What is the reciprocal of 453463.432849

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

5 0

Answer: 0.00000220524

Step-by-step explanation:

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9. The ratio of Joe's weight to Colin's is 2:3. Colin's weight is 36kg. If Joe gains

STatiana [176]

2:3
?:36

36/3=13
2x13=26

26:36

26+3=29

29:36

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2 years ago

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

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2 years ago

Determine whether or not there is a congruence between △abc and △def. if there is such a congruence, then give the reason for it

Andru [333]

There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.

The appropriate choice is

... none

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3 years ago

11. A recipe calls for 1/2

andreyandreev [35.5K]

Answer:

if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract

Step-by-step explanation:

10 devided by 2 1/2= 4

and 1/2 multiplied by 4 is 6

3 0