5 The width of this rectangle is of the length. Find the

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

Answer:

4 in.

Step-by-step explanation:

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a strip of paper is 9/10 of an inch long. you need to cut the paper into 3/12 inch pieces. how many pieces will you be able to c

e-lub [12.9K]

We have to divide 9/10 by 3/12.

if we divide by a fraction, we can instead multiply by it's inverse:

$\frac{9}{12}/ \frac{3}{12} = \frac{9}{12} * \frac{12}{3}$

so now we count:

$\frac{9}{12} * \frac{12}{3} =\frac{9}{1} * \frac{1}{3}=3$

so we can cut exactly 3 pieces!

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3 years ago

HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid

aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

$V=\frac{s^2h}{3}$

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

$a^2=b^2+c^2$

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

$a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h$

Then, you can find the height:

$(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm$

Then, knowing that:

$s=23mm\\h=23.318mm$

You can calculate the volume:

$V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3$

3 0

3 years ago

I need help! Find the measure of all sides. Round to the nearest tenth.

Ivanshal [37]

Answer:

$let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396$