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
iVinArrow [24]
3 years ago
8

The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a. Question 16 options:

A) 15.6 B) 8 C) 12 D) 9

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0

Answer:

B)  8

Step-by-step explanation:

a regular hexagon with side length 12 and radius 10.

 the length of the apothem

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b =  √(100 - 64)

b = 8

erica [24]3 years ago
4 0

Answer:

the length of the apothem is 8, option B

Step-by-step explanation:

given:

a regular hexagon with side length 12 and radius 10.

find;

the length of the apothem

referring to the attached image,

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b = \sqrt{100 - 36}

b = \sqrt{64}

b = 8

therefore,

the length of the apothem is 8, option B

You might be interested in
Write an equation for the line described. Give the answer in standard form. through (2,6), m= -5​
LiRa [457]

9514 1404 393

Answer:

  5x +y = 16

Step-by-step explanation:

Given a point and slope, it often works well to start with the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Your point and slope make this ...

  y -6 = -5(x -2)

  y -6 = -5x +10 . . . . . . eliminate parentheses

  5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation

8 0
3 years ago
Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commissi
natta225 [31]

Answer:

The total amount of money Bernadette earned in April was $6200

Step-by-step explanation:

Let us solve the question

∵ Each month Bernadette receives $2000

∵ She also receives a 5% commission for all of her sales

∴ She earns each month = 2000 + 5% of her sales

∵ In April, Bernadette sold $84,000 worth of used cars

→ Multiply it by 5% to find her commission

∴ Her commission = 5% × 84,000

→ Change 5% to decimal by divide it by 100

∵ 5% = 5 ÷ 100 = 0.05

∴ Her commission = 0.05 × 84,000

∴ Her commission = $4200

→ Add her commission to her fixed amount to find her salary in April

∵ She earned in April = 2000 + 4200

∴ She earned in April = 6200

∴ The total amount of money Bernadette earned in April was $6200

3 0
3 years ago
Read 2 more answers
(b) The perimeter of a rectangular painting is 250 cm.
hodyreva [135]
53x2=106
250-106= 144
144/2=72
The length is 72cm
4 0
3 years ago
Calculate the length of the unknown side of this right angled triangle
azamat

Answer:

12.04

Step-by-step explanation:

Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,

a^2 + b^2 = c^2

We already have a and b which are 8 and 9 so we plug them in.

(8)^2 + (9)^2 = c^2

64 + 81 = c^2

145 = c^2

c = 12.04 rounded to the nearest hundredth.

<em>Thus,</em>

<em>the unknown side is about 12.04.</em>

<em />

<em>Hope this helps :)</em>

8 0
3 years ago
-(y-7)=14 solve the following equation
enyata [817]

First, distribute the negative sign and get -y + 7 = 14

then subtract 7 from both sides and get -y = 7

Divide both sides by -1 and get y = -7

Hope this helps :)

3 0
3 years ago
Other questions:
  • There is a bag filled with 4 blue and 5 red marbles.
    11·1 answer
  • Six less than three times a number. write an algebraic expression to represent the given phrase
    11·1 answer
  • A salesperson earns $300.50 per week plus 7% of her weekly sales. Which of the following describes the sales necessary for the s
    5·1 answer
  • Turn 0.96 into a fraction
    11·2 answers
  • A store owner claims that the proportion of shoppers who use coupons is less than 25%. To test this claim, a random sample of sh
    14·1 answer
  • A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be n
    5·2 answers
  • 12 divided by 1/2 is
    8·2 answers
  • All the angles in a equilateral triangle are equal to .................
    12·1 answer
  • Largest three-digit multiple of 2
    5·2 answers
  • Please, help and please answer my questions Lately, no-one's answering my questions-
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!