The dimensions of this figure are changed so that the new surface area is exactly 1/4 what it was originally.
Answers
Step-by-step explanation:
I assume the changes to the dimensions were made by using the same factor for each dimension, right ?
so, what do we need to do or calculate ? what is the desired result ?
the surface areas ? the new dimensions ? the volume ?
or only the factor of how much the dimensions changed, when the surface area was changed to 1/4 ?
????
I assume the last one, because there is so little information about what to do.
the surface area is calculated based on the areas of the various rectangles in the surface of the object.
each rectangle area is the result of multiplying 2 dimensions.
as the whole surface area shrinks by the factor 1/4, it means that every rectangle on the surface also shrinks by the factor 1/4.
and this factor 1/4 is the result of multiplying 2 dimensions. each dimension was changed by multiplying it with the same factor as every other dimension.
so, factor×factor = 1/4
factor² = 1/4
factor = sqrt(1/4) = 1/2
so, yes, in order to shrink the surface area to 1/4 of the original size, all the dimensions need to be cut in half (multiplied by 1/2).
Related Questions
A city's bus system has a red-line and a blue-line. Both a red-line bus and a blue-line bus are currently at the City Hall Station. If a red-line bus arrives at the City Hall Station every 12 minutes and a blue-line bus arrives at the City Hall Station every 10 minutes, after how many minutes will the two buses next arrive at the City Hall Station at the same time?
Answers
Answer:
5.45minutesStep-by-step explanation:
Given that the arrival time of the redline bus= 12minutes
arrival rate = 1/12 arrival per minutes
arrival time of the blueline bus= 10minutes
arrival rate = 1/10 arrival per minutes
the combined arrival rate is given by the expression
let redline be A
and blueline be B
and let the combines arrival rate be x
A+B/(A*B)=1/x
1/12+1/0=1/x
12+10/12*10=1/x
22/120=1/x
x=120/22
x=5.45minutes
(I have more questions unanswered around this point value in the subject of quadratic formula.)
Answers
Answer:
we dont know
Step-by-step explanation:
whwhhsjsksnd
Answer:
y =3 x 2 6 x +3 is the answer
Step-by-step explanation:
The equation 8m+3=75 models how many months, m, it takes a tree to reach a height of 75 inches after being potted. If the tree grows the same number of inches each month, how many months does it take the tree to reach a height of 75 inches?
A.72 months
B.25 months
C.9 months
D.8 months
Answers
Answer:
9 months
Step-by-step explanation:
8m + 3 = 75
-3 -3
8m = 72
/8 /8
m = 9
In 9 months the tree will be 75 inches tall
What is the X and Y for this??????
Answers
Brian is 1 meter 87 centimeters tall. Bonnie is 58 centimeters shorter than
Brian. Betina is 26 centimeters taller than Bonnie. How tall is Betina?
Answers
2(x-6) + 6 = 4x - 4
Find X
Answers
Step by step explanation:
Step 1:
[tex]2(x-6) + 6 = 4x - 4[/tex]
Step 2:
[tex]⇒2x - 12 + 6 = 4x - 4[/tex]
Step 3:
[tex]⇒2x - 6 = 4x - 4[/tex]
Step 4:
[tex]⇒ - 6 + 4 = 4x - 2x[/tex]
Step 5:
[tex]⇒2x = - 2[/tex]
Step 6:
[tex]⇒x = \dfrac{ - 2}{2} [/tex]
Step 7:
[tex]⇒x = - 1✓[/tex]
[tex]◈verification◈[/tex]
Step 1:
[tex]2( - 1-6) + 6 = 4( - 1) - 4[/tex]
Step 2:
[tex]⇒2( - 7) + 6 = - 4 - 4[/tex]
Step 3:
[tex]⇒ - 14 + 6 = - 8[/tex]
Step 4:
[tex]⇒ - 8 = - 8[/tex]
[tex]†hence \: vertified†[/tex]
PLEASE HELP FOR BRAINLEST!!!
