If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
What are the area and volume of similar solids?Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.
Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.
When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.
A comparable relationship holds in three dimensions as well.
Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.
Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
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Jim took 2 hours to take a test. He figured it took him 4
minutes to answer a multiple choice question, 8 minutes to
do a problem of just calculations, and 12 minutes to
complete a word problem. There were 15 questions and
he answered the same number of calculation problems as
word problems. How many multiple choice questions did
he answer?
Answer: it would be 5
Step-by-step explanation: i hope this helps
What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2
Answer:
o 240 cm2
Step-by-step explanation:
Watch help video
The population of a city increases by 0.8% per year. If this year's population is
108,000, what will next year's population be, to the nearest individual?
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &108000\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=108000(1 + 0.008)^{1}\implies A=108000(1.008)\implies A=108864[/tex]
Use the regression calculator to compare the teams’ total home runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled h r with entries 200, 158, 149, 146, 138, 137, 131, 116, 103. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. what is the average rate of change of the trend line? round to the nearest hundredth.
The average rate of change of the trend line is 0.39
How to determine the average rate of change of the trend line?The points are given as:
hr =>200, 158, 149, 146, 138, 137, 131, 116, 103.
w => 93, 94, 66, 81, 86, 75, 61, 69, 55.
Using a graphing calculator, we have the following calculation summary:
Sum of X = 1278Sum of Y = 680Mean X = 142Mean Y = 75.5556Sum of squares (SSX) = 6044Sum of products (SP) = 2355The average rate (m) is then calculated using:
m = SP/SSX
This gives
m = 2355/6044
Evaluate the quotient
m = 0.38964
Approximate
m = 0.39
Hence, the average rate of change of the trend line is 0.39
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Answer:
0.39
Step-by-step explanation:
Help please!
Carl’s transactions for a year are given in the table. His broker charged him $5 per trade. How much does Carl pay his broker? What is the final return after paying his broker’s fees?
Carl’s total brokerage fees were ($5, $15, $50) for the year. His final return for the year was ($2950, $2985, $2995) after deducting all fees but before paying taxes on the return.
Answer:
$15 and $2,985
Step-by-step explanation:
Which postulate proves these two
triangles are congruent?
B. SSA
A. HL
D. None, not congruent
C. ASA
i believe that it is choice: a.
i hope this helps
I need help PLEASEEEEEEEEEEEEEE
Answer:
318
Step-by-step explanation:
318 is the required answer
I hope it helped you
So given Figure we need to find total surface area
=Area(ABCD)+Area(BCRQ)+Area(QRSP)+Area(ADSP)+Area(ABQP)+Area(DCRS)
=(AB×BC)+(BC×CR)+(QR×RS)+(AD×DS)+(AB×BQ)+(DC×CR)
From figure,
AB=DC=PQ=SR=9 cm
BQ=CR=AP=DS=11 cm
BC=AD=QR=SP=3 cm
On substituting these values We get
Surface Area=(9×3)+(3×11)+(9×3)+(11×3)+(9×11)+(9×11)
=27+33+27+33+99+99=318
I hope it helped you
Answer:
318
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·3+11·3+11·9)=318
Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid- ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can Kip make?
Answer:
3
Step-by-step explanation:
ax2 + bx + c
Use the X method to find the solutions of
6x2 + 2x - 20 = 0.
X=
ac
X=
Answer:
X=-1/2 or x=5/3
Step-by-step explanation:
1. is -2
2. 5/3
i got it right
WILL GIVE BRAINLIEST The solution to 12x = 36 is x =___. (Only input whole number)
Answer:
3
Step-by-step explanation:
12 x 3 = 36
Answer: if im not wrong it is 3 the other person who already answered is correct
Step-by-step explanation:
also please answer this it makes no snese
Answer:
? = 106°
Step-by-step explanation:
the 2 angles marked with double arcs are equal
the sum of the interior angles of a quadrilateral = 360° , then
63° + 85° + 2? = 360° , that is
148° + 2? = 360° ( subtract 148° from both sides )
2? = 212° ( divide both sides by 2 )
? = 106°
Assume the radius of a circle is
unit
What is the area of the circle? What is the circumference?
How many radii are needed to wrap completely around the circle? Express your answer as a decimal approximation and as an exact value.
Does the size of the circle matter? That is, does the number of radii needed to wrap completely around the circle change as the radius of the circle gets larger or smaller? Why does this make sense?
Exactly how many radians are in
? In
Answer:
Step-by-step explanation:
They want you to see how radius is important. Just remember that one radian is one radius, that should help you see why radius is important.
They ask for the unit circle , that is a circle of one unit for the radius, which makes it super easy to calculate things for it, they ask what is the area, which is that famous formula, π[tex]r^{2}[/tex] , then they ask what's its circumference. which is that other famous formula 2πr
so to go all the way around a circle of one unit radius, it's 2π exactly or about 6.28..... units, call it meters, or feet or inches, it doesn't mater here.
the size of the circle doesn't matter here either, b/c we are using the radius , that relaationship doesn't change , all circles, what ever size , have this same relationship between the radius and radians. :P this is handy.
Can someone solve this now please
mildred has a bag of coins. the bag contains 10 dimes, 5 nickels, and 1 penny. she will randomly select 2 coins from the bag one at a time without replacement.what is the probability that mildred will select a dime first and then a penny.
