The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answers
The scale factor of the triangles will be 17 / 74 or 0.2297.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled copy of the triangle on the left.
Then the scale factor of the triangles will be
⇒ 17 / 74
⇒ 0.2297
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ1
Related Questions
. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________
Answers
Answer:
Original Cost = $1.50 per CD
Discount = $1.50
Discounted Cost = $13.50
Discounted Cost = $1.35 per CD
You Saved = $0.15 per CD
Step-by-step explanation:
$15/10CDs = $1.50
$15x10% = $1.50
$15-$1.50 = $13.50
$13.50/10CDs = $1.35
$1.50-$1.35 = $0.15
A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 7?
Give your answer in fraction form.
Answers
Answer:
the answer to the question is
Step-by-step explanation:
43/50
Answer: the answer is 43/50
Please give me an answer with an explanation.
Answers
Answer:
40 and 10
Step-by-step explanation:
1. if the length is 'l' and height is 'h', then according to the condition 1/4*l=h.
2. if the given area is 400, it means, h*l=400;
3. if to substitute h=1/4*l into the formula of the area, then
l*l*1/4=400; ⇔ 1/4*l²=400;
4. if to calculate the value of the 'l', then l=40 (the required length).
5. if to substitute l=40 into 1/4*l=h, then h=10 (the required height).
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answers
Take 22.50. Divide by 15
You get 1.5
Then 12 * 1.5 = 18
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18
condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A
Answers
Answer:
sin5A+sin3A=cos2A-cos6A
2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)
[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]
[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]
-1/2sinA=1
-1/2=sinA
sinA=sin(180+30),sin(330)
:.A=210,330
rewrite the following expression x^9/7
Answers
Answer:
[tex]\sqrt[7]{x^9}[/tex]
Step-by-step explanation:
its kinda difficult for me to explain so i guess just use this equation next time:
[tex]x^{m/n} = \sqrt[n]{x^m}[/tex]
Looking for the answer to this
Answers
Given system of linear equations are ,
x + y = 2 -3x + y = 2And we need to find the Solution of the linear equation . So let's Firstly number the equations .
[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]
→ Multiplying equⁿ (i) by 3 ,
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
→ Adding the two equations ,
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
→ Put y = 2 in (i) ,
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
★ Hence the required solution is ( 0 , 2 ) .Write a polynomial in standard form with the zeros –4, 0, 1, and 4.
Answers
Answer:
uhhm
Step-by-step explanation:
....
The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x
Polynomial functions are functions that have a leading variable of 3 and above.
Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:
(x+4)), x-0, x-1 and x - 4
To get the polynomial function required, we will take the product of the factors as shown:
= x(x-1)(x+4)(x-4)
= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)
f(x)= x⁴-16x²-x³+16x
Rearranging
f(x) = x⁴- x³ - 16x²+16x
Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.
Learn more here: https://brainly.com/question/14263896
en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender
Answers
Answer:
Que? No se.
Step-by-step explanation:
Answer:
805
Step-by-step explanation:
What is true about (0, 5)
Answers
Answer:
0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.
Step-by-step explanation:
{ x is an odd whole number less than 9}
Answers
This may be more complicated than it looks but here are the odd numbers before nine:
1, 3, 5, 7
Hope this helps!
find the remainder when x³-2x²+4x-3 is devided by x-2
Answers
Answer:
x²+4
Step-by-step explanation:
Find the value of X.
A. 9
B. 18
C. 4
D. 14
Answers
Answer:
C is the answer
Step-by-step explanation:
10x=180-140
so,x=40÷10=4answer
the sum of a number and its inverse equals 3 29/52, write the mathematical expression
Answers
Answer:
Step-by-step explanation:
The sum of a number and its inverse is 3 29/52. Find the number?
x+1/x=329/52
x+1/x-329/52=0
solve the fraction
(
using the quadratic formular
Answer:
Step-by-step explanation:
the yellow is the glow in the dark kind
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Answers
m=n give reason
2)x=y. give reason
3) y+n = x+m give reason
Answers
Answer:
[tex]m = n[/tex] --> Corresponding angle
[tex]x = y[/tex] --> Vertically opposite
Step-by-step explanation:
Given
The attachment
Required
State the reason for the given statements
m = n
m and n are corresponding angles.
So:
[tex]m = n[/tex]
x = y
x and y are vertically opposite angles
So:
[tex]x = y[/tex]
[tex]y + n = x + m[/tex]
In (b)
[tex]x = y[/tex]
Add m to both sides
[tex]x + m = y +m[/tex]
In (a) [tex]m = n[/tex]
So, substitute n for m on the left hand side
[tex]x + n = y + m[/tex]
Solve the system using substitution. Show your work and give your answers as an ordered pair.
Answers
The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500
Answers
Answer:
45
Step-by-step explanation:
3+1.5+3+1.5=9
9*500=4500
4500/100=45
A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=
Answers
Answer:
11. 16
12. -19
13. -9
14. -5
15. -13
Step-by-step explanation:
A race-car is driving counter-clockwise on a circular track with a radius of 1.9 miles. The car starts at the 3 o'clock position and travels at a constant speed of 85.5 miles per hour.
What distance (in miles) has the race-car traveled if the car has swept out an angle of 212 degrees?
