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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

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145 cause 40+85+90 equals 215 n then subtract that from 360
6 0
3 years ago
Can you pls help with these I really need help​
alukav5142 [94]

Answer:

for question one - x = 12

Step-by-step explanation:

a triangle is always 180, in other words you will add all the corners equal to 180

ex (for first question) - 7x -2 + 4x + 5x - 10 = 180

you add like terms, the x with x and single numbers with numbers, which results in 16x - 12 = 180. then you do the original operation "what you do to one sign of the equal side you do to the other"

6 0
3 years ago
With a family bowling pass, families can bowl for $4 per game . The pass cost $10 per year. Use equation , a table and a graph t
Klio2033 [76]

Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

b=\$10

substitute

a=4g+10

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

For g=1 ----> a=4(1)+10=\$14

For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

6 0
3 years ago
What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
Ne4ueva [31]

Answer:

  • A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

<u>Convert the given equation into slope-intercept form:</u>

  • 3(y - 2) + 6(x + 1) - 2 = 0
  • 3y - 6 + 6x + 6 - 2 = 0
  • 3y + 6x - 2 = 0
  • 3y = - 6x + 2
  • y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

4 0
2 years ago
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Help, will give brainlist!!
Licemer1 [7]

Answer:

<u>Fred.</u>

Started hang gliding at a height of 700 ft and descends 15 feet every seconds

<u>Gene</u>

Started hang gliding at a height of 575 ft and descends 10 feet every seconds

Step-by-step explanation:

The function that models Fred's hang gliding is f(x)=-15x+700

The initial value is 700 feet. This Fred was 700 feet above see level before he starts descending.

The rate of descent is -15 ft/s. This means Fred descends 15 feet in one second.

From the table the initial height is 575 ft. This means Gene was 575 feet above sea-level at the beginning of the hang gliding.

The rate of descent is \frac{565-575}{1-0} =-10 ft/s.

This means that in every seconds, Gene descends 10 feet.

4 0
4 years ago
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