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2 years ago

A softball base is 15 x 15 inches long and wide. What is the length of the diagonal?

Mathematics

1 answer:

Finger [1]2 years ago

4 0

Answer:

15 sqrt 2

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

15^2 + 15^2 = c^2

225 + 225 = 450

Find prime factors of the sq rt of 450

450 = 2 * 3 * 3 * 5 * 5

15 sqrt 2

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What is 8,170 divided by 75 equal

Reptile [31]

108.93

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3 years ago

The sum of the integers p and q is 495. If p is divided by 10, the result is equal to q. What is the value of p ?

velikii [3]

450 ....................................................................................

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3 years ago

In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

7 0

3 years ago

There is one error in one of five blocks of a program. To find the error, we test three randomly selected blocks. Let X be the n

marusya05 [52]

Probability(error in one block)= 1/5
<span>Probability(error in 3 blocks)= 3*(1/5)= 0.6</span>

Let,
0 = No error
<span> 1 = error
</span>Hence.
E(x) = 0.4 x 0 x+0.6 + 1
= 1.6

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3 years ago

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Delicious77 [7]

This is your answer say me if I am wrong

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3 years ago

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