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Alenkinab [10]
3 years ago
13

Work out the value of 1. 7/2 -a ² 2. 3x-8 = 19

Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

1.   -45 1/2.

2.   x = 9.

Step-by-step explanation:

a/b - a^b   when a = 7 and b = 2

= 7/2 - 7^2

= 7/2 - 49

= -91/2

= -45 1/2.

3x - 8 = 19

3x = 19 + 8 = 27

x = 9.

ratelena [41]3 years ago
3 0
Yes it is very easy, but
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2 years ago
Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
NISA [10]

Answer:

\theta = 108.29

Step-by-step explanation:

Given

u =

v =

Required:

Calculate the angle between u and v

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cos\theta = \frac{2*6+4*-7}{|u|.|v|}

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For a vector

A =

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So;

|u| = \sqrt{2^2 + 6^2}

|u| = \sqrt{4 + 36}

|u| = \sqrt{40}

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|v| = \sqrt{65}

So:

cos\theta = \frac{-16}{|u|.|v|}

cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}

cos\theta = \frac{-16}{\sqrt{2600}}

cos\theta = \frac{-16}{\sqrt{100*26}}

cos\theta = \frac{-16}{10\sqrt{26}}

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Take arccos of both sides

\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})

\theta = cos^{-1}(\frac{-8}{5 * 5.0990})

\theta = cos^{-1}(\frac{-8}{25.495})

\theta = cos^{-1}(-0.31378701706)

\theta = 108.288386087

<em></em>\theta = 108.29<em> (approximated)</em>

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