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inna [77]
3 years ago
15

Which expressions correctly shows the Substitution property?

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

The correct answers are:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

13 + 3 ÷ 3 = 13 + 1

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

Let's look into them one by one:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

As anything multiplied by one will not have changes in value, this is correct.

13 + 3 ÷ 3 = 13+(3÷3) = 13 + 1

As 3÷3 is 1,this is also correct.

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

As anything plus zero will not have a chnage in value, this is correct.

The incorrect option:

13 + 3 ÷ 3 ≠ 16 ÷ 3

Unless there are brackets indicating addition has to be done first, devision comes before addition hence this is not correct.

Hope it helps!

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3 years ago
I need these missing blanks please..
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A mad scientist has captured you and is showing you around his foul-smelling laboratory. He motions to an opaque, formalin-fille
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8 0
3 years ago
Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much
gladu [14]

Answer:

76˚

Step-by-step explanation:

All angles of a triangle total up to 180˚ so we can make this equation:

x - 14 + 1/2x + 7 + 2x - 128 = 180

3.5x - 135 = 180

3.5x = 315

x = 90

Angle A is x - 14

90 - 14

76

6 0
3 years ago
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