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Eva8 [605]
3 years ago
8

Pls help me get full marks

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
7 0

Answer:

A is smaller

Step-by-step explanation:

Container A

A = 2π·r·h + 2π·r²

= 2π·r(h + r)

r = d/2 = 54mm/2 = 27 mm

h = 4d = 4·54mm = 216 mm

= 2·3.14·27(216 + 27)

= 169.56×243

= 41203.08 mm²

Container B

A = 4·l·h + 2·l²

l = 2d = 2·54mm = 108 mm

h = d = 54 mm

= 4·108·54 + 2·11664

= 23328 + 23328

= 46656 mm²

wlad13 [49]3 years ago
5 0

Answer:

A is smaller

Step-by-step explanation:

Radius = 54/2 = 27

Cylinder:

SA = 2×3.15×27² + 2(3.14×27×(4×54))

= 41203.08 mm²

Cuboid:

SA = 2[(2×54)²] + 4[54×(2×54)]

= 46656 mm²

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С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
Your state charges 5% sales tax on nonfood items. You're buying a light bulb for $3.00, cereal for
dimulka [17.4K]
We first add the tax to the non-food items.  We have ($3.00+$.50)*1.05=($3.50)*1.05=$3.675 (Which can be rounded up to $3.68, since we can't have a fraction of a cent).

Now, we add the cost of the food to $3.68.  As a result, we have $3.68+$2.50=$6.18 as the total bill.
6 0
3 years ago
If 3 students make up 10% of the class, how many students are there total in the class?
stealth61 [152]

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

7 0
2 years ago
Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bi
cricket20 [7]

Step-by-step explanation:

first you find the volume of a bin.

that is multiplication of 3 dimensions given.

4*4*4=64 cubic feet...

now volume of books..

0.75*0.75.0.25=0.14 cubic feet

now the number of books that will fit the bin=volume of bin/volume of books

64/0.14=455

455 books

7 0
2 years ago
What's the volume of a pipe that's 4 feet in diameter and 24 feet long? (Use π = 3.1416.)
Karolina [17]

Answer:

301.5936 cubic ft

Step-by-step explanation:

Formula for the volume of a cylinder is V = pi*r*r*h, where r represents the radius and h represents the height of the cylinder. Since radius is half the length of diameter, the pipe has a radius of 4/2 = 2 ft.

V = pi*r*r*h = 3.1416*2*2*24 = 301.5936 cubic ft

5 0
2 years ago
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