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3 years ago

In the given figure, AE/IBC, square ABCD and triangle EBC are standing a

Mathematics

2 answers:

Bond [772]3 years ago

6 0

The area of AEBC IS 36 cm 2 I think

prisoha [69]3 years ago

3 0

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

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Solve the following logarithmic equations.<br> ln(32x^2) − 3 ln(2) = 3

Kazeer [188]

Answer:

$x=\pm \frac{\sqrt{e^{3} } }{2}$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln(32x^{2} )-ln(2^{3})=3\\ ln(32x^{2} )+ln(\frac{1}{2^{3} } )=3\\ln(\frac{32x^{2} }{8})=3\\ ln(4x^{2} )=3$

Cancel logarithms by taking exp of both sides:

$e^{ln(4x^{2}) } =e^{3} \\4x^{2} =e^{3}$

Divide both sides by 4:

$x^{2} =\frac{e^{3} }{4}$

Take the square root of both sides:

$x=\pm \sqrt{\frac{e^{3} }{4} } =\pm \frac{\sqrt{e^{3} } }{2}$

6 0

3 years ago

The cube root of a number is 2. Write an equation, using x, that represents this situation.

Kay [80]

Answer:

x - 8 = 0

Step-by-step explanation:

Since, the cube root of a number is 2.

Let the number be x.

Therefore,

$\sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0$

5 0

3 years ago

Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much wil

Anika [276]

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal= $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

5 0

3 years ago

A right angled triangle has two side lengths of 14cm and 7cm. Work out the length of x

kati45 [8]

Answer:

15.65

Step-by-step explanation:

a^2+b^2=c^2

7^2+14^2=c^2

add 49+196=245

245=c^2

square root everything to get 15.65

6 0

4 years ago

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Montano1993 [528]

The answer is no

Hehe hi again. Remember to plug in the x and y values into the equations.

3 0

3 years ago