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MissTica
3 years ago
8

How do you simplify the following

Mathematics
1 answer:
Fed [463]3 years ago
8 0
It is 2i I standing for imaginary since it is a negative

square root of -1×4

4 square rooted is 2

and a negative number square rooted is i
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What number do the blocks represent? Write your answer as a decimal. ​
evablogger [386]

Answer:

3.303

Step-by-step explanation:

6 0
3 years ago
ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square
dezoksy [38]

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

4 0
3 years ago
What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?
sineoko [7]

To solve this problem, we should remember that the percentile rank of a single value is the rank of that value in the series of data set when that data set is arranged in ascending order.

Therefore arranging the data set, gives the sequence:

5581, 5700, 5700, 5896, 5972, 5993, 6075, 6274, 6283, 6381

<span>Since we are to find the 30th percentile (30 %) and there are a total of 10 values, therefore the 30th percentile is:</span>

10 * 30% = 3

<span>This means we look for the 3rd number in the ordered sequence.</span>

<span>
</span>

<span>Answer: 5700 is the 30th percentile of the series</span>

7 0
4 years ago
Read 2 more answers
chest volume is 8100 cubic inches the length is 30 inches and the width is 15 inches how tall will the chest be
romanna [79]

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

4 0
3 years ago
Two large topping pizzas cost $25.00. what is the constant of proportionality (k)?
Gemiola [76]
2k = 25

Divide 2 on each side

k = 12.5

Each pizza would cost $12.50

Hope this helps!

5 0
4 years ago
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