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3 years ago

5. Write the number 81 as a power with a base of 3 and a base of 9.

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

3^4 and 9^2

Step-by-step explanation:

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If the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.

Sonbull [250]

Answer:

As Per Provided Information

Length of diagonal of square is 4√2 cm

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

$\boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}$

On substituting the value in above formula we obtain

$\qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm$

Therefore,

Length of its side is 4 cm.

Finding the perimeter of square.

$\boxed{\bf \: Perimeter_{(Square)} = 4 \times side}$

Substituting the value we obtain

$\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm$

Therefore,

Perimeter of square is 16 cm .

Finding the area of square .

$\boxed{\bf \: Area_{(Square)} = {side}^{2}}$

Substituting the value we get

$\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2}$

Therefore,

Area of square is 16 cm².

3 0

2 years ago

The coordinates of the point that is a reflection of Y(-4,-2) across the x-axis are what. The coordinates of the point that is r

Andreas93 [3]

Answer:

Step-by-step explanation:

across x axis:(-4,2)

across y-axis:(4,-2)

6 0

3 years ago

Robert gets a lone from his bank. he agrees to borrow £6000 at a fixed annual simple interest rate of 7%. He also agrees to pay

Natali5045456 [20]

Answer:

£10200

Step-by-step explanation:

£6000x7%= £420

£420x10= £4200

£6000+£4200= £10200

4 0

4 years ago

We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class int

stich3 [128]

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

3 0

3 years ago

Anyone else wanna talk? or be friends?

creativ13 [48]

Answer:

55.4176955.4176955.4176955.41769

Step-by-step explanation:

8 0

3 years ago