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3 years ago

Which two consecutive whole numbers is the value of √21 between?

Mathematics

2 answers:

aniked [119]3 years ago

6 0

The answer is: [A]: " 4 and 5 " .
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Explanation:
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Looking at the answers:
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we know that 4² = 16 ; and 5² = 25 ;

So: √16 = 4 ; and √25 = 5.

So: √21 must be between √16 and √25 ;

That is: √21 must be between 4 and 5 ; which is answer choice: [A] .
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madreJ [45]3 years ago

4 0

The perfect squares on either side of 21 are 16 and 25 of which the roots are:

4 and 5

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The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. what is the volume of the cube?

8090 [49]

The volume of a pyramid is 1/3 the volume of the cube mentioned in the question since it fits exactly inside it. So multiply 49*3 = 147 cubic feet

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3 years ago

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Find the missing length indicated

Anna71 [15]

Answer:

Step-by-step explanation:

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Write a linear equation given the point and slope or two points.

attashe74 [19]

Answer:

1) y = -2x - 1

2) y = -3/4 + 3

3) y = 4x + 9

4) y = - 5/3x - 2

Step-by-step explanation:

b = y - m*x

1) (-7,13) and slope: -2

b = 13 - (-2)*(-7)

b = 13 - 14

b = -1

2) (4,6) lope = -3/4

b = 6 - (-3/4)*(-4)

b = 6 - 3

b = 3

y = -3/4x + 3

3) (-5,-11) and (3,-7)

Slope: (1 - - 11)/(-2 - - 5) = 12/3

= 4

b = -11 - (4) (-5) = 9

b = 9

4) slope = (-7 - 8)/(3- - 6)

= -15/9 = - 5/3

b = 8 - (-5/3)*(-6)

b = 8 - 10

b = -2

5 0

2 years ago

PLEASE HELP

jeka94

Let us try A

If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points

Now moving onto B

If x = -3, then y =-81-27+36-3-1=76

If x= -1 , then y=-1-1+4-1-1=0

If x =0, then y=-0-0+0-0-1=-1

If x =1, then y= -1+1+4+1-1=4

Thus it is also not the polynomial with given point.

Now onto c

x= -3 , y=81+27-36+3+1=76

x=0, y = 0+0+0+0+1=1

x= -1 , y = 1+1-4+1+1=0

x=1 , y= 1-1-4-1+1=-4

x=2, y=16-8-16-2+1=-9

Hence C is the polynomial of given points

4 0

3 years ago

A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?

grin007 [14]

<h3>Answer: 220 combinations</h3>

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Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

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You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\$

As you can see, we get the same result and note how 1320/6 is also present as well.

8 0

3 years ago

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