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shtirl [24]
2 years ago
9

The Womens' World Record Marathon time has improved by 34.82% from Dale Grieg's (UK) time of 3 hrs 27 mins 45s in 1964 to Paula

Radcliffe's (UK) time in 2003. Find Paula Radcliffe's World Record time. ​
Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

Using proportions, it is found that Paula Radcliffe's World Record time was of 2h 15 min 25s.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In seconds, Dale Grieg's time is of:

3 x 3600 + 27 x 60 + 45 = 12,465s.

The Womens' World Record Marathon time has improved by 34.82%, that is, it was reduced by 34.82%, which means that the time is 65.18% of what it was, hence Paula Radcliffe's time is seconds is given by:

P = 0.6518 x 12465 = 8,125s.

In hours, minutes and seconds, we have that:

8,125s = 2h 15 min 25s.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Gnom [1K]

2x(4-x)^{-1/2}-3(4-x)^{1/2}=(4-x)^{-1/2}\bigg(2x-3(4-x)\bigg)

We effectively rewrite the equation as

\dfrac{5x-12}{(4-x)^{1/2}}=0

In order for the LHS to be defined, we need to restrict 4-x>0, or x. Now, the LHS will vanish when the numerator is 0, which happens for

5x-12=0\implies5x=12\implies x=\dfrac{12}5

This value is indeed smaller than 4, so the solution is x=\dfrac{12}5.

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3 years ago
Find the measure of 46.
san4es73 [151]

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

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3 years ago
Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like th
Nikitich [7]

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple
MrRa [10]

Answer:

La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.

Step-by-step explanation:

En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.

Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.

Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x

Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:

x + 4*x+ 8*x= 104 (Planteamiento algebraico)

Resolviendo (Procedimiento):

13*x=104

x=\frac{104}{13}

x=8

Esto significa que <u><em>la cantidad de horas que trabajó Hugo son 8</em></u>.

Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces <u><em>Eduardo trabajó 32 horas.</em></u>

Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces <u><em>Francisco trabajó 64 horas.</em></u>

7 0
3 years ago
Please help I will give you brainliest!!!!
VikaD [51]

Answer:

63.25sqft

Step-by-step explanation:

semi circle:

a=\pir^2

a=\pi(5)^2 (radius is 5 bc diameter is 10 so you divide it by 2)

a=25\pi

a=78.5/2=39.25 (divide by 2 bc its a semi circle)

triangle:

a=1/2bh

a=1/2(6x8)

a=1/2(48)

a=24

area:

39.25+24=63.25

8 0
3 years ago
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