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
stich3 [128]
2 years ago
11

an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter?
Mathematics
1 answer:
nalin [4]2 years ago
5 0

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

You might be interested in
Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
Read 2 more answers
Algebra 2 will give points and brainly
aivan3 [116]

Answer:

Step-by-step explanation:

In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.

7 0
3 years ago
I need help ASAP please
Solnce55 [7]

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.

6 0
3 years ago
Find the missing term of the following sequence. . . . –45, __, –12, . . .
julsineya [31]
<span>(-45 + (-12) / 2 = -28.5 
</span>So the answer is -28.5
3 0
3 years ago
Write and Solve Equations-Word Problems help
Ber [7]

Answer:

blue = 110

red = 83

Step-by-step explanation:

110 + 83 = 193

and the blue jar has 27 more coins than the red jar , so this is correct!

5 0
3 years ago
Other questions:
  • Find the total surface area of a clyinder.
    14·2 answers
  • A certain rectangular has a height of 4 length of 3 and width of 7 give the dimensions of second prism that has the same surface
    13·1 answer
  • One pound is equal to 16 ounces. The function O(p) takes a weight in pounds (as input) and returns a weight in ounces (as output
    9·1 answer
  • Which equation has the solutions x = (5 +- 2 \sqrt(7))/(3)?
    12·2 answers
  • John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard.
    6·1 answer
  • A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
    10·2 answers
  • DIG DEEPER! The figure shows the angles used to make a double bank shot in an air hockey game. a. Find the value of x. b. How do
    14·1 answer
  • Help me please . What is the answer
    12·1 answer
  • Can someone help (Geometry)
    11·1 answer
  • Find the slope of the line that passes through the two given points.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!