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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

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then, the no. of childern = total people - total adults 
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Now,
According to the quesiton,
2 (30 - x) + 5x = 87
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3 0
3 years ago
A youth soccer field has an perimeter of 120 meters. The length of the field is
baherus [9]

Answer:

25 meters

Step-by-step explanation:

Since it is a rectangle, the formula of the perimeter will be 2w+2l.

35(2)+2(x)=120.

2x=50

x=25

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3 years ago
Someone please help me i literally cant do geometry
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Just fail it.

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4 0
3 years ago
how many solutions does this equation have 15x-5 3=5x+4 a no solutions b. exactly one solution c. exactly two solution d. infini
velikii [3]

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Step-by-step explanation:

7 0
3 years ago
In circle O, chord AOB is drawn. Point C is located on the exterior of the circle with tangent CB and secant CDA drawn.Itisknown
ser-zykov [4K]

Answer:

  (a) 4

  (b) 2√3

  (c) 60°

  (d) 120°

Step-by-step explanation:

(a) The relationship between tangents and secants is ...

  CB^2 = CD·CA

Filling in the given values, we find ...

  CB^2 = 2·(2+6) = 16

  CB = √16 = 4

The length of BC is 4 units.

__

(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.

  CA^2 = CB^2 +AB^2

  8^2 = 16 +AB^2

  AB = √48 = 4√3

The radius is half the length of AB, so the radius is 2√3.

__

(c) The measure of angle C can be determined from the cosine relation:

  cos(C) = CB/CA = 4/8 = 1/2

  C = arccos(1/2) = 60°

The measure of angle C is 60°.

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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.

The measure of arc AD is 120°.

3 0
3 years ago
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