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Rasek [7]
3 years ago
13

Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4

Mathematics
2 answers:
34kurt3 years ago
4 0

Answer:

AC = BD = 1 unit

Step-by-step explanation:

 Given : length of diagonal of rectangle ABCD  AC=\frac{3y}{5} and BD=3y-4

We have to find the length of diagonal.

We know In rectangle diagonal are of equal lengths.

Therefore, for rectangle ABCD diagonals AC= BD

Substitute the values, we get,

\frac{3y}{5}=3y-4

Cross multiply , we get

3y=5(3y-4)

On simplyfy , we get

3y=15y-20

Solve for y , we get

15y-3y=20

12y=20

Divide both side by 12, we get,

y=\frac{20}{12}=\frac{10}{6}

Thus, put the values of y in AC and BD to find the length of diagonals , we get,

AC=\frac{3y}{5}=\frac{3}{5}\times\frac{10}{6}=1

Similarly for BC, we get,

BD=3y-4=3(\frac{10}{6})-4=5-4=1

Thus, AC = BD = 1 unit

-Dominant- [34]3 years ago
3 0
I hope this helps you

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8 0
3 years ago
The heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights d
murzikaleks [220]

Answer: 10.703%

Step-by-step explanation:

Let minimum height of the tallest 25% of young women be M.

Let Q be the random variable which denotes the height of young women.

Therefore, Q – N(64,2.70)

Now, P(Q˂M) = 1-0.25

i.e. P[(Q-64)/2.7 ˂ (M-64)/2.7] = 0.75

I.e. ф-1 [(M-64)/2.7] = 0.75 i.e. (M-64)/2.7 = ф-1 (0.75) = 0.675 i.e. M = 65.8198 inches

Let R be the random variable denoting the height of young men

Therefore, R – N (69.3, 2.8)

i.e. (R-69.3)/2.8 – N(0,1)

therefore the probability required = P(R ˂65.8198) = P[(R-69.3)/2.8 ˂ (65.8198 – 69.3)/2.8]

this gives P[(R-69.3)/2.8 ˂] = ф (-1.2429) = 0.107033

From this, the percentage of young men shorter than the shortest amongst the tallest 25% of young women is 10.703%

4 0
3 years ago
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6 0
3 years ago
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mezya [45]

Answer:

Option D.

Step-by-step explanation:

Hey there!

The given points are:(-4,-10) and (2,1).

Now; use midpoint formula,

(x,y) =  (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Put all values.

(x,y) =  (\frac{ -4  + 2}{2} , \frac{ - 10 + 1}{2} )

Simplify it.

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Therefore, your required answer is Option D.

8 0
3 years ago
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