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Dimas [21]
3 years ago
9

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

6-inch apothem

A = sq. in

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
7 0
A=√3/4 a²

a is the apothem and A is area:

A=√3/4(6)²

A= 9√3
grigory [225]3 years ago
7 0

Answer: 12√3 square inches

Step-by-step explanation:

By the property of equilateral triangle,

Apothem = √3/2 × Side

⇒ Side = 2/√3 × Apothem

Here, apothem = 6 inches

Thus, the side of the given equilateral triangle =  \frac{2}{\sqrt{3}}\times 6

= \frac{12}{\sqrt{3}}

= 4\sqrt{3}  unit

Since, For an equilateral triangle,

\text{ Area} = \frac{\sqrt{3}}{4}\times (\text{ side})^2

⇒ The area of the given equilateral triangle = \frac{\sqrt{3}}{4}\times (4\sqrt{3})^2

=\frac{\sqrt{3}}{4}\times 48

=12\sqrt{3}  square inches

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Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.
Ber [7]
Total length of all ribbons = 12 * 3 = 36 inch

Then, number of ribbons = 36/4 = 9

In short, Your Answer would be: 9 sections

Hope this helps!
6 0
3 years ago
Between which two numbers is Negative 1.5 located on a number line?
Ede4ka [16]
Between -2&-1 is the answer
5 0
3 years ago
Read 2 more answers
Need an answer fast!!!
trapecia [35]

Answer:

The length of the line segment is of 5.9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between these two points is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9

The length of the line segment is of 5.9 units.

4 0
3 years ago
Please help me with number 4!
Mariulka [41]

Answer:

x = 20√2 and y = 20√3.

or x = 28.28 and y = 34.64 to the nearest hundredths.

Step-by-step explanation:

Take the 2 'inside' triangles. They are similar.

So we have  x / (60-40) = 40 / x

x/ 20 = 40 /x

x^2 = 800

x = √800

x = 20√2

y = √(800 + 20^2)

= √(1200)

= 20√3.

8 0
3 years ago
Find the value of X.
Kobotan [32]

Answer:

x = 18.46

Step-by-step explanation:

Find the last angle of the triangle.

180-90-72 = 18

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(b) = adj/hyp

CosB=a/c rewrite to get

6/CosB (72)  = 19.41

Find the last side of the triangle using the Pythagorean theorem.

b=square root c^2 - a^2

b=square root 376.99 - 36

b= 18.46

3 0
3 years ago
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