Answers
Answer:
oh this isnt math but im learning about this
electrical ; thermal
Step-by-step explanation:
because the computer turns on with electricity then it gets hot which is thermal
Spinner Results
Color Frequency
Red 4
Blue 3
Green 2
Yellow 2
Purple 6
Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Answers
Step-by-step explanation:
so, we had
4+3+2+2+6 = 17 experiments
I assume the spinner has 5 equality sized fields with different colors.
so, normally we would assume that in average each color has the same probability : 1/5 (desired results over totally possible results).
the experiments with the actual spinner give us now observational data and probabilities.
after all, a spinner (as a die, or a roulette wheel, or ...) can have slightly different probabilities for the individual outcomes based on design and manufacturing.
so, based on these results we see the actual probabilities like this
red 4/17
blue 3/17
green 2/17
yellow 2/17
purple 6/17
so, the observed probability shows us a probability of blue in the next spin to be 3/17.
please note, that after that next (18th) spin all the observed probabilities have to be updated depending on the actual result.
so, if the result of spin 18 is indeed blue, the probabilities for spin 19 would change to
red 4/18
blue 4/18
green 2/18
yellow 2/18
purple 6/18
I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!! 25 POINTS AND BRAINLY
Answers
Answer:
I think the final price is $252.19.
Step-by-step explanation:
Hope it's right! Good luck, dear! <3
201.75 price after reduction then with the mark up it gets changed to 252.19
use the distributive property to fill in the blanks: 5 × (3 + 7) = (5 × ) + (5 × )
Answers
Good Luck and be careful from suspicious links.
What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1?
The slope is –10, and the y-intercept is –1.
The slope is –10, and the y-intercept is 1.
The slope is –1, and the y-intercept is –10.
The slope is 1, and the y-intercept is –10.
Answers
Answer:
B) the slope is -10 and the y-intercept is +1
Step-by-step explanation:
The lope comes before the x, and the y-intercept comes after the x. Hope this helps.
Answer:
the answer is B
Step-by-step explanation:
i did the math QUIZ 8th grade EDG
Please help me I don’t understand.
Answers
Answer:
Its below
Step-by-step explanation:
8x-3:
Number of terms: 2
Coefficient: 8
Constant: -3
4m + n + 11:
Number of terms: 3
Coefficient: 4,1
Constant: 11
Answer:
numbers of terms are 3
coefficient is4
constant 11
Step-by-step explanation:
!PLEASE HELP, THANK YOU!
Which 3-D figure matches the surface area formula?
Figure A
Figure B
Figure C
Figure D
Answers
Answer:
D
Step-by-step explanation:
you mean the formula is 4×pi×r² (not 4×pi/r²), right ?
then the correct answer is the sphere (ball).
the surface area of a cylinder is
top and bottom circle area = pi×r² each = 2×pi×r² both
and the mantle is 2×pi×r×height
the surface area of a block has nothing to do with pi.
it is the sum of 6 rectangles.
the surface area of a cone is
A = πr(r + sqrt(h² + r²))
again, also depending on "hight"
what is exponential growth ?
Answers
growth whose rate becomes ever more rapid in proportion to the growing total number or size.
Find the upper bound for the following lengths:
a) 14.2 cm correct to 1 decimal place.
Answers
Answer:
14.25
Step-by-step explanation:
1 d.p so 1/2=0.5
14.2+0.5=14.25
A store’s supply/demand graph for MP3 players is shown above. If the price is at the equilibrium point, how much money will the store make by selling MP3 players? a. $1,275 b. $1,600 c. $3,150 d. $3,300.
Answers
Creo que es 3,300, si aunque no entiendo bien
1/4 x 32= ? please help thank you
Answers
Answer:
8
Step-by-step explanation:
32x1 over 4 is 32 over 4, or 32 divided by 4, which is 8.
If 50 miles in 2 hours a rate
Answers
Answer:
25 mph
Step-by-step explanation:
50/2 = 25 mph
You travel 25 mph
Have a good day!
Please rate and mark brainliest!!
Izzie stevens or jo Wilson
Answers
Answer:
Step-by-step explanation:
What ever one you think is better.
