about the origin.

Answers

Answer 1

Answer:

vertices are rotation by  270° about the origin

R¹( 3, 2), S¹( 2, -1) and T¹ (-1,- 2)

Step-by-step explanation:

Explanation:-

The rule for a rotation by 270° about the origin is

( x,y) → (y,-x)

Given vertices are  R(–2, 3), S(1, 2), and T(2, –1)

Given vertices are rotation by  270° about the origin

R¹( 3,-(-2)) , S¹( 2 , -1) and T¹ (-1 , -(2))

R¹( 3, 2), S¹( 2,-1) and T¹ (-1,- 2)  


Related Questions

Pls help
Show workings???

Answers

Answer: 11.375°

Step-by-step explanation:

55 + (4x + 17) + (4x + 17) = 180°    Set up equation

4x + 4x + 55 + 17 + 17 = 180°    Commutative Property of Addition

8x + 89 = 180°    Combine like terms

8x = 91°    Subtract 89 from both sides

x = 11.375°   Divide both sides by 8

Not entirely sure about this one; you might have to round the answer.

Here’s another one 4/5-(-2/3)

Answers

Answer:

1.46666666667

Step-by-step explanation:

??

Answer:

22/15 or 1  7/15

Step-by-step explanation:

If you have two negatives in a row they make a positive, so the question is 4/5 + 2/3= ?. You can either plug that into a calculator and get 1.4666... or change the denominator to 15 and get 12/15 + 10/15.

please help me do question 10 :)

Answers

Answer:

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Step-by-step explanation:

I would like to preface this by saying that my trig is probably rusty so maybe double check my work. I will try to overexplain it so you can easily spot any errors I may make

To solve for x we know that sin(x)=4/5

we can solve for x by using the arc sin

This means that x=arcsin(4/5) which gives me around x=53.13

We can then use the same process for y but with 5/13

so arcsin(5/13) gives us around y=22.62

Then it's just a matter of plugging everything in

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Amelie puts a piece of newspaper on the bottom of the cage. The newspaper fits the bottom of the cage perfectly.

What is the area of the newspaper on the bottom of the cage?

Answers

The area of the news paper which fits in the bottom of the Amile's cage is 280 square inches because The area is said to be the product of the two sides ( length an breadth ) of the rectangle.
The volume is said to be the product of the length, breadth and height of the cage.
Here the height and volume are given in the square inches.
volume = L* B *H = 7280 Square inches whereas height is 26 inches.
AREA = L* B = by bringing the height in divide with volume we can obtain the L* B value which is said to be the value of the height .

Answer:

The area of the news paper which fits in the bottom of the Amile's cage is 280 square inches because The area is said to be the product of the two sides ( length an breadth ) of the rectangle.

The volume is said to be the product of the length, breadth and height of the cage.

Here the height and volume are given in the square inches.

volume = L* B *H = 7280 Square inches whereas height is 26 inches.

AREA = L* B = by bringing the height in divide with volume we can obtain the L* B value which is said to be the value of the height .

Step-by-step explanation:

hope this help'<'

The Volume of a rectangular prism equals length times width times height. What is the volume of a rectangular prism with a length of 4 in, a width of 3/4 in., and a height of 3 1/2 in.?

Answers

Answer: the volume is 10.5

Step-by-step explanation:

V=lwh

V= 4 x 3/4 x 3.5

V = 4 x 2.625

V = 10.5

What is the y-intercept of the line shown?


A. O
B. 1
C. 3
D. 3.5

Answers

Answer:

c 3

Step-by-step explanation:

the y intercept is where the line crosses the 0 x-axis

So ask yourself, what is the y when the x is 0?

on this one, the line crosses the 0 x-axis at 3 y

when the x is 0, the y is 3

So thats the y intercept

plz help asap real quick i will put you as brainlist

Answers

Answer:

21/8*2= 5 2/8 or 5 1/4

Step-by-step explanation:

Divide fraction so keep change flip

make them improper

21/8 * 2

42/8

5 2/8

5 1/4

Answer:

21/8*2= 5 2/8 or 5 1/4

Divide fraction so keep change flip

make them improper

21/8 * 2

42/8

5 2/8

5 1/4

Step-by-step explanation:

i hope this help send some more if you want

Ab has a midpoint of (2, 5)
A has coordinates of (1, 7)
whats the coordinates of B

Answers

Answer:

pt B = (3, 3)

Step-by-step explanation:

to get from (1, 7) to (2, 5) you move down two and to the right one

so from (2, 5) go down two and to the right one and you are at (3, 3)

A man spent 58% of his income and the amount of money left was $210 .Find his income.

