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2 years ago

How much greater is 0.0543 than 0.002?

Mathematics

1 answer:

aleksley [76]2 years ago

5 0

Answer:

0.0523

Step-by-step explanation:

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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

2 years ago

What will be the multipicative inverse of 2/3?

Eddi Din [679]

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies it is something that is the opposite.

The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.

8 0

2 years ago

Read 2 more answers

The diameter (d) of a circle with a circumference of 440 cm is: Use Π = 22/7

elena-s [515]

Answer:

Step-by-step explanation:

c=2*22/7r

440=44/7r

440*7/44=r

70=r

d=2r

d=2*70

d=140 cm

5 0

1 year ago

Read 2 more answers

An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the numbe

Phantasy [73]

Answer:

612

Step-by-step explanation:

9 x 68 = 612

8 0

3 years ago

2 divided by negative 1/5

oksian1 [2.3K]

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

4 0

2 years ago