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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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Log5(5)=x<br> solve for x
Ilia_Sergeevich [38]

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

log_{b} b = 1

That is the logarithm of a number to the same base is 1

Given

log_{5} 5 = x , hence x = 1

6 0
3 years ago
Read 2 more answers
Brainliest and points for best answer.
jeka57 [31]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Kennedy’s car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406miles
makvit [3.9K]

In the US, the gallon is a unit of measurement for liquids like milk, fuel, and water. If the petrol in your automobile is nearly empty, you should stop and get at least a few more gallons. A gallon is equal to 4 quarts, or 3.785 liters, of liquid.

<h3>Explain about the gallons?</h3>

Eight pints make up a gallon, which is a unit of measurement for liquids. It is equivalent to roughly 4.546 liters in Britain. It is roughly equivalent to 3.785 liters in America.

A gallon of water in the US weighs 8.345 pounds or 3.785 kilogram at 17 degrees Celsius, while a gallon of water in the imperial system weighs 10.02 pounds or 4.545 kilogram. The Imperial gallon weighs 16.6% less than 1 US gallon (gal).

Gas consumption is affected by driving on hills and mountainous terrain, by the state of the roads (such as stop-and-go city traffic or highway travel), and by the weather (such as high winds or snow). We can safely infer that under a number of

Answer is 14 gallons of gas need to travel 406 miles

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5 0
11 months ago
Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot
sukhopar [10]
Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
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5 0
3 years ago
2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?
Vera_Pavlovna [14]

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

8 0
3 years ago
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