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Sergeu [11.5K]
3 years ago
13

PLS HELP 15 POINTS

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

2√21

Step-by-step explanation:

Diagonal =√(L²+W²+H²)

Diagonal =√(8²+4²+2²)=√(64+16+4)=√84=2√21

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In a certain state, license plates consist of three letters followed by three numbers.
Anton [14]

a. If any letters and numbers are allowed, there will be

... 26×26×26×10×10×10 = 260³ = 17,576,000 possible plates

b. If the letters and numbers cannot repeat, there will be

... 26×25×24×10×9×8 = 11,232,000 possible plates with no repeats

c. The proabaility that a randomly chosen plate has no repeats is

... 11,232,000/17,576,000 = 108/169 ≈ 0,63905

_____

When no repeats are allowed, the first letter choice can be any of the 26 letters. The second letter choice must exclude the first letter, so there are only 25 different letters to choose from. Likewise, the third letter choice cannot be either of the first two, so there are only 24 letters to choose from. The reasoning applies to numbers in similar fashion.

8 0
3 years ago
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
seraphim [82]

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

6 0
3 years ago
A pack of 13 candles is priced at $78. At that rate, how much would only 10 candles cost?
Sphinxa [80]

Answer:

78/13 = 6 (is the price of one candle)

6(price) x 10(candles) =60 is the answer

Hope it helped

8 0
3 years ago
WILL MARK YOU BRAINLIEST
svlad2 [7]

Answer:

if the other lines are parallel or not.

Step-by-step explanation:

8 0
3 years ago
The radius of a cylinder is increased by 5 percent. Given that the height is constant, find the percentage increase in volume. ​
telo118 [61]

Step-by-step explanation:

Volume =pir^h

V1=pi r1^h

V2=pir2^2h

Now,V1/V2=r1^2/r2^2

v1/v2=r1^2/(1.05)^2 ((r2=r1+5/100r1)

v1/v2=1/1.1025

v1/v2=0.907

(v1/v2-1)=0.0907×100%

(v1-v2)/v2=9.07%

increase in volume is 9.07%

7 0
2 years ago
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