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Fantom [35]
3 years ago
9

If the volume of a sphere is 576 pi cubic units what is the radius

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
If the volume of a sphere is 576 pi cubic units, then the radius is 7.56. I arrived to this answer through solving first what is 576 (<span>π) which led me to the answer 1808.64. Then I solved for the radius through deriving the formula of a volume of a sphere to finding the radius. Thus, the final ansewr is 7.56 units. </span>
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Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 r
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4 0
3 years ago
When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r
Temka [501]

Answer:

8

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

8 0
3 years ago
aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86           .........1

Again

E = 2 × B                           ..........2

Again

A = B - 6                            ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴   B = \dfrac{92}{4}

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵  E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  . Answer

6 0
3 years ago
If ADE ABC in this diagram, which pair of ratios must necessarily be equal?
ad-work [718]

Answer:

\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}

Step-by-step explanation:

we know that

Triangle ADE and Triangle ABC are similar

therefore

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Answer:

<u>The correct answer is 1. Hurricanes</u>

Step-by-step explanation:

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7 0
3 years ago
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