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3 years ago

14

What is the percent uncertainty in the measurement 2.58 ± 0.15 cm?

1 answer:

saveliy_v [14]3 years ago

8 0

$\frac{0.15}{2.58} \times 100\% = 5.814\%$

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Simplify the expression: (3 − 7i)(2 − 5i).

Mandarinka [93]

Answer:

B

Step-by-step explanation:

3x2-3x5i-7ix2x7ix(-5i)

6-15i-14i+35i^2

6-15i-14i+35x(-1)

6-15i-14i-35

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Step-by-step explanation:

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B Survey a random sample of eighth-grade students

Step-by-step explanation:

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3 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

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$v =$

Required:

Calculate the angle between u and v

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For a vector

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$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

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$cos\theta = \frac{12-28}{|u|.|v|}$

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So;

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

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$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

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

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

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

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2 years ago

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Step-by-step explanation:

(4-16i) - (8+7i)

Distribute the minus sign

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Combine like terms

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