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3 years ago

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A royal family has 41.85 acres of land. They designate 3.35 acres for the main house and gardens, and plan to divide the remaini

ng land into 1.75 acre parcels to be distributed among members of the royal family. How many members will receive a parcel of land?

1 answer:

SashulF [63]3 years ago

5 0

Answer:

38.50 acres divided by 1.75 =22 members each get 1.75 acre plots.

Step-by-step explanation:

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3 3/4 times 25 divided by 60 equals

Phantasy [73]

Answer:

1.5625

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

$u =$

$v =$

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>

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2 years ago

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Kisachek [45]

Answer:

This would be shifted down 8 and made 3 times less steep.

Step-by-step explanation:

In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.

Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.

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