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

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answers

Only A is a linear function because B is not a straight line.
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3

5=5/3*3+b

b=0

Y=5/3x

Help pls! 37 points.

Answers

Answer:

7 squares

Step-by-step explanation:

Key skills: Counting, Averages

1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.

2) Since there are already 53 squares present, you need 60-53 = 7 squares more.

Hope you understood and have a nice day!!

answer:

should be 7 squares.

What is 9.25% tax of $27.26?

Answers

Answer:

$29.78

Step-by-step explanation:

1. make the % into a decimal

9.25% = 0.0925

2. multiply amount by the decimal to get the tax amount

$27.26 × 0.095 = $2.52

3. take the original amount and add the tax to get your final total

$26.27 + $2.52 = $29.78

an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct

Answers

Answer:

it lose 90 percent in 3 hours so peter is incorrect

Step-by-step explanation:

plz help me!?!?

and thank u

Answers

Answer:

-4.8+2.5-7.8

= -10.1

Step-by-step explanation:

V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.

Answers

Answer:

(-7,9)

Step-by-step explanation:

X^9/7 convert from exponent form to radical form

Answers

Answer:

[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]

Step-by-step explanation:

You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.

Note also that the order does not matter.  You could also express it as

[tex]\sqrt[7]{x}^9[/tex]

The reason this works is that you're effectively breaking the exponent into fractions.  The first answer is the equivalent of:

[tex](x^9)^{1/7}[/tex]

and the second would be:

[tex](x^{1/7})^9[/tex]

In both cases, the exponents would be multiplied, giving the same result.

Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =

Answers

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Solve for x x/12+6=8

x=​

Answers

Answer:

X=24

Step-by-step explanation:

X/12 + 6 = 8

we can multiply the equation to 12 to make it simple. We get:

X + 72 = 96

So X = 96-72=24

Factor 49z + 28. Write your answer as a product with a whole number greater than 1.​

Answers

Answer:

87z

Step-by-step explanation:

If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.

Answers

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

Find the unknown angle measure by solving for the given variable.

Answers

Answer:

10 1/2

Step-by-step explanation:

Solve x4 - 11x2 + 18 = 0.

Answers

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0  

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9  

taking square roots:

√x^2 =√2 ,√x^2=√9  

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

Solve and show all steps


PLSSS ASAP I NEED HELP TYSM!!!!

Answers

Answer:

n < 6

Step-by-step explanation:

I multiplied the entire equation by 3 to remove the fraction. This got me:

12 + n < 18

I then subtracted 12 (inverse operations) to get:

n < 6

I hope this helps!

Answer:

n=1

Step-by-step explanation:   n/3=3+4 is less than 6

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11

Algebraic Expression Evaluate the expression 9x + 2 when × = 3

HELP ME​

Answers

Answer:

The value of 9x+2 when x=3 is 29

Step-by-step explanation:

Algebraic Expressions

We are given the expression

9x + 2

And it's required to evaluate the expression when the value of x is 3.

It can be done by substituting x by 3:

9*3 + 2

=27 + 2

=29

The value of 9x+2 when x=3 is 29

A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.

Answers

Answer:

4.3 feets

Step-by-step explanation:

Given that:

Angle of elevation = 73°

Horizontal distance from foot of ladder to bottom of wall = x feets

Height of ladder = 14 feets

The horizontal distance, x :

Using trigonometry :

Tan θ = opposite / Adjacent

Tan θ = 14 / x

Tan 73 = 14 / x

3.2708526 * x = 14

x = 14 / 3.2708526

x = 4.2802295

x = 4.3 feets

−1/5(x−4)=−2 Please help me fast

Answers

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

Please answer soon ty!

Answers

Answer:

A

Step-by-step explanation:

4.22

what is the difference between online school and in-person
pls just write some down for a project thanks :)

Answers

Answer:

The difference between online school and in person school is that online is online and inperson is in person.

Step-by-step explanation:

Answer:

Online-School is worse and In-person is better bc when your at home your not face to face with the teacher and you can get bad grades and when your at school you can get better grade and online- school is hard bc you have lots of homework and it complicated but have a great day

Step-by-step explanation:

Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9

Answers

Answer:

its x=1/3 :)))

Plz help
Simplify 6(3x-5)+5(2x-1)

Answers

28x - 35 is the simplified from

Combine the two expressions found in parts C and D to relate a, c, A, and C. Rewrite the expression as an equality between two ratios. Show your work.

Answers

Answer:

BD = c sin A and BD = a sin C.

Therefore, a sin C = c sin A.  

Divide both sides by sin A × sin C to get A/sin A = C/sin C

Step-by-step explanation:

The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.

Answers

Answer:

I don’t know but I have the same question with different numbers

Step-by-step explanation:

How to solve:

5 1/2 + x/6 ≤ 3 1/3

Answers

Answer:

x≤-91

Step-by-step explanation:

Factorise:
4x^2+4xy+y^2-2^2

Answers

Answer:

Step-by-step explanation:

4x^2 + 4xy + y^2 = (2x + y)^2

and if we assume that 2x + y = A and because 4 = 2^2

A^2 - 2^2 = (A-2)*(A+2) .

A band expects to put 12 songs on their next CD. The band writes and records 25​% more songs than they expect to put on the CD. During the editing​ process, 80​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

Answer:

3 songs

Step-by-step explanation:

25% more songs: 12 x 1.25 = 15

80% removed: 15 x 0.2 = 3

please help on the last question im gonna do 40 points

Answers

i believe number 5 is c and number 6 is f

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).

Answers

Answer:

2x^{2} + \frac{3}{2} x - 5

Step-by-step explanation:

(f+g)(x) = f(x)+g(x)

(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]

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