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3 years ago

A family pays $34.56 for souvenirs on vacation if the sales tax is 7.5% what is the total amount the family spent on souvenirs

Mathematics

2 answers:

Harman [31]3 years ago

7 0

Answer: $37.15

Step-by-step explanation:

lisabon 2012 [21]3 years ago

5 0

$31.958

Step-by-step explanation:

I'm not sure guys if that's right answer

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Help for math class. $3.27/12 pack of Pepsi

nevsk [136]

The answer to this is 0.2725

3 0

3 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

A club swimming pool is 21 ft wide and 33 ft long. the club members want an exposed aggregate border in a strip of uniform width

vovangra [49]

First compute the perimeter of the pool:
(21+33)*2=108 foot.
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1

The trip can be 2.1 ft in wide.

5 0

3 years ago

Find the area. 1m 2.1m and 0.9m

Elina [12.6K]

Just multiply w*l*h
1.89m cubed

6 0

3 years ago

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

irina [24]

Answer:

Step-by-step explanation:

USing SOH CAH TOA

sin theta = opposite/hypotenuse

sin <X = WV/VX

sin <X = 8/9

<X = arcsin(8/9)

<X = arcsin(0.8889)

<X = 62.7 degrees

Hence the value of x is approximately 63degrees

7 0

2 years ago