The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.

Scale factor: 4:5

Surface area: 160

volume: 704

Surface area: ?

volume: ?

Answers

Answer 1

Answer:

Surface area: 250

Volume: 1375

Step-by-step explanation:

Scale factor: 4:5

This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So

[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]

Volume:

The volume is found multiplying the cube of the change(5/4) by the original volume(704). So

[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]


Related Questions

Find the percent of change, original: $75 new: $60

Answers

Answer:

80%

Step-by-step explanation:

60/75 = 4/5 = 0.80

Therefore, the percentage of change is 80%.

80% is the rate of change in that equation

how do i solve this step by step PLS HELP ASAP

Answers

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

You want to estimate the mean number of sentences in a magazine advertisement.How many magazines advertisements must be included in the sample if you want to be 95% confident that the sample mean is within one sentence of the population mean

Answers

Complete question:

You want to estimate the mean number of sentences in a magazineadvertisement. How many magazine advertisements must beincluded in the sample if you want to be 95% confident that thesample mean is within 1 sentence of the population mean ? (sigma =5)

Answer:

96

Step-by-step explanation:

We have level of confidence = 95%

Alpha = 1-0.95

= 0.05

Alpha/2 = 0.025

Z-alpha/2 = 1.96

E = margin of error = 1

For this question the formula to derthe sample size is given as:

n = [(Za/2 x sigma)/E]²

n = (1.96 x 5/1)²

n = 9.8²

= 96.04

So 96 magazines advertisement must be included in the sample to be 95% confident.

Find the slope of the line graphed below.

Answers

Answer:

3over 2 because u go up by 3 and right by 2 u welcome

The answer is the second one -2 because you go straight down. I would think -1 over -2 but that answer is not there so -2

if a rectangle has an area of 32cm², a height of 8cm,what is the length of the other side?​

Answers

Answer:

the answer for this question is 4

Answer:

4

Step-by-step explanation:

Help me please will give brainliesttt

Answers

For the first question the answer would be Enlarged.
For the second question, the Scale Factor is 1/4, which is a reduction
I agree with the guy or girl above me :)

PLEASE ANSWER THIS I AM ON THE LAST SRAW WITH MY MOM

Answers

Answer:

A .25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3 dozen is 3 x12 because a dozen is 12. Do 9/36, you get $.25. Sorry about your mom lol.

HELP KHAN ACADEMY BE QUICK WILL GIVE BRAINLIEST.

Answers

Answer:

Just make a duplicate tab, disconnect your internet, click use a hint until it gives you the answer, then when you get it close that tab, reconnect the internet then kpow

Step-by-step explanation:

your welcome lol

Answer: I'm not quite there yet. lol

the 30% discount on a $49 dollhouse​

Answers

Answer:

$34.3

Step-by-step explanation:

0.3 times 49 equals 14.7

49-14.7=34.3

Can someone help me

Answers

Answer:

3 cm

Step-by-step explanation:

First, we have to understand what happens if two shapes are similar. When two shapes are similar, the angles are equal in both. This means the sides will be in the same ratio from one shape to another.

[tex]\frac{7.2}{t}=\frac{9.6}{4}[/tex]

Using the equation above, we can find t. We use cross multiplication (ad = bc)

7.2 * 4 = 9.6t

9.6t = 28.8

t = 3 cm

For triangle △ABC below, prove base angles A and C are congruent.

Answers

Answer:  A and C are both acute angles

Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her
total pay that week?



Answers

Her total pay that week was $660

Factor 7x + 21 using the GCF

Answers

Answer:

7(x+3) GFC=7

Step-by-step explanation:

Answer:7(x+3)  

Step-by-step explanation: Divide 7 on both sides which gives you 3 as your GCF so you write 7(x+3) .

Hope it  helps :)  

Given: Parallelogram KLMN

Prove: ∠N≅∠L and ∠M≅∠K

Answer:
PLZ ANSWER FAST WILL GIVE 100 POINTS

Answers

Answer:

See attached

Step-by-step explanation:

The answer is in the attached picture below

b)convert 24 kilometres into miles - 1

Answers

Answer:14.9129

Step-by-step explanation:

Answer:

hmmm sorry i dont really know

HELP PLS I'LL GIVE BRAINLIEST!!!!!

Answers

Answer:

wht is you need help on? you just gave us a paper not saying anything else

Step-by-step explanation:

What is a deduction ?

Answers

the action of deducting or subtracting something.
Example: "the dividend will be paid without deduction of tax"

Order the lengths of the sides in the given figure from least to greatest.

