PLEASE HELP!!!

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

Answer:

the height of the building is 18.6 m

Step-by-step explanation:

using the Pythagorean theorem

a^2+b^2=C^2

a and b are the shorter legs while c is the hypotenuse

a=32, b=?, c=37

32^2+b^2=37^2

square the known numbers ( a and c)

1024+b^2=1369

subtract 1024 from both sides

b^2=345

square root both sides to cancel the square on b

b=18.5741756

Round if needed b=18.6m

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A^2(64a^2-3)/3=27-4a^2/4

frutty [35]

The answer is a = 3/4 = 0.75

First get rid of the paranthesis,
${a}^{2} (64 {a}^{2} - 3) = 64 {a}^{4} - 3 {a}^{2}$
Then set the denominators equal:
$\frac{ 256 {a}^{4} - 12 {a}^{2}}{12} = \frac{81 - 12 {a}^{2} }{12}$
Then remove the denominators and solve:
$256 {a}^{4} - 12 {a}^{2} = 81 - 12 {a}^{2}$
Eliminate -12a^2 by adding 12a^2 to both sides:
$256 {a}^{4} = 81$
Take the fourth root of them or take the square root twice:
$\sqrt[4]{256 {a}^{4} } = \sqrt[4]{81} \\ 4a = 3$
Divide both sides by 4:
$a = \frac{3}{4} = 0.75$

7 0

3 years ago

If f(x)=x-1/3 and g(x)=3x+1, what is (f o g)(x)?

BlackZzzverrR [31]

Answer:

$3x+\frac{2}{3}$