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
Firdavs [7]
2 years ago
7

The area of the regular hexagon is 10.4 in.2. a regular hexagon has side lengths of 2 inches and an area of 10.4 inches squared.

an apothem is shown. what is the measure of the apothem, rounded to the nearest tenth of an inch? 1.3 in. 1.7 in. 2.0 in. 3.4 in.
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
5 0

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

You might be interested in
ABC Bookstore rents a storage space that is 60 ft x 40 ft and 12 ft high. It is
Citrus2011 [14]

Answer:

The answer should be 9375 (B)

Hope this helped!!!

4 0
3 years ago
Read 2 more answers
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
ch4aika [34]
So slope intercept form is y=mx+b
m=slope b=y intercept
convert current equation to slpe intercept
y-4=x-8
add 4 to both sides
y=x-4
tada
6 0
3 years ago
Read 2 more answers
suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the
Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

y = 47.6

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0
3 years ago
Read 2 more answers
What is the domain of y=(x+5)(x-2)(x-7)
gavmur [86]
The correct answer is 16
6 0
3 years ago
I need help this question?
Masja [62]

Answer:

Correct answer:  F. graph F or x ∈  |-5 ; 5| (including endpoints)

Step-by-step explanation:

Let us first define the absolute value:

| x |  = 1. { x with condition x ≥ 0 }

    or 2. { - x with condition x < 0 }

This is a linear inequality

1.  x ≤ 5  ∧  x ≥ 0   ⇒   0 ≤ x ≤ 5  or interval x ∈  |0 ; 5| (including endpoints)

2. - x ≤ 5  when we multiply both sides of the equation by -1 we get:

x ≥ -5 ∧ x < 0  ⇒  -5  ≤ x < 0 or interval x ∈  |-5 ; 0) (including -5)

The solution to this linear inequality is the union of these two intervals:

x ∈  |-5 ; 0) ∪ |0 ; 5|  ⇒ x ∈ |-5 ; 5| (including endpoints)

x ∈ |-5 ; 5| (including endpoints)

God is with you!!!

7 0
3 years ago
Other questions:
  • Construct a dichotmous key to differentiate among particles in a solid,liquid and a gas.​
    12·2 answers
  • You want to buy some beans. An 8-ounce package costs $2.64. A 12-ounce package costs $3.84. A 26-ounce package costs $8.06. Whic
    9·2 answers
  • $4500 principal, 9% rate, 3.5 years. find the simple interest
    12·1 answer
  • Find the value(s) of n if n^4=625.
    5·2 answers
  • HELP 40 POINTS
    11·2 answers
  • PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
    6·1 answer
  • Write the equation of the line passing through the points (6,2) and (-2,-2)
    8·1 answer
  • One Positive number is five times another number the difference between the two numbers is 172 to find the numbers
    8·1 answer
  • Please help me with this math :)
    15·2 answers
  • Which two of the following are assumptions made when using a two sample test of means with equal standard deviations?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!