AC, AB, BC

BC, AB, AC

AC, BC, AB

AB, AC, BC

Answers

Answer:

AC,BC,AB

Step-by-step explanation:

CORRECT ME IF ME WRONG

PLEASE HELP ASAP!! Will give 20 points


You start with 100 dollars in your bank account. At your favorite coffee shop you purchase 7 lattes that cost 5 dollars each. Write an expression to describe how much money you will have left in your bank account after you buy 7 lattes. Use the letter n for your variable.

Write expression: __________

What is your balance after buying 7 Lattes

Answers

Answer:

7x5=M

*M is for Money*

7x5=35

100-35=

65 is the balance

someone can help me ???

Answers

Answer:

wx=51

Step-by-step explanation:

8a-5=5a+16

3a=21

a=7

8(7)-5=wx

wx=51

Answer:

The length is 56

Step-by-step explanation:

First, since WX and ZY are the same length, set them equal to each other and solve for a:

8a-5 = 5a+16

8a = 5a + 21

3a = 21

a = 7

Now, you can plug in 7 for a in the original equation and get:

8a-5

8(7)-5

56-5

51

51 is your final answer!

These triangles are congruent by the triangle HELP FAST

Answers

Answer:

B. SAS

Step-by-step explanation:

Two sides of one triangle are congruent to two corresponding sides of the other triangle as shown in the figure.

The included angles are vertical angles, so they are congruent.

Answer: SAS

Solve the system of equations.

-5x + 4y = 3
X = 2y - 15

Answers

Answer:

x=9

y=12

Step-by-step explanation:

. Substitute the given value of x into the equation so... -5(2y-15)+4y=3

. y=12

. Substitute the given value of y into the equation x=2y-15 so... x=2 x 12-5

. x=9

.The possible solution of the system is the ordered pair (x,y) so... (x,y)=(9,12)

You have 54 pictures to put in a photograph album. Each page of the album holds 4 pictures. How many pages can you fill?

Answers

Answer:

You can fill 13.5 pages

Step-by-step explanation:

You would do 54 divided by 4 equals 13.5

I WILL GIVE BRAINLIEST!! PLEASE HURRY IM TIMED.

answer choices

A. -5/2
B. -2/5
C. -3/4
D. -4/3

Answers

Answer:   A. -5/2

Step-by-step explanation:

Martin won first place in the 100-meter dash with a time of LaTeX: 14\frac{23}{100}14 23 100 seconds. Samuel came in second place with a time of LaTeX: 15\frac{7}{10}15 7 10 seconds. Select True or False for each statement. A common denominator of the mixed numbers is 100. [ Select ] To find the difference between the runners’ times, Samuel’s time needs to be rewritten. [ Select ] Samuel’s time written with a denominator of 100 is LaTeX: 15\frac{70}{100}15 70 100 [ Select ] Martin beat Samuel by

Answers

Answer: 14 23/100

Step-by-step explanation:

Need help fast did I do correct

Answers

Answer:

You only got one right the right answers are "the graph is decreasing in intervals (1) and (4)" and "The graph shows a constant function in interval (3)"

Step-by-step explanation:

I took the test.

Hope this helpssss

Answer:

Only statements 1 and 5 are true.

Step-by-step explanation:

Statement 1: True

In intervals 1 and 4, the graph slopes down to the right. That shows a decreasing function.

Statement 2: False

Interval 2 goes up to the right. That is an increasing function, not a constant functions.

Statement 3: False

The graph increases in interval 2 but decreases in interval 4.

Statement 4: False

The graph has intervals of increase, decrease, and constant value.

Statement 5: True

Interval 3 is horizontal, so it is constant.

Answer:

Statements 1 and 5 are true. All others are false.


What is the solution of the system of equations? (_,_)

Answers

Answer:

0, 5

Step-by-step explanation:


HELP PLZ HURRY .What is the solution to the system of equations?

a(5,0)
b(0,5)
c(0,-5)
d(-5,0)

Answers

The answer to this question is c

a=3, b=15, c=Pythagorean
theorem

Answers

Answer:

Step-by-step explanation: Given a=3 and b=15,

c = 3√26 = 15.297058540778

∠α = 11.31° = 11°18'36" = 0.1974 rad

∠β = 78.69° = 78°41'24" = 1.3734 rad

area = 22.5

perimeter = 33.297058540778

h =  

15√26

26

= 2.9417420270728

Which net represents this rectangular prism?

Answers

When a solid figure is unfolded along its edges and its faces are laid out in two dimensions in a pattern, the net of a solid figure is formed. Rectangular networks of prisms are constructed of rectangles and squares.
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