Answer: 10 inches × 14 inches

Work:

length = x inches
width = x - 4 inches
perimeter = 2(l+w)

48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x

length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches

3 0

3 years ago

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In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago

Please help!! ill give BRAINLIEST!!!

Ugo [173]

1. 90°
2. 5.74
3. 90°
4. 7
:))

4 0

2 years ago

The equation of line P is Y equals -7 divided by X +6 line Q is perpendicular to pee what is the slope of line Q￼

The equation of line P is Y equals -7 divided by X +6 line Q is perpendicular to pee what is the slope of line Q