The coordinates of the vertices of a triangle are A( 2,3) , B ( 9,1) , C ( 12,14) Suppose each coordinate is multiplied by 3. What is the perimeter of this triangle?
Answers
9514 1404 393
Answer:
about 106.5 units
Step-by-step explanation:
The length of each side is found using the distance formula:
d = √((x2-x1)^2 +(y2-y1)^2)
For example, the length of side AB is ...
d = √((9 -2)^2 +(1 -3)^2) = √(7^2 +(-2)^2) = √53 ≈ 7.28
The other side lengths are calculated the same way. The sum of side lengths of the given triangle is ...
AB +BC +CA = 7.28 +13.34 +14.87 = 35.49
__
Multiplying each coordinate by 3 effectively dilates the triangle by a factor of 3 about the origin. That increases the perimeter by a factor of 3, so it is ...
3(35.49) ≈ 106.5 . . . . units
_____
I find it convenient to use a calculator or spreadsheet to do the tedious calculations.
Related Questions
PLEASE HELP AND SHOW YOUR WORK I WILL MARK YOU BRAINLIESt
Answers
Step-by-step explanation:
if 9 boxes is 42.75 then 1 box is 4.75 dollars
so 13 boxes would be 13X3.75 which is 61.75$
if 9b=$42.75
1b=x
9bx=$42.75b
x=$42.75b÷9b
x=$4.75
A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?
Answers
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles
Please help me to solve
✓ C
✓ D
✓ E
Answers
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Answers
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)
Answers
Answer:
Pretty sure it's B!
Step-by-step explanation:
Over the Y axis- (2,1)
To the left two times= (0,1)
Hope this helped!
Answer:
(0,1)
Step-by-step explanation:
Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)
ORDER
ORDER OF OPERATIONS
21 divided by 3 +4
Answers
Answer:
11
Step-by-step explanation:
21/3+4
7+4
11
.......
Please help
1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the
viewing platform as 37º. How far up the tower is the viewing platform?
Answers
Answer:
41.4feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Distance of Rafael from the tower = 55feet = Adjacent
Angle of elevation = 37degrees
Required
Height of the tower = Opposite
Since Tan theta = opp/adj
Tan 37 = x/55
x = 55tan37
x = 55(0.7536)
x = 41.4
Hence the tower is 41.4feet up the viewing platform
Can somebody help me. Will Mark brainliest.
Answers
Answer:
both are true
Step-by-step explanation:
have a great day
A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answers
Answer:
1 teaspoon
Step-by-step explanation:
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answers
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
triangle ABC is similar to triangle EHG , find the measure of angle EHG .
Answers
Answer:
[tex]\angle EHG = 80[/tex]
Step-by-step explanation:
Given
ABC ∼ EHG
See attachment
Required
Determine [tex]\angle EHG[/tex]
First, we calculate x in ABC
[tex]x + 2x + 60= 180[/tex]
[tex]3x + 60= 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]
and
[tex]\angle ABC = 2x[/tex]
[tex]\angle ABC = 2 * 40[/tex]
[tex]\angle ABC = 80[/tex]
Hence:
[tex]\angle EHG = 80[/tex]
Plzzz helppp!!
Which equation is equivalent to 3/5 = 17 2/5 divided by h
Answers
The correct expression will be ( 3 + 9) = ( 87 ÷ h ) + 9. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 17²/₅ ÷ h. The expression will be solved as below,
3 / 5 = 17²/₅ ÷ h
3/5 = 87 / 5 ÷ h
h = 87 / 3
h = 29
Check option C for the value of h = 29.
3 + 9 = ( 87 / h ) = 9
3 = 87 / h
h = 87 / 3 = 29
Hence. the correct option is C.
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Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answers
Answer:
opposite word of disperse
someone help :))))!!
Answers
What is the value of x? Round to the nearest tenths place.
Answers
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
i need help asap! pls
Answers
The answer is b) because one of the line passes through this point
A rectangular garden measuring 28 m by 45 m is bordered (and surrounded) by a fence. Inside, a walk that is 4 m wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
Answers
Answer:
1219 square feet
Step-by-step explanation:
cause
If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?
Answers
Answer:
Step-by-step explanation:
100(14(6))/(3(7))
100(84/21)
100(4)
400%
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answers
Answer:
$315
Step-by-step explanation:
slove this and get brainliest!!
please be sure of your answer!!!!!!!
Answers
Answer:
Option A
37°
Step-by-step explanation:
4x+ 2 = 150° [Vertically Opposite Angles]
=> 4x = 150 - 2
=> 4x = 148
[tex] = > x = \frac{148}{4} [/tex]
=> x = 37° (Ans)
Answer:
(4x+2)°=150°[by vertical opposite angles]
4x=150-2
4x=148
x=148/4
x=37
pls help and explain I will mark you brainliest btw. :)
Answers
Step-by-step explanation:
count the number of full boxes
count yhe number of the unfull boxes
then add them together
divide the answer by two
Please help me I don’t understand this stuff lol
A) 5/3
B) 5/4
C)10/3
D)4/3
Answers
Answer:
The answer is 4/3. I hope it's corect and this helps.
Step-by-step explanation:
Answer:
I dunno man
Step-by-step explanation:
In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24
Answers
Answer:
Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answers
Answer:
3.8 quarts
Step-by-step explanation:
An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?
Answers
Answer:
possibly $1
Step-by-step explanation:
don’t know how to explain but I hope this helps
Answer:
4454
Step-by-step explanation:
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answers
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
Find the area.
4 cm
6 cm
6 cm
square centimeters
Answers
Answer:
96cm
Step-by-step explanation:
4cm x 4cm x 6cm = 96scm
A square has a triangular hole in it. What is the area of the figure? 100 in2 92.5 in2 85 in2 70 in2
Answers
Answer:
how big is the hole ?
Step-by-step explanation:
i think the answer is B tho
pls give brainliest
Answer:
?
Step-by-step explanation:
I need help on this pls help meh
Answers
Answer:
the missing side T-F is 8. the missing side F-K is 3.
Step-by-step explanation:
hope I helped
Answer:
(SR*ST)+(FK*KL)=66cm²
Step-by-step explanation:
RL=ST+F K
9= 6+x
F K=3
T F=8
Area of this figure= (3*2)+(6*10)
=6+60=66 cm²
Find the surface
area of 11mm 8mm 22mm
Answers
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
Step-by-step explanation: