A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square
Answers
Answer:
[tex]x= 3.5[/tex]
Step-by-step explanation:
Given
[tex]k =1:4[/tex] --- scale factor
See attachment for squares
Required
Find x
The corresponding side of length x on the bigger square is 14.
So, we have:
[tex]k = x : 14[/tex]
Equate both values of k
[tex]x : 14 = 1 : 4[/tex]
Express as fractions
[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]
Solve for x
[tex]x= \frac{1 }{ 4} * 14[/tex]
[tex]x= \frac{14}{4}[/tex]
[tex]x= 3.5[/tex]
Related Questions
what differences can be found when contrasting the mood of third person acc with that of claudettes first person account?
Answers
Answer: The mood of the third-person account is less emotional and more matter-of-fact. The mood of Claudette's account is less emotional and more matter-of-fact.
Step-by-step explanation:
Which graph represents the function f(x) = 1/3 |x|?
Answers
Answer:
b
Step-by-step explanation:
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
Answers
Answer:
x = 33
Step-by-step explanation:
sin 29° = 16/x
x = 33
The functiona f(x) and g(x) are shown on the graph.
What is g(x)?
f(x)
10
-5
g(x)
A
-10
A. 9(x) = -x2 - 4
B. g(x) = -x + 4
c. g(x) = (-x)² - 4
D. g(x) = (-x)2 + 4
Answers
Answer:
A. g(x) = -[tex]x^{2}[/tex] - 4
Step-by-step explanation:
f(x) is flipped, so [tex]x^{2}[/tex] becomes -[tex]x^{2}[/tex].
After being flipped, the graph is move down 4 units.
Therefore, g(x) = -[tex]x^{2}[/tex] - 4
Please help me solve these, I tried solving them but I got confused with the signs,
a) -6x = 30 b) -3x = -9
c)-5x = 25
Answers
Answer:
a) x= -5
b) x= 3
c) x= -5
An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?
Answers
Answer:
7:3
Step-by-step explanation:
Convert one of the measurements to the other before attempting to solve the question.
1 yard = 3 feet
Multiply both sides by 3 to get:
3 yards = 9 feet
Therefore the ratio would be
21:9
Simplify to 7:3 length to height.
Newton has a population of 23 000. The population decreases exponentially at a rate of 1.4% per year. Calculate the population of Newton after 5 years.
Answers
Answer:
Step-by-step explanation: 1.4 x the amount of years = 7 then 23000 divided by 7 = 3,285.7
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
Answers
An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
Answers
Answer:
7 minutes
Step-by-step explanation:
From the question :
Descent = ascent
Initial height * descent rate = initial position * ascent rate
Plane on ground is at an initial position or height of 0
42000 - 3300t = 0 + 2700t
Where, t = time
-3300t - 2700t = 0 - 42000
-6000t = - 42000
t = 42000 / 6000
t = 7 minutes
PLEASE PLEASE PLEASE HELP 7 points
Answers
Answer:
a) 2x+(x+36)=90
Step-by-step explanation:
b) A1+A2=90°. (A=angle)
2x+(x+36)=90
2x+x+36=90
3x+36=90
3x=90-36
x=54/3
x=18
then A1=2x=2*18=36°
A2=x+36=18+36=54°
this is the question I meant to send
Answers
Answer:
30%
Step-by-step explanation:
Convert 456,300,000 to scientific notation.
Answers
Answer:
I believe it would be 4.563 x 10^8
Tan(x)-sqrt (3)=0, I know that one of the solutions should be pi/3, but I don’t know how to get to that, does anyone know how to solve this?
Answers
pleaaaaseeeeeee help!!!!!!!!!!!!!!!!!!!!!
brainliest and 20 points
Answers
Answer:
x=0
Step-by-step explanation:
Answer:
Short answer: Empty set ∅
if x is less than -1 then it can't be greater than 1
M∠ACB = 52° , find m∠CBE =________°
Answers
Answer:
(1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
(2) Distance of point C from AB = 6 cm (Radius of the circle)
(3) ∆ABC is a right triangle.
CA = 6 cm and AB = 6 cm
Using Pythagoras theorem, we have
BC2=AB2+CA2⇒BC=
√
62+62
⇒BC=6
√
2
cm
Thus, d(B, C) = 6
√
2
cm
(4) In right ∆ABC, AB = CA = 6 cm
∴ ∠ACB = ∠ABC (Equal sides have equal angles opposite to them)
Also, ∠ACB + ∠ABC = 90º (Using angle sum property of triangle)
∴ 2∠ABC = 90º
⇒ ∠ABC =
90°
2
= 45º
Thus, the measure of ∠ABC is 45º.
Step-by-step explanation:
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Answers
The question is incomplete. The complete question is :
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Solution :
From the figure, we apply the Pythagoras theorem.
Finding the lengths of the two side walks :
1st Step
In the square section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+15^2}$[/tex]
[tex]$=\sqrt{450}$[/tex]
= 21.21 m
2nd step
In the rectangular section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+8^2}$[/tex]
[tex]$=\sqrt{289}$[/tex]
= 17 m
3rd step
Therefore, the total length of the two diagonals of the two section is
= 17 + 21.21
= 38.21 m
or 38.2 m
Answer: it's D (38.2nm)
Step-by-step explanation:
What do a rectangle and a rhombus have in common? Select all that apply.
Their angle measures add to 360°.
They have four right angles.
They have four congruent sides.
The opposite sides are parallel.
Answers
The opposite sides are parallel.
Their angle measures add to 360°
wayfktgfydfug9ugi0b7ffiobv57f9pogasdfyuiohfdfhjkl
Answers
Answer:
Area of the circle = 572.3 square ft.
Step-by-step explanation:
Area of a circle is given by the formula,
Area of a circle = πr²
Here 'r' = Radius of the circle
Diameter of circle given in the picture = 27 ft
Radius of the circle = [tex]\frac{27}{2}[/tex]
= 13.5 ft
Area of the circle = π(13.5)²
= 3.14(13.5)²
= 572.265
≈ 572.3 square ft
help with questions 10-13 plz!!
Answers
Answer:
._. ;
._. ;
._. ;
Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.
Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?
Choose all answers that apply:
(Choice A)
The subset consists of all the outfits that do not have a white shirt.
(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.
(Choice C)
The subset consists of all the outfits that have a black shirt.
(Choice D)
The subset consists of all the outfits that have a white shirt.
Answers
Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
m - 12 = 11
A. -23
B. -1
C. 1
D. 23
Answers
Answer:
D. 23
Step-by-step explanation:
m-12-(11)=0
m-23 = 0
m = 23
4th grade math helplolll
Answers
Answer:
175 dollars
Step-by-step explanation:
from that word problem the equation that i was able to get out of it was
1225/ 7
^ the travel allowance and how much days they are going to be there
i dont know if you are allowed to use a calculator in your class but puting 1225/ 7 does give you a answer of a positive number of 175 dollars
meaning that they can only use 175 dollars a day so they dont go over the allowance
i hope this helps you! please stay safe and have a good day :)
Answer:
Um, the answer for that is 175.
Step-by-step explanation:
all you need to do is divide $1,225 by 7 which is 175.
In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R
Answers
Answer:
104
Step-by-step explanation:
:)
what is the volume of the cylinder?
5 yd
4 yd
cubic yards.
Volume
Answers
Answer:
volume=1yd x 1yd = q cubic yard
What is the y-intercept for the equation y= 11x + 1?
-11
-1
1
11
Answers
Answer:
1
Step-by-step explanation:
The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.
[tex]2v^{2} +14=104[/tex]
Answers
Step-by-step explanation:
[tex]2 {v}^{2} + 14 = 104 \\ 2 {v}^{2} = 104 - 14 \\ 2 {v}^{2} = 90 \\ {v}^{2} = 90 \div 2 \\ {v}^{2} = 45 \\ v = \sqrt{45} [/tex]
I will leave the answer in square root form as i am not sure if you need to round your answer or not.
.16 with the 6 repeating to a fraction
Answers
1/6
1/6
Find the sum of the interior angle measures of the polygon.
Answers
Answer:
360
Step-by-step explanation:
All the angles of a polygon add up to 360, thats kinda just how it is haha
What's the number between 1.35 and 1.351
Answers
Answer: + 1000
Step-by-step explanation:
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
16.8 cm
Answers
Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm