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2 years ago

Does anybody know this?Find the area of the regular polygon

Mathematics

1 answer:

sweet [91]2 years ago

4 0

Answer:

<h2>2,268 square units</h2>

Step-by-step explanation:

Step 1

Find the area of 1 Triangle

To find this, we will use this formula:

$A=\frac{1}{2} *B*H$

Let's use the formula!

$A=\frac{1}{2} *14*27\\=\frac{1}{2}* 378\\=189$

The area of 1 triangle is 189 square units

Step 2

Find the area of the whole intire shape by multiplying the area of 1 triangle with the amount of sides.

There are 12 sides, so let's multiply 189 by 12

189x12=2268

<h2>Hence, the area of the regular polygon is 2,268 square units</h2>

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-5/2 x (3x + 4) < 6x - 3x Please show work

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Answer:

$x > - \frac{20}{21}$

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

-15x - 20 < 6x

-15x - 6x < 20

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x > -20/21

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2 years ago

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What is a exponential function?

9966 [12]

Answer:

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Step-by-step explanation:

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3 years ago

The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is

emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation. Solve using factoring...

(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)

b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0

b = -24

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

b = 8

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

h = (1/2)(8) + 8

h = 4 + 8

h = 12

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4 years ago

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tekilochka [14]

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3 years ago

If anyone knows the answer to this can you help me

Murljashka [212]

Answer:

Step-by-step explanation:

The equation of a line is:

y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is -1

so if given lines slope is ¹/₇ them:

¹/₇·m = -1

m = -7

(3, -7) ⇒ x₀ = 3, y₀ = -7

Therefore:

y - (-7) = -7(x - 3)

y + 7 = -7(x - 3) 

4 0

3 years ago