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4 years ago

14

Alana spent $21 of her $150 paycheck on a gift. What percent of her paycheck was spent on the gift

2 answers:

REY [17]4 years ago

7 0

Divide $21 by her paycheck (150)
21/150=.14
.14=14%
She spent 14% of her paycheck on the gift

Helga [31]4 years ago

3 0

21/150=.14 or 14%. This is a good answer.

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Please help! It will be appreciated!

AysviL [449]

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Step-by-step explanation:

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4 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>

4 0

3 years ago

Help me pls what is 3(3)+1

drek231 [11]

Answer:its 10 :)

Step-by-step explanation:

4 0

3 years ago

-4+(5+6/-6×5)-2 extra stuff to ask question

natta225 [31]

Answer:

Step-by-step explanation:

-4 + (5+6/ -6 × 5) -2

Solve the brackets first!

-4 + (11/ -30) -2

Add the -4 and -2

-6 + (-11/30)

[If you meant -2 multiplied by (-11/30) then , something like this, If not then continue after the bracket!:

-4 + (11/15)

(-60+11)/15

-49/15 Answer ]

Now,

-6 -11/30

(-180-11)/30

-191/30

Hope this helps!

Please mark brainliest! Would really appreciate!

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3 years ago