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alexandr1967 [171]
3 years ago
9

The expression a[b+(c−d)]

Mathematics
1 answer:
maria [59]3 years ago
5 0

Answer:

A

Step-by-step explanation:

When you distribute values, 'a' while be multiplied by everything. since there is a plus sign in front of the 'b' then that will not be distributed. so an 'ab' will add the an 'ac' but an 'ad' is still going to subtract away from the equation.

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The answer is n= -19/3
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All right at least two equivalent expressions for: 3a + 12
densk [106]
<span>two equivalent expressions for: 3a + 12

3(a + 4)
2a + 12 + a

hope that helps</span>
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PLEASE HELP! URGENT WILL GIVE BRAINLEST! PLEASE ANSWER ALL QUESTIONS!!! IF YOU DON'T I WILL REPORT.
Nesterboy [21]

Answer:

1.  b)  135°, 225°

2.  c)  0°, 180°

3.  a)  π/2

4.  b)  30°, 150°, 210°, 330°

5.  a)  1.25 radians and 4.39 radians

Step-by-step explanation:

<u>Question 1</u>

\begin{aligned}\cos \theta & = -\dfrac{\sqrt{2}}{2}\\\implies \theta & = \cos^{-1}\left(-\dfrac{\sqrt{2}}{2}\right)\\\\& = 135^{\circ} \pm 360^{\circ}n, 225^{\circ} \pm 360^{\circ}\\\\& = 135^{\circ}, 225^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 2</u>

\begin{aligned}\cos^2 \theta-1 & = 0\\\implies \cos^2 \theta & = 1\\\cos \theta & = \pm1\\\theta & = \cos^{-1}(\pm1)\\& = 0^{\circ} \pm 360^{\circ}n, 180^{\circ} \pm360^{\circ}n\\& = 0^{\circ}, 180^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 3</u>

\begin{aligned}\sin \theta & = 1\\\implies \theta & = \sin^{-1}(1)\\\theta & = \dfrac{\pi}{2}\pm2\pi n\\\theta & = \dfrac{\pi}{2}\quad \textsf{for}\:0 \leq \theta < 2 \pi \end{aligned}

<u>Question 4</u>

\begin{aligned}3 \tan^2 \theta-1 & = 0\\\implies \tan^2 \theta & = \dfrac{1}{3}\\\tan \theta & = \pm\dfrac{1}{\sqrt{3}}\\\theta & = \tan^{-1}\left(\pm\dfrac{1}{\sqrt{3}}\right)\\& = 30^{\circ}\pm180^{\circ}n, 150^{\circ}\pm180^{\circ}n\\& = 30^{\circ}, 150^{\circ}, 210^{\circ}, 330^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 5</u>

\begin{aligned}2 \tan \theta -6 & = 0\\\implies \tan \theta & = 3\\\theta & = \tan^{-1}(3)\\\theta & = 1.25\pm \pi n\\\theta & = 1.25, 4.39 \quad \textsf{for}\:0^{\circ}\leq \theta < 2 \pi \end{aligned}

5 0
2 years ago
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laiz [17]

Answer:

The correct answer is 6 jars can be used

Step-by-step explanation:

According to the given scenario, the calculation of the number of jars needed is shown below:

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And, the paint is divided into 1 ÷4  liter jars

So, the number of jars needed is

= (3 ÷ 2) ÷ ( 1 ÷ 4)

= (4 × 3) ÷ 2

= 6 jars needed

Therefore the number of jars needed is 6 jars

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Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

4 0
3 years ago
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