Answer:
1/24
Step-by-step explanation:
10/16 × 1/15
the probability of her picking a dime first is one by twenty four
Find the circumference of the circle to the nearest tenth. Use 3.14 for π. It is Zeny’s birthday. Teddy wants to buy a round cake for his presents. The radius of the cake is 11cm. What is the circumference of the cake?
Work Shown:
C = 2*pi*r
C = 2*3.14*11
C = 69.08
C = 69.1
This is the approximate distance around the circle, aka the perimeter.
Answer:
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
Step-by-step explanation:
Given:
Radius of the cake :- 11cmTo find:
Circumference of the cakeSolution:
To find the circumference of the circle we are require radius and which is already mentioned in the Ques.
Formula
Circumference of circle =2πrCircumference of cake = 2*3.14*11
Circumference of cake= 22*3.14
Circumference of cake = 69.08cm
Hence, the circumference of cake is 69.08cm.
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
How many license plates can be made using three uppercase English letters followed by four digits
Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? round your answer to the nearest tenth of a percent. %
The probability that the dart lands within the dartboard given the area of the dartboard and the square is 78.6%.
What is the probability?
Probability is the odds that an event would happen. The odds the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the dart lands within the dartboard = area of the dartboard / area of the square
25π / 100
(25 x 3.14) / 100 = 78.6%
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Answer:78.5 is the answer
Step-by-step explanation:
Based on a survey of U.S. residents completed in 2014, ___________ percent of respondents agreed that global warming is occurring
Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:
[tex]P = \frac{520}{1000} \times 100\% = 52\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
Jose plotted points on a coordinate plane to represent the vertices of a rectangle. The first two points are sown below. Which could be the other points Jose plotted? Which could be the other point Jose Plotted?
A C(6,5) and D(6,6)
B C(7,5) and D(7,1)
C C(5,8) and D(1.8)
D C(4,7) and D(4,3)
Please Someone Help Me With This Question
Answer:
B
Step-by-step explanation:
One easy way to solve this (considering it's on paper) would be to just plot the points of each option (because a rectangle is a quadrilateral which is equiangular (right angles) and a parallelogram).
Another way to solve this is the fact that it's angles are right angles. This means that a point has to be on the line y=5 and another point has to be on the line y=1. This means that the y coordinates of the other two points has to be 5 or 1, making the only possible answer B.
What is the slope of the line in the graph below?
Find the geometric mean between 20 and 30. If necessary, round to the nearest tenth
A) 17.3
B) 7.1
C) 24.5
D) 25
John and Sam went to eat pizza. They each decided to order a
regular cheese pizza. John ate 8/16 of his pizza and Sam ate 2/4
of her pizza. Who ate most of their pizza?
HEELPPP HURRYYYY PLISSS
Answer:
Option C:- 1,232cm³
Step-by-step explanation:
radius r = 7 m
height h = 24 m
slant height s = 25 m
volume V = 1231.50432 m3
lateral surface area L = 549.778714 m2
base surface area B = 153.93804 m2
total surface area A = 703.716754 m2
Answer:
C 1232cm^3
Step-by-step explanation:
Hope this helps!
3+(-0.8)+0.25+(-0.75)
By simplifying the expression we get
1.7
Please solve this!!!
Answer:
I believe A has the proper quartiles and the approx median marked correctly
Step-by-step explanation:
Judging by appearance, is it reasonable to say that the figures below are similar? How do you know?
Answer:
C
Step-by-step explanation:
the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.
there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.
the smaller figure appears rotated compared to the other.
so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Five students plot their arm span and height
on the graph below.
Which of the following describes one
of these 5 students?
Answer:
She will save 1.24
Step-by-step explanation:
2.65 x 4 10 .60 plus .53 x 4 equals 12.72
6.48 x 2 equals 13.96
tell me if im wrong<3
Answer:
The correct answer would be D
Step-by-step explanation:
Most of the students have an average height around 166-180
and the arm span of 162-165
Student D has over the average 195 and an arm span of 188 so the correct answer would be D
Can someone help me solve these??
Answer:
m < FGH = 83
mPM = 139
Bottom left:
x = 16
Bottom right:
x = 5
Step-by-step explanation:
The measurement value (which is sometimes referred to simply as the measurement) is the value given by a measuring instrument and the true value is the actual value of the property being measured.
Please answrer Thank you
Answer:
x° = 48°
Step-by-step explanation:
The triangle is isosceles where two angles and sides are the same.
We know that the triangle equal to 180°.
So
x° + 66° + 66° = 180
x° + 132° = 180°
x° = 48°
circle A has a radius of 21 meters. circle B
has a radius of 28 meters.
A) Find the circumference of each circle in terms of pi.
Answer:
Circle A: 42π m
Circle B: 56 π m
Step-by-step explanation:
Base on the given:
Circle A has a radius of 21 meters.
Circle B has a radius of 28 meters.
To Find:
Find the circumference of each circle in terms of pi.
Note:
pi = 3.14 (About)
Formula:
C = 2πr
Solution:
Circle A:
2 × π × 28
21 × 2 = 42
Circle B:
2 × π × 28
28 × 2 = 56
Thus,
Circle A : 42 π m
Circle B : 56 π m
Kavinsky