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EastWind [94]
3 years ago
13

Judith is digging for sandstone at a geological site. She has 160 m of rope and four steaks to mark off a rectangular area. Whic

h set of dimensions or create a rectangle using all the rope Judith has with her?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

it is 640

Step-by-step explanation:

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How does adding the log together automatically mean that it is a factorial?
andreyandreev [35.5K]

Answer: The answer is given below.

Step-by-step explanation:  We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).

The proof is as follows:

L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.

Hence proved.

6 0
2 years ago
Solve the following system of equations algebraically:<br> 4x - 5y = 18<br> 3x – 2y = 10
fiasKO [112]

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

8 0
3 years ago
What is the factor of y^3-9y^2+y-9=0​
Mariana [72]

Answer:

Step-by-step explanation:Factor the left side of the equation.

Tap for more steps...

(

y

−

1

)

(

y

2

+

9

)

=

0

Set  

y

−

1

equal to  

0

and solve for  

y

.

Tap for more steps...

y

=

1

Set  

y

2

+

9

equal to  

0

and solve for  

y

.

Tap for more steps...

y

=

3

i

,

−

3

i

The solution is the result of  

y

−

1

=

0

and  

y

2

+

9

=

0

.

y

=

1

,

3

i

,

−

3

i

8 0
3 years ago
Evaluate the expression if g+2, r+3, and t=11.<br> g+6t
Ivahew [28]

Answer:

I think you copied this wrong

Step-by-step explanation:

Most likely g = 2

Therefore (2) + 6(11)

2+66=68

5 0
3 years ago
Mathematics hockey goals and assists each count as one point. anthony's ratio of goals to assists is 2:5. last season he collect
rosijanka [135]

Answer:

option c 26

Step-by-step explanation:

3 0
2 years ago
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