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1 year ago

Geometry help needed. more information in the picture. please help. would be greatly appreciated.

Mathematics

1 answer:

ratelena [41]1 year ago

4 0

Answer:

Step-by-step explanation:

180-120=60so the answer is a 60

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t

Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

$A_1 = \sqrt{\frac{3s^2}{4}}$

Where:

$s = 6$ --- the length of each toothpick

The area of the rectangle is then represented as:

$A_2 =3s \times s$

$A_2 =3s^2$

So, the total area of the figure is:

$Total = 6A_1 + A_2$

This gives

$Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2$

Substitute 6 for s

$Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2$

$Total =6 \times \sqrt{27} + 108$

$Total =6 \times 5.20+ 108$

$Total =139.20$

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

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2 years ago

Choose the equation that represents the line passing through the point (−2, −3) with a slope of −6.

Vladimir79 [104]

Y = -6x - 15
We’re already at -3 (y) and the slope is negative so the y intercept is < -3. X is -2 and we need to find the y when x is 0. -2 is 2 away from 0 and 6 (the slope) times 2 is 12. -3 - 12 = - 15

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2 years ago

A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1446 in ticket sales. Th

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X = adults
Y = child

X+y=168
X=168-y

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10(168-y) + 7y = 1446
1680 - 10y + 7y = 1446
-3 y = -234
Y = 78

X = 168-78
X = 90

$10*90 + $7*78 =
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2 years ago

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

kolbaska11 [484]

4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
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x > 72/4.5
x > 16 <==

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3 years ago

Read 2 more answers

Also explain how you got your answer please

serg [7]

Answer:

Step-by-step explanation:

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3 years ago