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
spayn [35]
3 years ago
8

In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w

hat is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3
Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

You might be interested in
The diagram shows the entrance to a tunnel.
gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

5 0
2 years ago
Simplify the radical expression. ⁴√81x²⁰y²⁴<br><br>I think it's either A or B​
tangare [24]

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6

7 0
3 years ago
HELP!!!!PLS!!
chubhunter [2.5K]

Answer:

12 units

Step-by-step explanation:

(-7,-6)

if you reflect it over the x-axis then the second number would be changing

-6 the opposite is 6

(-7, 6)

from -6 to 6 is 12 jumps

12 units is the distance from the original point

4 0
3 years ago
What is -3/11 divided by -5/6
Masja [62]

Answer:

0.00909090909

Step-by-step explanation:

8 0
3 years ago
ASAP!!!! Please help me. This is due in 10 minutes. Find the volume
Karo-lina-s [1.5K]

Answer:

The answer is 960.

8 x 12 x 20 is 1920. 1920 divided by 2 is 960.

6 0
3 years ago
Read 2 more answers
Other questions:
  • (8x+4) - (3x-12)<br> A. -5x - 16<br> B. 11x - 8<br> C. 5x + 16<br> D. 5x - 16
    5·2 answers
  • What is the answer to v-11=8
    10·2 answers
  • On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. what are the coordinates of the refl
    10·1 answer
  • the drill must go 3/8 of the way through the sheet the sheet is 2.5 cm thick how deep should the drill be set
    9·1 answer
  • The difference 2/5(d−10)−2/3(d+6) is
    9·2 answers
  • Simplify 2(4x-3)-3(5-x)
    8·2 answers
  • Can I have help with this problem?
    11·1 answer
  • Maria has a businesses designing t shirts. Her cost for materials, in thousands of dollars
    11·1 answer
  • a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?
    11·1 answer
  • Solve for x<br>4x+5x-2x=42​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!