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3 years ago

What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units?

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

Use the pythagorean theorem (a^2 + b^2 = c^2)

4^2 + 4^2 = c^2

16+ 16 = c^2

32 = c^2

sqrt(32) = c

The third option you have listed is the right answer (its 4sqrt(2) simplified)

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LiRa [457]

Answer:

$1,334.5 \: {cm}^{3}$

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

$V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3}$

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3 years ago

What is the inverse of the function g(x) = x^3/8 + 16 ?

lesya692 [45]

Answer:

$\hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\$

• let f(x) be m:

${ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\$

• make x the subject of the function:

${ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}$

• therefore:

${ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\$

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3 years ago

Gordon can type 800 words in 5

qwelly [4]

Answer: hewo, your answer is below

160 wpm is the correct answer

Step-by-step explanation:

Hope this helps !!!

Have a great day !!!!

Plz Mark branilest ^w^

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poizon [28]

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tangare [24]

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