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3 years ago

13

How long does it take to drive 272 miles going 68mph

2 answers:

DedPeter [7]3 years ago

7 0

<span>272mi/68mi/hr= 4 hr

Example:
Calculate the acceleration of a boat that has been cruising at 15 m/s but speeds up to 45 m/s in about 6 seconds. Don’t forget your units, m/s2. In order to calculate the acceleration of the boat we first have to identify the suited formula for acceleration in this scenario. </span>

<span>Hence, a = vf – vi / t. Vi = 15 m/s Vf = 45 m/s T = 6 seconds </span>

<span>Solution: </span>
<span>A = 45 m/s – 15m/s / 6s </span>
A = 5m/s^2<span>
</span>

mamaluj [8]3 years ago

5 0

♥ It is going to take you 4 hours to drive 272 by going 68mph.
To do this you need to divide.
♥ 272/68=4

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How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once?

Alexandra [31]

In the first digit, there are 6 possibilities. In the second, there are 5, because you can't use the digit you used before. In the third, there are 4, and in the fourth, there are 3. So,

6*5*4*3=360

There are 360 different possible four-digit numbers

5 0

2 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

Factor by grouping.<br> 5w+2w + 25w + 10

masha68 [24]

Answer:

32w+10

Step-by-step explanation:

add all the w's then just add 10

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3 years ago

Why is every prime number greater than 2 an odd number?

DanielleElmas [232]

Every prime greater than 2 is oddNo even number greater than 2 is prime

5 0

3 years ago

Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x

mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x = sin(4x)

That's the final answer.

6 0

3 years ago