Answers

Answer:

Step-by-step explanation:

First, subtract 58% from 100% to get 42%. That means $210 is 42% of this man's income.

Then, convert 42% into a fraction. This would be 21/50. Find the reciprocal of that, which is 50/21.

Now, multiply 50/21 by 210 to get the answer.

(50 * 210)/21

Multiply 50 by 210 to get 10500.

10500/21

(105/21) * 100 is the same as 10500/21.

Divide 105 by 21 to get 5.

5 * 100

Multiply 5 by 100 to get 500.

The man has a $500 income.

owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for 5.5 hours and charged him $70 for parts the total is $702.50 what was the total cost of labor per hour

Answers

To figure out this problem, let's set up an equation first to make it easier:

702.50 = 5.5x + 70

x = amount charged per hour

702.50 = 5.5x + 70

-70                   -70

-----------------------------

632.5 = 5.5x

/5.5       /5.5

--------------------

115   =   x

Owen was charged $115 per hour

1. Are 5:3 and 10:6 equivalent ratios?

Answers

Answer:Yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

5/3 10/6

10 divide by 2 = 5

6 divide by 2 = 3

leads to

5:3

On a test, Marcus answered 12 out of the first 15 problems correctly. If this rate continues
how many of the next 25 problems will he answer correctly?

Answers

Answer:

20

Step-by-step explanation:

write an equation for the nth term of the arithmetic sequence -7, -2, 3, 8...

Answers

Answer:

33

Step-by-step explanation:

An arithmetic sequence has a definite pattern. If we look at the number -7 and -2, what do we have to do to get from -7 to -2? We just have to add 5. To check this, we can add 5 to -2 and it will be 3.

Now, we know what the pattern is. Now, we have to find the ninth term using this pattern.

8 is the fourth term. So, 5 + 8 is 13. 13 is the fifth term. 13 + 5, is 18. 18 is the sixth term. 18 plus 5 is 23. 23 is the seventh term. 23 plus 5 is 28. 28 is the eighth term. Finally, 28 plus 5 is 33. 33 is the ninth term.

What is 5 x 10 over 3?

Answers

Answer:

16.67

Step-by-step explanation:

Answer:

50

__                                 or 50/3 or   16.6 recurring

         

3

Step-by-step explanation:

5x10 = 50, and 50 divided by 3 = 16.6 recurring.

1. Consider the inequality 4x + 12 > 6x +24. Which value(s) of rare possible
solution(s) to the inequality?
You CAN have one or more solutions.
a.
x= -16
b.
x = - 10
C.
x= -6
d.
x = 6
e.
X = 10
f.
x = 16

Answers

Answer:

A. -16

Step-by-step explanation:

6 times -16 = -96 + 24 = -72

4 times -16 = -64 + 12 = -52

find the unknown value labelled as x on each figure. 10. the rectangle has an area of 80 sq. units.

Answers

Answer:

x=8 units

Step-by-step explanation:

since y=10, and (x)(y)=80, then x=8 units

Is this correct or no

Answers

Answer:

Incorrect

Step-by-step explanation:

The correct answer is A.

The slope-intercept form is y-y₁=m(x-x₁)

The problem with B is that if you take out the coordinates for x₁ and y₁, you get the coordinates (1,4). This coordinate does not land on the line.

The coordinates for A is (-1,4). This point does land on the line.

