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sergij07 [2.7K]
3 years ago
10

Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20

cm 15 cm

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied  by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied  by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>
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tigry1 [53]

Answer: 31,365

Step-by-step explanation:

Given : The number of horror films = 15

The number of comedies = 18

Then , the number of different combinations of 4 movies can he rent if he wants at least two comedies is given by :-

^{18}C_2\times ^{15}C_2+^{18}C_3\times ^{15}C_1+^{18}C_4\times ^{15}C_0\\\\=\dfrac{18!}{2!(18-2)!}\times\dfrac{15!}{2!(15-2)!}+\dfrac{18!}{3!(18-3)!}\times\dfrac{15!}{1!(15-1)!}+\dfrac{18!}{4!(18-4)!}\times\dfrac{15!}{0!(15-0)!}\\\\=16065+12240+3060=31365

Hence, the  number of different combinations of 4 movies can he rent if he wants at least two comedies = 31,365

7 0
3 years ago
Help me solve this problem please
lilavasa [31]
Her mother did not gave her enough money.
each pound of bananas costs 80 cents. 5 pounds of that is $0.8 x 5 = $4.00
each pound of apples costs $1.40. 5 pounds of that is $1.40 x 5 = $7.00
$4.00 + $7.00 = $11.00
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5 0
3 years ago
Please help with math problem if do 5 star
sasho [114]

Answer:

A

Step-by-step explanation:

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4 0
2 years ago
A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled
liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0
3 years ago
The measures of angle ABC are given by the expression on the table (shown below)
amid [387]

Answer:

<A = ( 4 * 32 - 13 ) = 115

<C = ( x + 18 ) = 50

Step-by-step explanation:

(4x - 13 ) + 15 + ( x + 18 ) = 180 ( because the total angle of a triangle is 180)

5x + 20 = 180

5x = 160

x = 32

8 0
3 years ago
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