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777dan777 [17]
2 years ago
6

The answer..............

Mathematics
1 answer:
ikadub [295]2 years ago
7 0

Answer:

x= 1/31

Step-by-step explanation:

it mental math

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Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?
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Keeping in mind that an hour is 60 minutes.

\bf \begin{array}{ccll}
\stackrel{acre}{grass}&\stackrel{minutes}{time}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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g&60
\end{array}\implies \cfrac{\frac{3}{8}}{g}=\cfrac{45}{60}\implies \cfrac{\frac{3}{8}}{\frac{g}{1}}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60}
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6 0
3 years ago
What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.
Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

\rm Altitude = \sqrt{xy}

Where x is DC and y is 5 units.

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\rm Altitude = \sqrt{xy}\\&#10;\\&#10;12 = \sqrt{(DC) \times 5}\\&#10;\\&#10;\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\&#10;\\&#10;

Squaring on both sides

\rm DC = \dfrac{144}{5}\\&#10;\\&#10;DC = 28.8

Considering right triangle BDC, use the Pythagorean theorem to find BC:

\rm BC^2 = DC^2+BD^2\\\\  BC^2 = (28.8)^2+(12)^2\\&#10;&#10;\\&#10;BC = \sqrt{829.44+144}\\&#10;\\&#10;BC = \sqrt{973.44}\\&#10;\\&#10;\rm BC = 31.2 \ units

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

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