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
horsena [70]
3 years ago
13

14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c

ube to the surface of the sphere?
Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.

Diameter = 10

We will then find the diagonal of the cube.

Diagonal = √10^2 + 10^2 + 10^2

= √300

= 10√3

Let X be the distance between the vertex of the cube and the surface of the sphere

X = (diagonal - diameter) /2

X = (10√3 - 10)/2

X = (10(√3 - 1))/2

X = 5(√3 - 1)

You might be interested in
The scoring of modern IQ tests is such that IQs have a Normal distribution with mean
Readme [11.4K]

Answer:

114

Step-by-step explanation:

z = (x − μ) / σ

0.93 = (x − 100) / 15

x ≈ 114

4 0
3 years ago
Which shows how to best estimate the product of 0.4 x 0.93?
monitta

Answer:

the answer would be 0.372

4 0
3 years ago
Read 2 more answers
Been stuck on these last 2 questions. can anybody help? thanks in advance!
Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0
1 year ago
A bus traveled 150 mlles in 3 hours. At what average rate did the bus travel?
dezoksy [38]

50 Miles at an average rate

8 0
3 years ago
Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)
insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero.  I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again


5 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has sides of lengths 8,15 and 17. is it a right triangle? explain
    13·1 answer
  • System of equations word problems, i have a test on them tomorrow can anyone help ?
    11·1 answer
  • Find the solution to the system of equations. Select all that apply. Y=x^2-2x-3. Y=x-3
    9·1 answer
  • Bett you guys can help meif you do tho you don’t have corona ✌
    5·1 answer
  • How to write 20,484,163 in word form
    10·2 answers
  • Six times the quotient of four and a number<br> PLEASE HELP ME!!!!!!!!
    15·2 answers
  • Which inequality is graphed?<br> 2 x<br> 2 Less-than-or-equal-to x<br> 2 Greater-than-or-equal-to x
    8·2 answers
  • A TV is in the shape of a rectangle. The width of the TV is 57 inches and the height is 32 inches. What is the length of the dia
    7·1 answer
  • Plz i need help ill give brainliest
    14·1 answer
  • Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!