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Lynna [10]
3 years ago
13

Darnell is trying to understand the Pythagorean Theorem by drawing a few triangles. He found that 1² + 1² = (√2)² is accurate. W

hich statement is true about Darnell’s triangle?
A. The triangle is not a right triangle because the lengths of its sides measure the same.

B. The triangle is not a right triangle because the hypotenuse is shorter that the lengths of its sides.

C. The triangle is a right triangle, the lengths of its sides are 1 and √2 with a hypotenuse of 1.

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

PLEASE HELP ASAP!!!!

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

Step-by-step explanation:

The Pythagorean Theorem is modeled by a² + b² = c².

c represents the hypotenuse and a and b represent the other two sides.

The Pythagorean Theorem can only be applied to right triangles.

Rudik [331]3 years ago
4 0

Answer:

D.

Step-by-step explanation:

Srry if your question was already answered but im very sure its D.

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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

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we know that

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we have

L=(10-2x)\ cm

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substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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