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yawa3891 [41]
3 years ago
10

In California, state sales tax rates vary by county. In Alameda County, the sales tax rate is 8 1/2%.

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0
The tax is 8.5%.
To find the tax on an item, multiply 8.5% by the price of the item.

t-shirt:
8.5% of $12.99 = 8.5% * $12.99 = 0.085 * $12.99 = $1.10
The tax on the t-shirt is $1.10

pair of jeans:
8.5% of $39.99 = 8.5% * $39.99 = 0.085 * $39.99 = $3.40
The tax on the jeans is $3.40

The difference in the amount of tax is

$3.40 - $1.10 = $2.30

Answer: $2.30
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In △ABC, ∠ABC = 60○
Temka [501]

A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.

A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is 180^{o}.

In the given question, point P is such that <APB = <APC = <BPC = 120^{o}. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

<ABP = 30^{o}

Thus,

<ABP + <APB + <BAP = 180^{o}

30 + 120 + <BAP = 180^{o}

<BAP = 180^{o} - 150

<BAP = 30^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

\frac{AP}{Sin B} = \frac{BP}{Sin30}

\frac{8}{Sin30} = \frac{BP}{Sin 30}

BP = \frac{8*Sin30}{Sin 30}

     = \frac{4}{0.5}

BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

#SPJ1

8 0
1 year ago
Which of the following is not a reason used in this proof?
Komok [63]

Answer:

Reflexive

Step-by-step explanation:

Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof

8 0
2 years ago
If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E
alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows:  MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.  

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that  math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that  math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e.  The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0
3 years ago
A snail can travel 390 inches in 5 hours.<br> How far does it travel in 1 hour?
puteri [66]
78, divide 390 by 5 which equals 78
8 0
2 years ago
Read 2 more answers
Select the correct answer.
Alex787 [66]

Answer:

A) y=3/2x-12

Step-by-step explanation:

Slope intercept formula is y=mx+b

mx is the slope.

B is the y intercept

8 0
2 years ago
Read 2 more answers
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