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LenKa [72]
3 years ago
11

If you want brainlest thanked every day and 5 starred do this!

Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

<h2><u>Hakims car goes faster.</u></h2>

Step-by-step explanation:

Hakims car goes 600ft in 20 secs and andre's motorcycle goes 600ft in 24secs

vodka [1.7K]3 years ago
3 0

Answer:

Andre's Motorcycle

Step-by-step explanation:

You need to find the feet per second which will show you which one is fastest.

Hakim's Car: 600 divided by 20= 30 ft per second.

Andre's Motorcycle: 300 divided by 12= 25 feet per second.

You might be interested in
Suppose theta(????) measures the minimum angle between a clock’s minute and hour hands in radians. What is theta′(????) at 4 o’c
makvit [3.9K]

Answer:

\frac{\pi }{30} radians per minute.

Step-by-step explanation:

In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.

The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is \frac{1}{12}

So, you have to calculate the angle between each consecutive hour (Let ∅ represent it). It can be calculated dividing the angle of the entire circumference by 12.

∅=\frac{2\pi }{12} = \frac{\pi }{6} rad

Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)

There are 4 portions from 12 to 4, so the angle (Let α represent it) is:

α= (4)\frac{\pi }{6} = \frac{2\pi }{3}

But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.

There are 60 divisions in a clock for representing minutes, therefore in every portion there are:

\frac{60}{12} = 5 minutes

So, from the 12 mark to the 4 mark there are 20 minutes

The angle per minute is:

α= \frac{2\pi/3 }{20} = \frac{2\pi }{(20)(3)} = \frac{\pi }{30} rad/min

Notice that the minimum angle is the angle mesured clockwise.

4 0
3 years ago
The population, y, of a small town can be represented using a quadratic model. The maximum population, 6,000 people, occurred 20
Harlamova29_29 [7]
Y<span> = –2(</span>x<span> – 20)^2</span><span> + 6,000

Hope This Is Sufficient !!</span>
3 0
3 years ago
Read 3 more answers
Find the volume V obtained by rotating the region bounded by the curves about the given axis.
BartSMP [9]

Using the disk method, the volume is given by the integral

\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx

That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is

\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}

8 0
3 years ago
What is the solution in point-slope form of the line that passes through the point (3,-2) and has slope of 2/3
julsineya [31]

Answer:

y+2=2/3(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=2/3(x-3)

y+2=2/3(x-3)

8 0
4 years ago
sonya made pepperoni pizzas for the guests at her party last night she made 12 small pizzas she cut each pizza into 8 slices son
Airida [17]
She had 12 pizzas and 8 slices so 12x8=96 then each guest ate 3 slices so 96/3=32. Sonya had 32 guest at her party.
7 0
4 years ago
Read 2 more answers
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