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3 years ago

Which of the following is equivalent to this expression?

Mathematics

1 answer:

Aliun [14]3 years ago

6 0

Answer:

121

Step-by-step explanation:

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20pts PLZ HELP ASAP on questions 5 6 7 8

vaieri [72.5K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Solve the equation 2cosA = 3tanA

zavuch27 [327]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\\\\
-----------------------------\\\\

2cos(A)=3tan(A)\implies 2cos(A)=3\cfrac{sin(A)}{cos(A)}
\\\\\\
2cos^2(A)=3sin(A)\implies 2[1-sin^2(A)]=3sin(A)
\\\\\\
2-2sin^2(A)=3sin(A)\implies 2sin^2(A)+3sin(A)-2$

$\bf \\\\\\
0=[2sin(A)-1][sin(A)+2]\implies 
\begin{cases}
0=2sin(A)-1\\
1=2sin(A)\\
\frac{1}{2}=sin(A)\\\\
sin^{-1}\left( \frac{1}{2} \right)=\measuredangle A\\\\
\frac{\pi }{6},\frac{5\pi }{6}\\
----------\\
0=sin(A)+2\\
-2=sin(A)
\end{cases}$

now, as far as the second case....well, sine of anything is within the range of -1 or 1, so -1 < sin(A) < 1

now, we have -2 = sin(A), which simply is out of range for a valid sine, so there's no angle with such sine

so, only the first case are the valid angles for A

8 0

3 years ago

PLEASE JUST GIVE ME THE ANSWERS TO THE LAST TWO QUESTIONS

professor190 [17]

Super easy just add 2 in front of Na H CO3(s). Your formula will be balanced.

8 0

3 years ago

Multiply and reduce 3x^2(3x-6/x)

lianna [129]

Simplify the following:
3 x^2 (3 x - 6/x)

Put each term in 3 x - 6/x over the common denominator x: 3 x - 6/x = (3 x^2)/x - 6/x:
3 x^2 (3 x^2)/x - 6/x
(3 x^2)/x - 6/x = (3 x^2 - 6)/x:
3 x^2 (3 x^2 - 6)/x

Combine powers. (3 x^2 (3 x^2 - 6))/x = 3 x^(2 - 1) (3 x^2 - 6):
3 x^(2 - 1) (3 x^2 - 6)
2 - 1 = 1:
3 x (3 x^2 - 6)

Factor 3 out of 3 x^2 - 6:
3 x×3 (x^2 - 2)
3×3 = 9:
Answer: 9 x (x^2 - 2)

4 0

3 years ago

Brad buys two packages of mushrooms which mushrooms cost less per pound, $11.25 for 2/3 pounds and $7.99 for 1/2 pounds. Pls hel

Vsevolod [243]

Answer:

$7.99 for 1/2 pounds cost less per pound

Step-by-step explanation:

we know that

The unit rate is equal to divide the total cost by the total weight

step 1

Find out the unit rate of the first package

$11.25 for 2/3 pounds

The unit rate is

$11.25:\frac{2}{3}=\frac{33.75}{2}=\$16.875\ per\ pound$

step 2

Find out the unit rate of the first package

$7.99 for 1/2 pounds

The unit rate is

$7.99:\frac{1}{2}=\frac{15.98}{1}=\$15.98\ per\ pound$

therefore

The second package cost less per pound

6 0

4 years ago