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Nana76 [90]
3 years ago
13

The perimeter of a rectangle is 338, if the ratio of the length to the width is 8:5, find the length

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0
Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13

Therefore, length = 8x = 8 x 13 = 104
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I need help it’s homework and idk how to do it
Volgvan

Answer:

  x = 40 1/2

Step-by-step explanation:

The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the  larger one. Then x is half the length of the corresponding segment marked 81.

  x = 81/2

  x = 40 1/2

___

You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.

3 0
2 years ago
So just read yhe picture please ​
const2013 [10]

The correct answer is B). 6

Radius of inscribed circle of triangle HJK is 6 unit

Step-by-step explanation:

As shown in figure,

The triangle HJK has In-circle or inscribed circle of radius PL(or PM or PN)

Since, PL and PM is radius of same in-circle,

PL = PM

Given that PL=3x+4 and PM =6x-14

3x+4=6x-14

3x=18

x=6

Thus, The correct answer is B). 6

6 0
3 years ago
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
the case of napkins contained 45 packs with a total of 10,125 napkins. each napkin contained the same number of napkins. write a
Pavlova-9 [17]
You would need to do 10,125/45 = n, and in which case we just solve. 
10,215/45=227, so there are 227 napkins in each box.


Hope this helps and have a nice day:)
7 0
3 years ago
What is the value of x, if the perimeter of the rectangle is 37?<br><br> This is the problem :
salantis [7]

Answer:

X= 3.7

Step-by-step explanation:

Perimeter of rectangle= 2(L+B)

37= 2(4X+X)

37= 2(5X)

37= 10X

37/10=X

3.7= X

3 0
3 years ago
Read 2 more answers
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