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Maslowich
3 years ago
12

Which equation finds the area of a square with a side length of 5n4 units?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0

Answer:

25n^8

Step-by-step explanation:

Area of a square is length×length

Length=5n^4

Area=5n^4×5n^4

=(5×5)(n^4+4)

=(25)(n^8)

=25n^8

So the area of a square is 25n^8

STALIN [3.7K]3 years ago
6 0
The answer is to this question is 25n^8
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Add the numbers from 1 to 100 by following the same steps you used in 1.
oksano4ka [1.4K]
Summaation of a sequence

or see a smaller scale
from 1 to 10
notice
1+10=11
2+9=11
etc
5+6=11
10/2=5
there are 5 pairs
5*11=55

so

1 to 100
1+100=101
2+99=101
...
50+51=101

100/2=50
there ar 50 pairs
50 times 101=5050

the sum is 5050
3 0
3 years ago
Please help me with this question.​
Stels [109]

Step-by-step explanation:

Mean of the origibal set = 20

No. of terms = 10

Sum = Mean x No. of terms

= 20 x 10 = 200

The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220

New Sum = 200 + 220 = 420

The no of terms stay the same

New Mean = New Sum/ N

= 420/10

= 42

7 0
2 years ago
(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.
Dahasolnce [82]

Answer:

The answer to your question is:    (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

                                           3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6  and -1

Then:

                                           3x² + 6x -1x − 2 = 0

Factorize                           3x (x + 2) - 1(x + 2) = 0

Factorize again                (x + 2)(3x - 1) = 0

Finally

                         x + 2 = 0               3x - 1 = 0

                         x = -2                     x = 1/3

                                                   

5 0
3 years ago
Simplify the ratio 300m:2km
Alexeev081 [22]

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

4 0
3 years ago
Read 2 more answers
To wash a window that is 7 meters off the ground, Roger leans a 9-meter ladder against the side of the building. To reach the wi
iren2701 [21]

Answer:

Roger should place the base of ladder approximately 5.7 m away from base of building to reach the window.

Step-by-step explanation:

Given,

Length of ladder = 9 m

We have to find that how far Roger should place the base of ladder to reach the window.

Solution,

We have drawn the diagram for your reference.

Here the building, the ladder on leaning with land makes a right angle triangle.

Where the length of ladder is 'hypotenuse'.

Height of window from the ground is 'one side of the triangle'.

And distance from base of building to the ladder is 'another side of the triangle'.

So, according to Pythagoras theorem;

"In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of other two sides".

On framing in equation form, we get;

c^2=a^2+b^2

Where 'a' = 1st side of right triangle =7 m

'b' = 2nd side of right triangle

'c' = hypotenuse = 9 m

Now we put the given values and get;

9^2=7^2+b^2\\\\81=49+b^2\\\\b^2=81-49=32\\\\b^2=32

Now taking square root on both side, we get;

\sqrt{b^2} =\sqrt32\\\\b=5.65\ m\approx5.7\ m

Hence Roger should place the base of ladder approximately 5.7 m away from base of building to reach the window.

5 0
3 years ago
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