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
SashulF [63]
2 years ago
7

An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nea

rest tenth,
what is the area of the screw head?

Mathematics
1 answer:
Lunna [17]2 years ago
7 0

Given that the screw is a regular hexagon with side length 6 mm, the area of the screw is 93.5 mm^2

<h3>How can the area of the screw be found?</h3>

The area of an hexagon can be found using the following equation;

A = \mathbf{ \frac{3 \cdot \sqrt{3} }{2}  \times  {a}^{2}}

Where <em>a </em>= The side length

However the side lengths are not equal, and the figure is a composite figure with two triangles and one rectangle;

Base length of the triangles = 12

Height of the triangles = 3

Area of each triangle = 0.5 × 12 × 3 = 18

Width of the rectangle = 12

Height of the rectangle = 6

Area of the rectangle = 12 × 6 = 72

Area of the screw = 18 + 18 + 72 = 108

However taking the screw as a regular hexagon, with side length <em>a </em>= 6, we have;

A =  \frac{3 \cdot \sqrt{3} }{2}  \times  {6 \: mm}^{2} = 93.5 \: mm^2

  • The correct option is <u>D. 93.5 mm^2</u>

Learn more about finding the area of an hexagon here:

brainly.com/question/2919364

#SPJ1

You might be interested in
Work out 3/4 of 7kg please help
enot [183]
3/4 of 7 kg = 21/4 kg = 5 and 1/4kg = 5.25kg
6 0
3 years ago
Read 2 more answers
Find the complement of the angle shown
Archy [21]
Supplementary = 180°
Complementary = 90°

180° - 52° = 128°
90° - 52° = 38°

Hope this Helps!!
6 0
3 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

7 0
3 years ago
Read 2 more answers
What is compound interest What is the difference between compounded monthly and<br> continuously
ikadub [295]

Answer:

compostion

Step-by-step explanation:

comPOSTION

6 0
3 years ago
Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per squ
RoseWind [281]

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

4 0
3 years ago
Other questions:
  • Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
    7·1 answer
  • Solve for x: 7x − 3 = 11.
    8·1 answer
  • Find tan0, cos0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal approximations. BRANLIEST!!​
    10·1 answer
  • What is 5/8 multiplied by 5 as a mixed number??
    7·2 answers
  • Helpppp ASAP<br><br><br><br> PLEASEDEEEE
    9·1 answer
  • 2400000 in standard form?
    14·2 answers
  • 7.) There are about 9,987,000 people that live in Michigan. How do you write
    14·1 answer
  • Find the equation of the line (-2,5) and (4,5)​
    10·2 answers
  • Pls help me answer this it's due today​
    11·2 answers
  • C Panuto: Basahin ang maikling kwento. Pagkatapos sagutin ang mga katanungang naibigay. 1. Ano ang paksa ng kwento? A. Pagtulong
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!