1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
QveST [7]
3 years ago
12

Geometry, plz help!

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

17. surface area ≈ 441.84

04π m² or  1387.38  m²

18. Ratio of volumes = 8/27

19. volume of the smaller solid = 339 yards³

Step-by-step explanation:

17 .

To find the surface area of the sphere we have to find the radius of the sphere first.

volume of a sphere = 4/3πr³

volume = 1548π m³

r = ?

volume of a sphere = 4/3πr³

1548π = 4/3 × π × r³

multiply both sides by 3/4

1548π × 3/4 = πr³

4644π/4 = πr³

1161π = πr³

divide both sides by π

r³ = 1161

cube root both sides

r = ∛1161

r = 10.5101942

r ≈ 10. 51

surface area of a sphere = 4πr²

surface area = 4 × π × 10.51²

surface area = 4 × 110.4601  × π

surface area = 441.8404π m²  

surface area = 441.8404 × 3.14 = 1387.378856  m² ≈ 1387.38 m²

18

If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .

19

If two solids are similar then the ratio of their surface area is the squared of the scale factor.

121/361 = (x/y)²

square root both sides

x/y = 11/19

If two solids are similar then the ratio of their volume is the cube of the scale factor.

(11/19)³ = a/1747

1331/6859  = a/1747

cross multiply

6859a = 2325257

divide both sides by 6859

a = 2325257/6859

a = 339.008164455

a ≈ 339 yards³

volume of the smaller solid ≈ 339 yards³

You might be interested in
Convert the angle 0=228 degrees to radians
miv72 [106K]

Answer:

  \dfrac{19}{15}\,\text{radians}=1.2\overline{6}\,\text{radians}

Step-by-step explanation:

θ = 228° = (228°)×(π/180° radians/degree) = 228/180 radians

  = 19/15 radians

  ≈ 1.266...(repeating) radians

8 0
3 years ago
Using the distributive property to factorize the equation 3x^2+24x=0, you get ​
Natalka [10]

Answer:

Step-by-step explanation:

3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8

6 0
3 years ago
Read 2 more answers
Factor by using the perfect-square trinomial formula. <br><br> 100x^2+20x+1
a_sh-v [17]
To factor first multily 100 and 1 and get 100

then find what 2 numbers multiply to get 100 and add to get 20

the numbers are 10 and 10

so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
8 0
3 years ago
Read 2 more answers
Given that R=9x+8y find x when y=8 and R=4
Ilya [14]

Answer:

Step-by-step explanation:

R = 9x + 8y

4 = 9x + 8*8

4 = 9x + 64

Subtract 64 from both sides

4 - 64 = 9x + 64 - 64

-60 = 9x

Divide both sides by 9

-60/9 = 9x/9

-20/3 = x

x = -6 2/3

8 0
3 years ago
Read 2 more answers
Can someone please help me!!! I need help, no links !!!
Sholpan [36]
Give me a few and I will
4 0
3 years ago
Other questions:
  • Back of last questions answer as many as possible
    6·1 answer
  • What is x squared minus 4x?
    13·1 answer
  • Explain how to model 32% on a 10-by-10 grid. How does the model represent ratio of 32 to 100.
    6·1 answer
  • Look at the following numbers: −5, −6, 0, 6 Which pair of numbers has a sum of zero? −6, 0 −5, 6 6, −6 −5, 0
    15·2 answers
  • What is the solution to the equation 88 = 8(v + 3)?
    14·1 answer
  • Help please, I will give brain list
    14·1 answer
  • The table shows Mitch’s record for the last thirty par-3 holes he has played.
    7·1 answer
  • The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
    13·1 answer
  • I need some help, yes this is a repost soz.
    6·1 answer
  • A utility company charges $0.12 per kilowatt-hour for energy a customer uses. They give a credit of $0.025 for every kilowatt-ho
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!