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
tankabanditka [31]
3 years ago
7

What is the length of the apothem of a regular hexagon with 10-cm sides?

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

You might be interested in
Assessing the regression model on data other than the sample data that was used to generate the model is known as _____. Group o
kozerog [31]

Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

<h3>How to complete the blank?</h3>

From the question, we have the following highlights:

  • Sample data, not used
  • The model is a regression model

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

Read more about regression models at:

brainly.com/question/25987747

#SPJ1

4 0
1 year ago
What is the value of x in the equation 6(x − 2) − 4x = 16?   A x=14 x=14 B x=4 x=4 C x=2 x=2 D x=12 x=12
prohojiy [21]

Answer:

A)    x=14

Step-by-step explanation:

hello :

6(x − 2) − 4x = 16

6x-12 -4x =16

2x-12=16

add 12 : 2x=16+12

2x= 28

x=28/2=14

5 0
3 years ago
2.State whether ABC and LAED are congruent. Justify your answer.
sladkih [1.3K]

Answer

C. Yes, by SSS only

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mrs marks has 9 1/4 ounces of fertilizer for her plants. She plans on using 3/4 ounce of fertilizer for each plant. How many pla
fenix001 [56]
"<span>9 1/4 ounces of fertilizer, 3/4 ounce of fertilizer for each plant."

Divide the total amt. of fert. by the amt. that goes to each plant:

9 1/4 oz
-----------------------
(3/4) oz per plant

Convert 9 1/4 to an improper fraction:  9 1/4 = 37/4.

Now divide 37/4 by 3/4, or divide 37 by 3.  Result:  12 1/3 plants.

Ms. Marks can fertilize 12 plants and have 1/3 oz of fertilizer left over.</span>
5 0
3 years ago
Solve the compound inequality 6b &lt; 24 or 4b + 12 &gt; 4
liraira [26]

Answer:

    6b < 24

⇔ b   < 24/6

⇔ b   < 4

    4b + 12 > 4

⇔ 4b        > 4 - 12

⇔ 4b        > -8

⇔ b          > -8/4

⇔ b          > -2

4 0
3 years ago
Read 2 more answers
Other questions:
  • Someone can help me in this please ASAP and explain to me how? <br> THANK YOU
    6·1 answer
  • A six-sided number cube labeled 1 through 6 is rolled 500 times. An odd number is rolled 325 times. Compare the experimental pro
    15·2 answers
  • Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white paint to make pink. Gina mixed 4 pints of red pai
    15·1 answer
  • Anthony has two cube-shaped pots with an interior edge length of 8 inches and two cube-shaped pots with an interior edge length
    7·1 answer
  • wo lengths of a triangle are shown. wo lengths of a triangle are shown. Triangle J K L. Side J K is 5 inches and side J L is 10
    12·2 answers
  • The total of 42, 75, 189, 301, and 728 is<br> A. 1,533.<br> B. 1,297.<br> C. 1,335.<br> D. 2,301.
    13·2 answers
  • Find the total capacity of 25 containers of cranberry juice if each bottle holds 5 quarts 1 pint 6 oz
    5·1 answer
  • A formula for finding the area of a rectangle is A=l⋅w. If you know the area (A) and length (l) of a rectangle, which formula ca
    10·2 answers
  • The domain, range, and intercepts of a function are shown. Which set of information could be characteristics of the function's i
    13·2 answers
  • What is the equation of the line shown below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!