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crimeas [40]
3 years ago
7

1.7.PS-6

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:africa

Step-by-step explanation:

science

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The sides of a triangle are 30, 18, and 24. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
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a right triangle

is equal to

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Pythagorean's theorem is a²+b²=c² with c being the longest sides. If it is true then it is a right triangle.

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324+576=900

This is true so the triangle is a right triangle

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Write a function rule that represents the situation.
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Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded
Anna11 [10]
Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x=[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x

so f(x)=4 x^{3}-260x^{2}+4000x

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

f'(x)=12x^{2}-520 x +4000=0

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

x=10 and x=33.333

plug in f(x) these values to see which greater:

f(10)=(80-20)(50-20)10=60*30*10=18000 cm cubed

f(33.333)=(80-66.666)(50-66.666)33.333= which is negative because (50-66.666)<0



Answer: 18000 cm cubed

5 0
3 years ago
Read 2 more answers
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