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Anastaziya [24]
2 years ago
7

Volume with fractions 3 28 points

Mathematics
1 answer:
solniwko [45]2 years ago
6 0

Answer:

9 1/3 or 28/3 cm³

Step-by-step explanation:

Volume of rectangular prism is Bh, where B = Area of the Base and h = height.

Area of the Base:

  • 2*\frac{7}{3}
  • \frac{14}{3}

Area of Base x Height:

  • \frac{14}{3} *2
  • 28/3 or 9 \frac{1}{3}

Therefore, the answer is 28/3 or 9 1/3 cm³.

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c=70.65msquare

c=7065/1oo

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Mice and Pain Can you tell if a mouse is in pain by looking at its facial expression? A new study believes you can. The study1 c
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1. a) Null hypothesis: There is <em>no</em> statistically significant relationship between the mouse grimace scale and the amount of pain felt by mouse.

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How many solutions does this system of equations have?
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Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

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\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

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2 years ago
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