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Evgesh-ka [11]
3 years ago
7

Which statement about is true

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

\tan( \alpha )  =  \frac{8}{15}

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pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base
kaheart [24]

Answer:

  First "order of operations" mistake: step 2

  First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

  \left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}

for x = -1 and y = 2.

Her work seems to be ...

<u>Step 1</u>

  \text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}

<u>Step 2</u>

  \text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}

<u>Step 3</u>

  \text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}

<u>Step 4</u>

  \text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

  \left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}

__

We expect your answer is supposed to be Step 4.

7 0
3 years ago
:D hiiii im back with another most likely easy questionnnnnnnnnnnnnnnnnnnnnn
mihalych1998 [28]

Answer: The answer is 75

20/4=5

5*15=75

5 0
2 years ago
Read 2 more answers
Sally dug a hole 5 feet deep to plant roses. She
ikadub [295]

Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

therefore, the roses are closest to the surface.

8 0
2 years ago
If ABC is a straight line and angle CBD=119
Nonamiya [84]

Hello this is not question .

5 0
2 years ago
Explain how you would answer 3 - (-5)
Margarita [4]

Answer:

3- (-5) + -2.

Step-by-step explanation:

Anything plus a negative number will either make that negative number go closer to zero, or turn into a positive number.

3 0
2 years ago
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