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2 years ago

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 3 square 2

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

8 0

As the Pythagoreans discovered to their horror, the sides of the isosceles right triangle are in ratio $1:1:\sqrt 2$ .

The hypotenuse is $\sqrt 2$ times the leg, so here is

$3 \sqrt{2} \times \sqrt{2} = 6$

Answer: 6

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Different numbers their sum equal their product

Shtirlitz [24]

Answer:

The three natural numbers whose sum and product are equal are 1, 2 and 3.

By eg.,1+2+3=6 &1×2×3=6.

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2 years ago

Ira used 1/2 a gallon of paint to 3/4 of his deck. How many gallons would it take to paint the entire deck?

lara31 [8.8K]

Answer:

2/3 gallons

Step-by-step explanation:

Given data

We have the following data

1/2 gallons is the same as 0.5 gallons

hence 0.5 gallons will cover 3/4 of his deck

x gallons will cover 1 of his deck

cross multiply we have

3/4*x = 0.5*1 gallons

3x/4= 0.5

3x= 2

divide both sides by 3

x= 2/3

Hence 2/3 gallons will cover the entire deck

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2 years ago

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 23 miles per day. The mileage per day

o-na [289]

Answer:

The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = 0.5890 miles

Step-by-step explanation:

Step(i):-

Given mean of the Population = 100 miles per day

Given standard deviation of the Population = 23 miles per day

Let 'X' be the normal distribution

Let x₁ = 86

 $Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{86-100}{23} =-0.61$ 

Let x₂= 86

 $Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{125-100}{23} = 1.086$ 

Step(ii):-

 The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = P(-0.61 ≤ Z≤ 1.08)

 = P(Z≤ 1.08) - P(Z≤ -0.61)

 = 0.5 +A(1.08) - ( 0.5 - A(-0.61)) 

 = A(1.08) + A(0.61) ( A(-Z)= A(Z)

 = 0.3599 + 0.2291

 = 0.5890

Conclusion:-

The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = 0.5890 miles per day

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2 years ago

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You can go on 5 rides.

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Which is not an equation of the line going through (3,-6) and (1, 2)?

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1 year ago

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