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3 years ago

Mario travels 180 miles in 2.5 hours. If Mario travels at the same rate, how far can Mario travel in 5 hours

1 answer:

6 0

2.5 x 2 is 5, so if he travels at the same rate, you must increase the miles by the same amount. So in this case its 180 x 2, which is 360.

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The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents

kvv77 [185]

Answer: $\pi =\frac{47.1}{15}$

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. $C=\pi D$

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. $C=2\pi r$

Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

$C=47.1\\\\d=15$

Then, knowing those values, you can substitute them s into the first equation $C=\pi D$ , as following:

$47.1=\pi (15)$

The final step is to solve for $\pi$ :

$\pi =\frac{47.1}{15}$

8 0

3 years ago

If i make 1.5 million dollars per day, plus an extra 250k interest every 31 hours, how much money do i make per day?

lidiya [134]

Answer: Alot

Step-by-step explanation:

4 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

BRAINLIEST<br>There are infinitely many lines with a slope of 42?<br><br>True or False

jek_recluse [69]

Answer:

True

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

kayla is drawing a picture of her favorite building in her city, the height of the building on her drawing is 3 inches tall, the

Stolb23 [73]

Answer:

1/12

Step-by-step explanation:

3/36 can easily be simplified into 1/12 you're welcome :)

4 0

3 years ago