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Inga [223]
3 years ago
9

D'andre was trying to make a rectangular frame that had a width of 24 inches and a length of 70 inches. He wanted to ensure his

shape contained right angles, so he measured the diagonal and found that it was 74 inches long. Did D'andre construct a rectangle? Why or why not?
Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

yes

the sum of the squares of the width and length is equal to the square of the diagonal

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

24^2 + 70^ = 576 + 4900 = 5476

square root = 74

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Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bi
Oliga [24]

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

5 0
3 years ago
2(n2 + 1) – 3(n2 – 3) + 3(2n2 – 2),<br> n=(1/4)
IceJOKER [234]

]Answer:

5\frac{5}{16}

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

2(\frac{1}{4} ^{2} +1-3(\frac{1}{4} ^{2} -3)+3((2*\frac{1}{4}^{2}  )-2)

Solve it out.

Multiply / divide / add / subtract everything out.

4 0
3 years ago
A stick is broken into two pieces, at a uniformly random break point. Find the CDF and average of the length of the longer piece
Oksanka [162]

Answer:

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

Step-by-step explanation:

let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that

U≤ l and 1-U ≤l

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

this means 1-l≤U≤l

so we have

if we have L  [1/2,1]

then apply the formula we have E(L)=3/4

5 0
4 years ago
6. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will
azamat

Answer:

18 km

Step-by-step explanation:

set up a ratio:

for 2.4 liters of petrol, 43.2 km is covered

for 1 liter of petrol, x km is covered

so 2.4/43.2 is equal to 1/x

cross multiply:

2.4x = 43.2

simplify:

x=18

the vehicle will cover 18 km in one liter of petrol

3 0
3 years ago
What is greater 3/11 or 2/6
FromTheMoon [43]

Answer:

2/6 is greater than 3/11

5 0
3 years ago
Read 2 more answers
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