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4 years ago

Find the surface area of a pentagon

Mathematics

1 answer:

fenix001 [56]4 years ago

7 0

So hmm notice the picture below

what you really have is, 2 pentagons and 5 rectangles, stacked up to each other at the edges

so.. .the surface area of the figure, will be, the area of those 5 rectangles added together plus the area of those 2 pentagons

now... notice, each rectangle is a 12x8
now.. to get the pentagons area, keep in mind, the area of a regular polygon is 1/2 * apothem * perimeter

you have the apothem, is given, one side is 12 units long, the perimeter is all sides added together, thus 12+12+12+12+12

so.. get the area of each of the rectangles and those pentagons, sum them up, and that's the surface area of the figure

You might be interested in

What are the excluded values of x for x+4/-3x2+12x+36

grin007 [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

Solve

- 3x² + 12x + 36 = 0 ( divide through by - 3 )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

x = - 2 and x = 6 ← are the excluded values

5 0

3 years ago

(SAT Prep) Find the value of x.

emmainna [20.7K]

Answer:

120 deg

Step-by-step explanation:

Draw a horizontal line that passes vertices of 2 angles 125 deg and 115 deg.

This line is perpendicular with 2 vectors.

Apply the property of vertical angles and the sum of 3 angles in a triangle.

x = 180 - (125 - 90) - (115 - 90) = 120 deg

5 0

3 years ago

Of the coffee makers sold in an appliance store, 4.0% have either a faulty switch or a defective cord, 2.5% have a faulty swi

lukranit [14]

Answer: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

Step-by-step explanation:

Since we have given that

Let A be the event of getting a faulty switch.

Let B be the event of getting a defective cord.

Here, P(A∪B) = 4% = 0.04

P(A∩B) = 0.1% = 0.001

P(A) = 2.5% = 0.025

We need to find P(B):

As we know that

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\0.04=P(A)+0.025-0.001\\\\0.04=P(A)+0.024\\\\P(A)=0.04-0.024=0.376$

Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

6 0

3 years ago

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,

baherus [9]

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

$\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b)$

Lo que significa :

$=\tt 2(x + x + 5) = 74$

$=\tt 2(2x + 5) = 74$

$=\tt 4x +10 = 74$

$=\tt 4x = 74 - 10$

$=\tt 4x = 64$

$=\tt x = \frac{64}{4}$

$\color{plum} =\tt x = 16$

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

$=\tt x + 5$

$= \tt16 + 5$

$\color{plum} =\tt 21 \: pulgadas$

La longitud de este rectángulo = 21 pulgadas

<h2>Por lo tanto :</h2>

● Longitud del rectángulo = <em>21 pulgadas</em>

● Ancho del rectángulo = <em>16 pulgadas</em>

3 0

3 years ago

Help me with this question please!! no links!!

In-s [12.5K]

50.24
4 squared is 16
16•3.14= 50.24
A= 3.14(4)^2
:)

3 0

3 years ago