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Licemer1 [7]
2 years ago
14

What is the surface area of the composite figure?

Mathematics
1 answer:
motikmotik2 years ago
6 0

9514 1404 393

Answer:

  382 cm²

Step-by-step explanation:

The side facing is a trapezoid with bases 8 and 14 cm, and height 7 cm. Its area is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(8 +14)(7) = 77 . . . . cm²

The perimeter of the face is ...

  7 cm + 8 cm + 9 cm + 14 cm = 38 cm

The total surface area is the sum of the lateral area and the base area.

  SA = LA + BA

  SA = (38 cm)(6 cm) + 2×(77 cm²) = 228 cm² + 154 cm²

  SA = 382 cm²

The surface area of the composite figure is 382 square centimeters.

_____

<em>Additional comment</em>

The lateral area is the width of a rectangular face (6 cm) times the total of all of the lengths of those faces. That total is the perimeter of the trapezoidal base (38 cm).

There are two trapezoidal bases that contribute area. The first calculation figured the area of one of them.

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Ms Happy has decided to start wearing a face mask, because it is now required of her to do so. The mask she has started wearing
Alchen [17]

Answer:

37.20 %

Step-by-step explanation:

Circumference = 2 × pi × r

30 = 2 × 3.14 × r

r = 4.7770700637

Area of her face = pi × r²

3.14 × 4.7770700637²

= 71.6560509556 in²

Area of the mask = 9 × 5 = 45 in²

Uncovered area

= 71.6560509556 - 45

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% of uncovered area:

26.6560509556/71.6560509556 × 100

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6 0
3 years ago
A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word
alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

3 0
2 years ago
How many times as bigger is it? Picture shown above
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2 * 10^2

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