Answer:it is jo wilson
can someone help me do 1 and 2?? Thank you so much !!!!!!!
Answers
Answer:
106 degrees
Step-by-step explanation:
1. Supplementary angles add up to 180. So subtract 74 from 180 to find the measure of angle C.
2. The full square isn't visible to answer.
1. m∠C = 106°
If angle A and angle C are supplementary, then the sum of their measures is 180°. Thus:
m∠A + m∠C = 180°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
sorry number 1 lang asan kase yung figure sa number 2
The town of Manchester contains a business area in the center of town that has the shape of a disk with a radius of 11 mile.
If no one resides in the business area, what is the population density in Manchester, in people per square mile, outside of the
business area?
Round your answer to the nearest whole number of people per square mile.
Answers
Answer:
58,241
Step-by-step explanation:
I just searched it up and it said the answer!
ZA and B are vertical angles. If m_A = (3x - 30° and mZB = (2x – 9)°,
then find the value of x.
Answers
-2x -2x
1x-30=-9
+30 +30
1x=21
21/1
x=21
class quuestion
3x + 2 = 6x -10
Answers
Answer:
Step-by-step explanation:
The sum of 19 and a number x is equal to 22
Answers
Answer:
x = 3
Step-by-step explanation:
19+1=20
19+2=21
19+3=22
Or you can subtract 22 and 19 to find x
I'm so sorry if I get it wrong. Have a great day and good luck!
Explications
19+1=20
19+2=21
19+3=22
What kind of angles are angle 1 and angle 2?
13
A
O No Relationship
O Complementary angles
O Vertical angles
Linear Pair
Answers
Answer:
complementary angles
QUICK whoever gives correct answer will get brainliest please and thank you.
Answers
Answer:
A i think
Step-by-step explanation:
when theres function i like to think of vending machines
if you pick 5 you get soda
but in b if you pick 5 you get soda,candy,orange juice, etc.
so b is wrong
c is the same
if you pick 1 you get chips
but in c if you pick 1 you can also get chips, gummies, etc
i feel like D is wrong but im still thinking of how to explain it, ill edit my comment when i figure it out!
Edit:
D may look right, but pay very attention! theres some where 1 is equal to another number and where 2 also equals another number
(1, 2) and (1, 0)
(2, 3) and (2,1)
ASAP drusilla built a model airplane using the scale 1/2 in = 7 ft the wingspan of the model is 15 inches what is the actual wingspan
b 100ft
d 210ft
Answers
Answer:
D, 210 ft
Step-by-step explanation:
half in inch equals 7 ft and if theretheres 15 in
15x2=30
30×7=210
Solve this inequality. 9p < -81
A.
p > 90
B.
p < -9
C.
p < -90
D.
p < 72
Answers
Answer:
B. p < -9
Step-by-step explanation:
Given inequality:
[tex]9p < -81[/tex]
divide both sides by 9:
[tex]\implies \dfrac{9p}{9} < -\dfrac{81}{9}[/tex]
[tex]\implies p < -9[/tex]
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x.
Answers
The factors of the given expression [tex]144-49x^{2}[/tex] will be [tex](7x+12)(7x-12)[/tex]
What will be the factors of the given equation?It is given that
[tex]144-49x^{2}[/tex]
Now by simplifying it
[tex](12)^{2} -(7x)^{2}[/tex]
Now from the formula, we know
[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]
So it will become
[tex](12)^{2} -(7x)^{2}= (12-7x)(12+7x)[/tex]
Thus the factors of the given expression [tex]144-49x^{2}[/tex] will be (7x+12)(7x-12)
To know more about the Factors follow
https://brainly.com/question/25829061
If x= 2 find the value of 80 - 4x^2
Answers
Answer:
It's 16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2+(x-4)^2-(80^2)=0
Step by step solution :
STEP
1
:
1.1 80 = 24•5
(80)2 = (24•5)2 = 28 • 52
Equation at the end of step
1
:
((x2) + ((x - 4)2)) - (28•52) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 - 8x - 6384 = 2 • (x2 - 4x - 3192)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 4x - 3192