Ask question

Ask question

All categories

2 years ago

15

- The food bill for your breakfast is $16.85. You leave a 10% tip. The sales

1 answer:

postnew [5]2 years ago

7 0

Answer:

$19.38

Step-by-step explanation:

You might be interested in

The energy saved by recycling one glass bottle is enough to power a washing machine for 10 minuets. How many recycled glass bott

Mrac [35]

There are 60 minutes in one hour.
Divide 60 minutes by 10 minutes.

You get 6. That means you would need 6 recycled bottles to power a washing machine for one hour (that will be awesome if that were the case).

Have an awesome day! :)

4 0

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

PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.

nevsk [136]

Answer:

3,2,1,6,5,4

Step-by-step explanation:

Hope this helps!!!

4 0

2 years ago

37.5% written as a decimal and as a fraction in simplest form

Angelina_Jolie [31]

$p\%=\dfrac{p}{100}\\\\37.5\%=\dfrac{37.5}{100}=\dfrac{37.5\cdot10}{100\cdot10}=\dfrac{375}{1000}\\\\\dfrac{375}{1000}=\dfrac{375:125}{1000:125}=\dfrac{3}{8}\\\\\dfrac{375}{1000}=0.375\\\\Answer:\ \boxed{37.5\%=\dfrac{3}{8}=0.375}$

7 0

3 years ago

Read 2 more answers

What is the measure of angle D

Ugo [173]

Answer:

52 degrees

Step-by-step explanation:

A triangle's angles all add up to 180 degrees so we can create this equation:

x + 20 + 3x + 32 = 180

Combine like terms.

x + 3x + 20 + 32 = 180

4x + 52 = 180

Subtract 52 from both sides.

4x = 128

Divide.

128 / 4 = 32

x = 32

Plug in the value of x.

x + 20

32 + 20

52

Angle D is equal to 52 degrees.

Please inform me of any mistakes.

7 0

2 years ago