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2 years ago

12 laps in 8 minutes or 16 laps in 10 minutes? Which is the greater.

Mathematics

2 answers:

nadezda [96]2 years ago

7 0

Answer:

16 laps in 10 minutes

Step-by-step explanation:if you multiply 12 and 8 you'll get 96 where when you multiply 16 and 10 you get 160

Assoli18 [71]2 years ago

4 0

Answer:

12 Laps in 8 minutes

Essentially these values are all fractions

8/12 and 10/16

If we simplify the values we get

2/3 and 5/8

In order to find which is greater we need to find the common denominator

3 and 8 have a common multiple of 24, so lets use that

16/24 and 15/24

Therefore making 2/3 larger.

Or 12 laps and 8 minutes

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Write a key word that means equal

FromTheMoon [43]

Answer: indistinct, alike equivelent

Step-by-step explanation:

8 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Take a factor out of the square root:

Nat2105 [25]

Answer:

See below.

Step-by-step explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18 = √(2*3*3)

= √9*√2

= 3√2.

6 0

2 years ago

It's on the image the question

ioda

Answer:

Ok, so I hope I understood the task. Here goes nothing

Step-by-step explanation:

So, first we calculate the area of the big rectangle,

(√63+√28)*√45 = 15√35

Then we calculate the area of the small rectangle

√7*√5 = √35

Then we do this to get the area left

15√35 - √35 = 14√35

Then we take

$14 \sqrt{35 } \div 15 \sqrt{35} = \frac{14}{15}$

That should explain it

4 0

2 years ago

What is the next term in the following series 1,1,2,3,5,8,_

Bezzdna [24]

This is the famous Fibonacci frequence. it's by adding the 2 terms in front. like 2 + 3, so the next term is 5. and 5+ 8, the next term is 13.

4 0

2 years ago