_____miles
What is the measure of the angle swept out by the car (in radians) if the car has traveled 4.9 miles?
_____radians
Define a function, h, that gives the race-car's distance above the horizontal diameter of the track (in miles) in terms of the number of hours since the race-car started driving, t.
Answers
Answer:
The answer is below
Step-by-step explanation:
The car is moving in a circular track with a radius of 1.9 miles. The distance covered by the car if the track is revolved once = 2π * radius of the track.
a) Since the car has swept out an angle of 212 degrees, the distance covered by the race car = [tex]\frac{212}{360}*2\pi(1.9)=7.03 \ miles[/tex]
b) If the car traveled 4.9 miles, the angle swept out (θ) is:
[tex]4.9= \frac{\theta}{360} * 2\pi r\\\\\theta=\frac{4.9}{2\pi (1.9)}*360 \\\\\theta=147.76^o=147.76^o*\frac{\pi}{180} \\\\\theta=2.58\ rad[/tex]
c) h = distance covered, t = time in hourss.
Hence:
h = 85.5t
The race-car's motion round the track is a repeating motion that can be
described by a sinusoidal function.
The correct responses are;
Distance travelled when the car swept an angle of 212° ≈ 7.03 milesIf the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radiansThe function is; [tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].Reasons:
Known parameters are;
Radius of the track, r = 1.9 miles
Point the car starts = 3 O'clock
Speed of the car = 85.5 mph
Required:
Distance swept out when the car traveled an angle of 212°.
Solution;
Distance of one complete turn = 2·π·r
Angle of one complete turn = 360°
Therefore, at 212°, we have;
[tex]\dfrac{212^{\circ}}{360^{\circ}} \times 2 \times 1.9 \times \pi \approx 7.03[/tex]
Distance travelled when the car swept an angle of 212° ≈ 7.03 milesRequired:
The measure of the angle swept out by the car if the car has travelled 4.9 miles.
Solution;
Let, θ represent the angle, we have;
[tex]\dfrac{\theta}{2 \cdot \pi} \times 2 \times 1.9 \times \pi \approx 4.9 \ miles[/tex]
We get;
[tex]{\theta} = \dfrac{4.9 \ miles}{2 \times 1.9 \ miles \times \pi } \times 2\cdot \pi \approx 2.58 \ radians[/tex]
If the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radiansRequired:
The function, h, that gives the distance of the above the horizontal
diameter of the track (in miles) in terms of the number of hours since the
race-car started driving, t.
Solution;
The function that gives the car height can be presented as follows;
The angular velocity, ω = [tex]\dfrac{v}{r}[/tex]
Therefore;
[tex]\omega = \dfrac{85.5 \ mph}{1.9 \ miles} = 45 \ rad/hour[/tex]
The general form of the sinusoidal function is h = A·sin[k·(θ - b)] + c
Therefore, we get;
h = 1.9·sin[k·(θ - b)] + c
The period, T = 2·π/ω = 2·π/k
Therefore, given that ω·t = θ, we get;
h = 1.9·sin[ω·t - b] + c = 1.9·sin[45·t - b] + c
The vertical sift, c, and the horizontal shift, b, can both be taken as zero,
given that the sin(0) = 0, therefore;
h = 1.9·sin[0] + c = c = 0, such that the at the start, t = 0, the car is at a
distance of h = 0 above the horizontal line.
The function, h, that gives the distance of the car above the
horizontal track, in terms of the number of hours since the car started
driving, t, is therefore;
[tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].Learn more here:
https://brainly.com/question/16014064
I need help solving 4th grade math
Answers
Answer:
Whats the math?
Step-by-step explanation:
sir/miss please add something to answer or this can be reported so remake this add something then we will answer
WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY
Answers
Answer:
1. 8.4 in 2. 33.6
Step-by-step explanation:
In a relation, the input values can also be referred to as the __________?
Answers
Answer: The answer for the blank is domain.
Step-by-step explanation: Domain is the input of a function, and range is the output.
The area of the four walls of a room is 156 m2. The breadth and height of the room are 8 m and 6 m
respectively. Find the length of the room.
Answers
Breadth=8m height=6m
⇒ L.S.A=2(bh+lh)=2(l+b)h
⇒156=2(l+8)h
⇒156=2(l+8)×6
⇒l+8=
12
156
=13
∴l=13−8=5m
Hence, length of the room=5m
-5 + 8 • -7
help lols
Answers
Answer:
Step-by-step explanation:
-5 + (8 x -7)
using PEMDAS, (8 x -7) = -56
so -5 + -56 = -61
A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.
Answers
Answer:
kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj
Step-by-step explanation:
For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition.
∫(x+5)/x^3+7x+5 dx
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer :
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
Step-by-step explanation:
The similar integrands and the prediction ( conclusion )
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
attached below is a detailed solution
Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest
Answers
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
For what value of x do the expressions 2x +3 and 3x -6 have the same value?
Answers
Answer:
9
Step-by-step explanation:
2x+3=3x-6
3+6=3x-2x
9=x
Answer:
x= 9
Step-by-step explanation:
hello :
2x +3 = 3x -6
2x-3x=-6-3
-x= -9
so : x= 9
(2x^3-4x^2+7x-3)/(2x^2 +5)
Divide using long division