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3 years ago

The square ABCD has side length 20 cm,

Mathematics

1 answer:

bogdanovich [222]3 years ago

6 0

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm All sides of a square are equal

BE = 1/2 BC Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2 Perform the sqrs

AE^2 = 400 + 100 Add the terms

AE^2 = 500 Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

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Nastasia [14]

Answer:45 * t = 2.5 * (1-t)...the equation will have one solution.

Step-by-step explanation:

For this case, the first thing you should know is:

d: v * t

Where,

d: distance

v: speed

t: time

To go to school by bus we have:

d = 45 * t

To return from school we have:

d = 2.5 * (1-t)

how the distance is the same:45 * t = 2.5 * (1-t)

3 0

3 years ago

Read 2 more answers

If a = and b = -1 what is the value of ab -b^2

svet-max [94.6K]

Answer:

-2

Step-by-step explanation:

To solve you need to replace the variables with their numbers.

3(-1) - (-1^2)

-1 x -1 = -1

3 x (-1) = -3

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8 0

3 years ago

After the 4th half life how much of the sample is left if the mass is 100g.

vazorg [7]

Answer:

$\huge\boxed{\sf 6.25 \ g}$

Step-by-step explanation:

After every Half life , Half of the mass is left.

After 1st Half life = 100 g / 2 = 50 g

After 2nd Half life = 50 / 2 = 25 g

After 3rd Half life = 25 / 2 = 12.5 g

After 4th Half life = 12.5 / 2 = 6.25 g

$\rule[225]{225}{2}$

Hope this helped!

6 0

2 years ago

Solve 7n 6 4n-2=2n 2(4n 6)

scoray [572]

More information is required to answer the question correctly.

6 0

3 years ago

Find the length of CU, the triangles are similar.

Otrada [13]

Answer:

CU = 117

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{WC}{WU}$ = $\frac{CD}{UV}$

substituting in values to the ratios

$\frac{26}{36x-1}$ = $\frac{24}{132}$ ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117

3 0

3 years ago