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3 years ago

- 4b/19 = 32/19 What does b equal

Mathematics

2 answers:

Oliga [24]3 years ago

5 0

The /19 canceles out on both sides and 32/-4=-8 so b=-8

bearhunter [10]3 years ago

3 0

-4b/19=32/19

answer: b= -8

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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.

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

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

3 0

4 years ago

A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)

Ainat [17]

Answer: the wise man is 79

Step-by-step explanation:

400 - 3x = 163

400–163 =3x

237 = 3x or 3x = 237 or x = 79…

8 0

3 years ago

Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee

Ganezh [65]

Answer:

x^ -10 or 1/x^10

Step-by-step explanation:

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4 years ago

A city's population is 12,000 and grows at 2.6% rate. What will the population be after 25 years? A city's population is 230,000

Levart [38]

Answer:

The 12000 City would become 22,986 people, while the 230,000 city would become a population of 124,223.

Step-by-step explanation:

1st Part:

=12000⋅(0.026000000000000002⋅25)

=12000(2.718281828459045)(0.65)

=22986

2nd Part:

=230000⋅(−0.044000000000000004⋅14)

=230000(2.718281828459045)(−0.616)

=124223

3 0

3 years ago

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What are the zeros of the quadratic expression 3x2 - 6x - 24?

sammy [17]

Answer:

3(x−4)(x+2)

Step-by-step explanation:

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3 years ago