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3 years ago

If asked to solve an oblique triangle and you are given only the three angles, it would be best to use the Law of Cosines.

Mathematics

1 answer:

Art [367]3 years ago

6 0

The answer is trueeee

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

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

The domain for x is all real numbers greater than zero and less than 5 com

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

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

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

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

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

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

5 0

3 years ago

10 points please help

jolli1 [7]

6* 8.4
7* 3.5
8* -6
9* 10.899
10* 11.1
11* 2.4
12* 0.06
13* 2.2
14* 15.2
15* 11.7
16* -3.4

explanation: Sorry i couldn’t finish and i hope these are correct! I’m not that good at math but good luck

4 0

3 years ago

Line A is represented by the equation given below:

MrMuchimi

To have infinitely many solutions they must describe the same line. So any multiple or fraction of the reference line would indeed describe the same line, and thus "intersect" at each and every of an infinite number of points.

2(x+y=4)

2x+2y=8 (is the same line as x+y=4)

4 0

3 years ago

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Leo sold 31 pieces of pottery at the Market. He sold half as many vases as plates. He sold 16 bowls. How many of each kind did L

never [62]

31 vases 63 plates and 19 bowls

8 0

3 years ago

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Cuanto es 8/9 x 15/16? porfaAa estoy en prueba

iren [92.7K]

Answer: