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
kati45 [8]
3 years ago
6

) a rectangular box has length 12 inches, width 20 inches, and a height of 7 inches. find the angle between the diagonal of the

box and the diagonal of its base. the angle should be measured in radians.
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

We assume the base is 12 in × 20 in, so its diagonal has length

... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches

Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:

... tan(α) = (7 in)/(4√34 in) ≈ 0.300123

The angle will be the arctangent of this value,

... α = arctan(7/√544) ≈ 0.291569 radians

You might be interested in
Maria is installing gutters on her rectangular shed that measures 10 ft by 9 ft she has 23 ft of gutter already and need to purc
Paha777 [63]

Answer:

Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

We need to calculate the perimeter of the rectangular shed to know how much  5 feet gutter is needed.

The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft

p = 2(10 + 9) = 2(19) = 38 ft

Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.

So 23 + 5x = 38

collecting like terms, we have

5x = 38 - 23

5x = 15

dividing through by 5 we have

5x/5 = 15/5

x = 15/5

x = 3

So, Maria needs 3 lengths of gutter of finish the shed.

8 0
3 years ago
Write your answer as a whole number or a decimal
Lynna [10]

Answer:

minutes/mile

minutes=7.5-2.5

=55

55/10

5.5 minutes per mile

5 0
2 years ago
How would I solve this?
lutik1710 [3]

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

  • Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

  • The sum of the angles subtended by all the sided at the center will be 360 degrees.
  • As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

\frac{360}{60} = 6

  • As the polygon rotates every minute and it is rotated for 12 minutes,

12*6 = 72

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

  • So, after 12 minutes it will be rotated by 72 degrees.
5 0
3 years ago
Which answer BEST describes the solution for x if – 3 < x + 4 ≤ 7?
Mama L [17]
C is the answer look at the way I. form is
8 0
3 years ago
Read 2 more answers
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma
deff fn [24]

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

3 0
3 years ago
Other questions:
  • Is -1/17 a repeating decimal
    12·1 answer
  • Evaluate the following expression when a=3,b=9,c=6,5ab
    11·1 answer
  • If r = x, y, z and r0 = x0, y0, z0 , describe the set of all points (x, y, z) such that |r − r0| = 5.
    10·2 answers
  • How many pairs of parallel line segments are shown? <br><br> 1. 8<br> 2. 24<br> 3. 4<br> 4. 18
    6·2 answers
  • I need the answers to the 2 blanks
    6·1 answer
  • 60 is 30% of what number?
    8·2 answers
  • Please help me with this :)
    5·1 answer
  • 23.5 + - (-62.74) = ​
    5·2 answers
  • What is the slope???​
    12·2 answers
  • One light-year is equal to 9,460,600,000,000 kilometers. What is this distance represented in scientific notation​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!