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3 years ago

Please Help Me!! I can’t figure this out!!

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer:

a=12 ft, b=12 ft

Step-by-step explanation:

-Length A and length B are equal since the right angle triangle is also an isosceles triangle.

-We use the Law of sines to calculate the two lengths:

$\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft$

Hence, length a is equal to length b which is equal to 12 ft

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Approximate the data using the line y = 0.25x + 3. Find the data point that has the residual with the greatest absolute value. G

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In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Keven is buying a handbag priced at 220

marshall27 [118]

Keven paid a sales tax of $ 18.15 for handbag purchase

Solution:

Given that stores charge a 4.6% state sales tax and a 3.65% county sales tax

Keven is buying a handbag priced at 220 before tax

To find: Sales tax paid by Keven

Sales tax amount = state sales tax amount + country sales tax amount

Finding state sales tax amount:

stores charge a 4.6% state sales tax which means 4.6 % of $ 220

state sales tax amount = 4.6 % of 220

$\text{ state sales tax amount }= \frac{4.6}{100} \times 220$

$\text{ state sales tax amount }= 0.046 \times 220 = 10.12$

Thus state sales tax amount is $ 10.12

Finding country sales tax amount:

Store charges a 3.65% of country sales tax which means 3.65% of $ 220

Country sales tax = 3.65 % of 220

$\text{ Country sales tax } = \frac{3.65}{100} \times 220\\\\\text{ Country sales tax } = 0.0365 \times 220 = 8.03$

Thus country sales tax = $ 8.03

Now let us add both amount to get total tax paid by Keven

Sales tax amount = state sales tax amount + country sales tax amount

Sales tax amount = $ 10.12 + $ 8.03 = $ 18.15

Therefore Keven paid a sales tax of $ 18.15 for handbag purchase

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