The manager of PS taco Casa make a deposit into the restaurant checking account at the end of the day she has two $50 bill 16 $20 bills for $10 bills one five dollar bill 24/4 12 dimes and three nickels she wants to receive $21 bills to use as exact change the next day how much is the total

Answers

Complete question :

The manager of Pia’s Taco Casa makes a deposit into the restaurant’s checking account at the end of the day. She has 2 fifty-dollar bills, 16 twenty-dollar bills, 4 ten-dollar bills, 1 five-dollar bill, 24 quarters, 12 dimes, and 3 nickels. She wants to receive 20 one-dollar bills to use as change the next day. How much is the total deposit

Answer:

$452.35

Step-by-step explanation:

1 Nickel = 25 cents = $0.25

1 dime = 10 cent = $0.10

1 quarter = 5 cent = $0.05

Notes deposited :

2 fifty-dollar bills = $50 * 2 = $100

16 twenty-dollar bills = $20 * 16 = $320

4 ten-dollar bills = $10 * 4 = $40

1 five-dollar bill = $5 * 1 = $5

24 quarters = 24 * $0.25 = $6

12 dimes = 12 * $0.1 = $1.2

3 nickels = 3 * $0.05 = $0.15

Total deposit :

$(100+320+40+5+6+1.2+0.15) =$472.35

Amount to withdraw:

20 $1 bill = $1 * 20 = $20

Net deposit :

Deposit - withdraw

$472.35 - $20

= $452.35

Find the inverse function of

m(x) = 5x - 5

Answers

Answer:

5(x−1)

Step-by-step explanation:

HELP ME PLEASE!!
Also explain how you know your answer is correct. Thank you!

Answers

Answer:

C

Step-by-step explanation:

At least means "Equal to, or more". So C

express 11/4 as a mixed number fraction​

Answers

Answer:

2 3/4

Step-by-step explanation:

For the following diagram, create an equation to solve for x

Answers

Answer:

19x - 4 = 110

Step-by-step explanation:

These angles are opposite exterior angles meaning they are equivalent to each other.

If triangle ABC were dilated using (0,0) as the center and a scale factor of 1.5, what would the coordinates of A' be? A.(5.5, -3.5) B.(2.67, -1.33) C. (6, -3) D.(2.5, -3.5)

Answers

B is the answer to the question

Find the distance between the points (-4, 3) and (5.3). ?​

Answers

Answer:9

Step-by-step explanation:

HELP PLEASE I NEED AN ANSWER FAST!!

Answers

Answer: 17

Step-by-step explanation: set 3x-9(TS)= to 42(PQ)

you should get 51=3x

divide by three and get 17 hope this helps

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

Answers

Answer:

48.6 quart of fertilizer

Step-by-step explanation:

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

120 men and 80 women were asked if they drive to work.
Altogether 1/4 of the people said yes.
1/3 of the men said yes.
What fraction of the women said yes?

Answers

Answer:

1/8 of the women said yes

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

In total there is 200 people (120+80)

1/4 of that is 50 people, keep this for later.

1/3 of 120 men is 40.

Subtract the men that said yes from the people that said yes. We get 10 women said yes.

If we put 10 over 80 (10/80) we can simplify that by reducing by 10, so 1/8 of the women said yes

Find the length of the missing side (nearest tenth).
21 in
7 in

Answers

Answer:

22.1

Step-by-step explanation:

21²+7²=490

Square root of 490

=22.1359

=22.1

Pls help asap! Will give brainliest

Answers

Answer: 5,0 6,1 7,2 9,4 11,6

Step-by-step explanation:

Identify the parts of each expression: terms, coefficients, constants, and degree 1. 18x^3y^2 + 8x^2 - 32y -b 6

Answers

Answer:

a) Terms

   [tex]18x^3y^2\\8x^2\\-32y\\6\\b[/tex]

b) Coefficients

   [tex]18\\8\\-32[/tex]

c)Constants

   [tex]6\\b[/tex]

d)Degree is 3

Step-by-step explanation:

From the question we are told that

[tex]18x^3y^2 + 8x^2 - 32y -6b[/tex]

Generally the terms of the given equation is as follows

     [tex]18x^3y^2\\8x^2\\-32y\\6\\b[/tex]

Generally the coefficients of the given equation is as follows

      [tex]18\\8\\-32[/tex]

Generally the constant of the given equation is as follows

      [tex]6\\b[/tex]

Generally the degree of the given equation is as follows

From the first term and highest    [tex]18x^3y^2[/tex]

The degree of the equation is 3

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