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andre [41]
3 years ago
6

What is the total area of the figure below?

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Step-by-step explanation:

As we know that,

In area of triangle , breadth =6inch,similarily ,height =8inch

now ,

Area of triangle = 1/2 ×b×h

= 1/2 × 8 ×6

=24inch^2

also,

In another figure,we can say

a=10 inch,b=16 inch and h=9 inch

similarly,

Area of trapizium = 1/2 h(a+b)

= 1/2 ×9(10+16)

=9/2 ×26

=9×13

=117inch^2

now ,

total area of figure =117 +24 =141inch^2

therefore,total area of figure is 141 inch^2

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Find the lateral area and surface area of a cone with a radius of 12 and a height of 21
marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

<u>For Lateral Surface Area</u>

<h3><u>Formula</u><u>:</u> </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

<u>For</u><u> </u><u>Total</u><u> Surface Area</u>

<h3><u>Formula:</u></h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The <u>Lateral Surface Area</u> is 911.32 square unit and <u>T</u><u>otal Surface Area</u> is 1361.7 square unit.

<u>-TheUnknownScientist</u>

6 0
3 years ago
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Logan owed his brother $7.50. For his birthday, Logan received $20 from his grandpa. After paying his brother back, how much mon
evablogger [386]

Answer:

$12.50

Step-by-step explanation:

20 - 7.50=12.50

3 0
3 years ago
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$90 is what percent of $100?<br><br> I need help.
serg [7]

90%

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3 0
3 years ago
Seven times a number minus the number is -48. Find the number.
irinina [24]
The answer is -8 I believe.

To put this into an equation, we get 7x-x=-48. This is equal to 6x=-48. When we divide we get -8.
8 0
3 years ago
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For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

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