4. What’s the answer to this question please

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

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The base of a prism is a right triangle with a base and height measurement of 12cm and a 5cm. If the volume of the prism is 210c

bezimeni [28]

Answer:

The height is 7 cm

Step-by-step explanation:

210 × 2 = 420

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420 ÷ 60 = 7

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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
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sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

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Write a fraction that is less than 5/6 but has a denomator of 8

grigory [225]

1/8 i think it is good bye

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What is 117/320 simplified to a mixed fraction

Alex

Answer:

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