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3 years ago

8

Expressions in brackets should always be calculated first. If there are no brackets in an algebraic expression, it means that mu

ltiplication and division must be done first, and addition and subtraction afterwards.

1 answer:

Anna35 [415]3 years ago

4 0

Answer:

This statement is true

Step-by-step explanation:

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Вычислите: 1) 1/2×2/3×3/4-2/3×3/4×4/5-3/4×4/5×5/6

malfutka [58]

Answer:

= -13 / 20

Step-by-step explanation:

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3 years ago

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.

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

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

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3 years ago

A coin is biased to display heads 75% of the time . It’s tossed 20times and the out comes are recorded the most improbable simul

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Multiply the number of tosses by the percent of heads:

20 tosses x 0.75 = 15

The answer is 15.

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