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
Mariana [72]
3 years ago
11

Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals

have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

You might be interested in
Can some help and explain this please? ​
kifflom [539]

Answer:

a. 10^{3}    10^2

b. 10     10^2

Step-by-step explanation:

10^{2} = 100 ->  so 100*0.005= 5

if you still dont understand  search up "scientific notation"

5 0
2 years ago
Read 2 more answers
The diagram represents the factorization of x2 – 9x + 18. It is partially completed.
blagie [28]

Answer:

-3x and -6x

Step-by-step explanation:

Take a look at the missing spaces. Multiply -6 with x which equals -6x

Multiply -3 with x which equals -3x

Therefore, the answer is B, -3x and -6x

3 0
3 years ago
What is the diameter of a 2m circle?
Varvara68 [4.7K]

Answer:

If 2m is the radius, the diameter is 4 meters.

2*2=4

6 0
3 years ago
Read 2 more answers
a sand timer has 5 5/16 ounces of sand. of sand falls at a rate of 2.5 ounces per minute, how many minutes will the timer last?
Hitman42 [59]

Answer:

about 2 minutes

Step-by-step explanation:

first lets make everything in the same term

so 2.5 =2 1/2

then divide 5 5/16 by 2 1/2

or 85/16 divided by 5/2

you get 2 1/8

so you have about 2 minutes before the timer runs out

5 0
3 years ago
Answer correctly plz
Ne4ueva [31]

Answer:

1/3

Step-by-step explanation:

Use the Up/to left or right rule to help you

Find a start point (or the one the gave you (3,2)) and then follow the line to the next point that crosses exactly over where to points cross (where poth x and y would be whole numbers) count how many times the point moved up, then how many time it moved left. Put the first over the second in fraction form and there is your slope.

8 0
2 years ago
Read 2 more answers
Other questions:
  • I am between 24 and 34.you say my name when you count by twos from zero . you say my name when you count by fives from zero. wha
    12·1 answer
  • Kevin designs a sprinkler system for his yard. One rotation of the the sprinkler waters a circle with an area of 255pie square f
    14·1 answer
  • Find the exact values of the following,giving your answers as fractions
    15·1 answer
  • ASAP easy for anyone part 4
    14·1 answer
  • Need a quick answer please
    5·1 answer
  • Angel has a bag that contains orange chews, cherry chews, and lime chews. He performs an experiment. Angel randomly removes a ch
    14·1 answer
  • NEED ANSWER ASAP WILL GIVE BRAINLIEST AND 50 POINTS
    7·1 answer
  • An aquarium holds 11.5 cubic feet of water, and is 2.2 feet long and 1.6 feet wide. What is its depth??
    6·1 answer
  • PLEASE ANSWER ASAP WILL MARK BRAINLIEST
    13·1 answer
  • Write (7 + 3) + (6 - ) as a complex number in standard form.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!