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2 years ago

A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?

1 answer:

4 0

Length = 5.50 m
width = 12.0 m

Perimeter = 2(length + width) = 2(5.5 + 12) = 2(17.5) = 35 m
Area = length * width = 5.50 * 12.0 = 66 m^2

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What is the next sequence for 18,250, 18,500, 19,000, 20,000?

olchik [2.2K]

21,500 this is the answer

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2 years ago

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The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi

Tems11 [23]

Answer:

1/15

Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits 1 , 2 , 3 , 5 , 8 and 9 (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits 1 , 2 , and 3 , we can have 123 , 132 , 231 , 213 , 312 or 321 .

Hence we have to find number of 3 digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ = 6 × 5 × 4 = 120 .

.How haw many of them will have first digit as even, we have two choices 2 and 8 . Once we have chosen 2

for hundreds place, we can have only 8 in units place and any one of remaining 4 can be used in tens place. Hence four choices, with 2 in hundreds place and another four choices when we have 8 in hundreds place (and 2 in units place) i.e. total 8 possibilities.

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is 8 /120 = 1 /15

4 0

2 years ago

A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the prece

Alex_Xolod [135]

Answer:

The number of seat when n is odd $S_n=\frac{n^2+2n+1}{4}$

The number of seat when n is even $S_n=\frac{n^2+2n}{4}$

Step-by-step explanation:

Given that, each successive row contains two fewer seats than the preceding row.

Formula:

The sum n terms of an A.P series is

$S_n=\frac{n}{2}[2a+(n-1)d]$

$=\frac{n}{2}[a+l]$

a = first term of the series.

d= common difference.

n= number of term

l= last term

$n^{th}$ term of a A.P series is

$T_n=a+(n-1)d$

n is odd:

n,n-2,n-4,........,5,3,1

Or we can write 1,3,5,.....,n-4,n-2,n

Here a= 1 and d = second term- first term = 3-1=2

Let $t^{th}$ of the series is n.

$T_n=a+(n-1)d$

Here $T_n=n$ , n=t, a=1 and d=2

$n=1+(t-1)2$

⇒(t-1)2=n-1

$\Rightarrow t-1=\frac{n-1}{2}$

$\Rightarrow t = \frac{n-1}{2}+1$

$\Rightarrow t = \frac{n-1+2}{2}$

$\Rightarrow t = \frac{n+1}{2}$

Last term l= n,, the number of term $=\frac{ n+1}2$ , First term = 1

Total number of seat

$S_n=\frac{\frac{n+1}{2}}{2}[1+n}]$

$=\frac{{n+1}}{4}[1+n}]$

$=\frac{(1+n)^2}{4}$

$=\frac{n^2+2n+1}{4}$

n is even:

n,n-2,n-4,.......,4,2

Or we can write

2,4,.......,n-4,n-2,n

Here a= 2 and d = second term- first term = 4-2=2

Let $t^{th}$ of the series is n.

$T_n=a+(n-1)d$

Here $T_n=n$ , n=t, a=2 and d=2

$n=2+(t-1)2$

⇒(t-1)2=n-2

$\Rightarrow t-1=\frac{n-2}{2}$

$\Rightarrow t = \frac{n-2}{2}+1$

$\Rightarrow t = \frac{n-2+2}{2}$

$\Rightarrow t = \frac{n}{2}$

Last term l= n, the number of term $=\frac n2$ , First term = 2

Total number of seat

$S_n=\frac{\frac{n}{2}}{2}[2+n}]$

$=\frac{{n}}{4}[2+n}]$

$=\frac{n(2+n)}{4}$

$=\frac{n^2+2n}{4}$

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2 years ago

Two runners start the race at the same time. The first runner's speed is

ki77a [65]

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

<h3>Speed</h3>

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first runner and b for the second runner. Hence:

a = (4/5)b

After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:

a = d₁ / 0.5

d₁ = 0.5a

Also:

b = d₂/0.5

d₂ = 0.5b

d₁ + d₂ = 2, hence:

0.5a + 0.5b = 2

0.5(4/5)b + 0.5b = 2

b = 2.22 mph

a = (4/5) * 2.22 = 1.78 mph

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

Find out more on Speed at: brainly.com/question/13943409

8 0

1 year ago

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6x^2-6x-2=0 I really have no idea what the answer is

pychu [463]

Answer:

x = $\frac{1}{2}$ + $\frac{1}{6}$ √21 or x = $\frac{1}{2}$ + $\frac{-1}{6}$ √21

Step-by-step explanation:

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2 years ago