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2 years ago

13

For triangle ABC with sides a,b and c the law of cosines states

1 answer:

grigory [225]2 years ago

6 0

Answer:

SAS

Step-by-step explanation:

Looking for the third side given the other two sides and the angle between them

c² = a² + b² - 2abcosC

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Find the median of the following numbers:<br> 26, 18, 28, 26, 14, 20

Lady_Fox [76]

Answer:

23

Step-by-step explanation:

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3 years ago

F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>

aksik [14]

Answer:

1.8

Step-by-step explanation:

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3 years ago

Read 2 more answers

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

The angle $\theta$ is calculated as thus:

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

For a vector

$A =$

$A = a * b$

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

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

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

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

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

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

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

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

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

$|v| = \sqrt{65}$

So:

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

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

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

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

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

$cos\theta = \frac{-8}{5\sqrt{26}}$

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>

4 0

2 years ago

Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 14 hours and traveled 840 miles. At wh

katovenus [111]

Answer:

A

Step-by-step explanation:

He traveled at a rate of 60MPH

8 0

3 years ago

Plot the zeros of this function:<br><br> f(x) = (x – 1)(x – 7).

vredina [299]

Answer:

$\boxed{\mathrm{view \: attachment}}$

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

$f(x) = (x - 1)(x - 7)$

Let output equal to 0.

$0 = (x - 1)(x - 7)$

Set factors equal to 0.

$x-1=0\\x=1$

$x-7=0\\x=7$

The zeros of the function are $x=1$ and $x=7$ .

5 0

3 years ago