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2 years ago

What are composite for 48?

Mathematics

1 answer:

weqwewe [10]2 years ago

3 0

<span> It can be divided by 8 and 6. 8x6=48.</span>

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Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2

marta [7]

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

6 0

2 years ago

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Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the giv

AnnZ [28]

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

$\Delta Sector=\dfrac{1}{2}r^2\theta$

Whereas the area of a circle for a radius r is given as

$\Delta Circle=\pi r^2$

Now the ratio is given as

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}$

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }$

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

6 0

2 years ago

Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)

CaHeK987 [17]

Answer:

Midpoint is $(-25.15,10.2)$

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let $(a,b),(c,d)$ be the endpoints of a line segment.

Midpoint of the line segment is given by $(\frac{a+c}{2} ,\frac{b+d}{2})$

Take the given points as follows:

$(a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)$

Midpoint of a line segment $=(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})$

$=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)$

7 0

2 years ago

I need help!! I'll report if wrong

ss7ja [257]

Answer:

Step-by-step explanation:

2+2+3+4+5+6 = 23

3 0

2 years ago

Four students want to have their picture taken together. They will stand side-by-side for the picture. In how many different way

yulyashka [42]

Answer:

24 ways

Step-by-step explanation:

<u>This is the permutation of 4:</u>

4P4 = 4! = 1*2*3*4 = 24 ways

8 0

1 year ago

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