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3 years ago

14

Furniture store is having a sale where everything is 40% off.Write a function that represents the amount of discount d on an ite

m with a regular price p
p

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

d = .4p

Step-by-step explanation:

Discount = original price * discount rate

We know the discount rate is 40%

original price is p

discount = d

d = p*40%

Changing this to decimal form

d = .4p

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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.

Dmitry [639]

Note that
$\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}$

Note that
$x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }$

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

Therefore
$tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} = \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )} = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}$

Answer: 2 + √3

8 0

3 years ago

Explain how the Quotient of Powers was used to simplify this expression. = 22 By finding the quotient of the bases to be , and c

9966 [12]

the correct question in the attached figure

(2^5)/8=2^2

we have

8----------- >2^3

(2^5)/8----------- > (2^5)/(2^3)=2^(5-3)=2^2

therefore

2^2=2^2-- ------> is ok

the answer is by simplifying 8 to 2^3 to make both powers base two and subtracting the exponents

5 0

2 years ago

What is 31,830,000 written in scientific notation?

11Alexandr11 [23.1K]

Answer:

3.183.10^7

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the measure of the angle theta

Vlad [161]

Answer:

theta = 48.190

Step-by-step explanation:

Answer: θ = 48.2°

Step-by-step explanation:

The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3

rounded to three significant digits = 48.2°

7 0

2 years ago

Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The

Lorico [155]

<h3><u>Given</u>:-</h3>

Volume 6,900 cm^3
Length = 23 cm
Width = 10cm

<h3><u>To Find</u>:-</h3>

Height of box ??

<h3><u>Solution</u>:-</h3>

$\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\; of \; box :-}}}}\\$

$\\ \pink \star \: \: {\underline{\boxed {\bf{ Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h }}} }\; \red\bigstar \\$

Where,

» l denotes Length
» w denotes Width
» h denotes Height

$\\ \sf \implies \: {Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 23 \: \times \: 10 \: \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 230 \: \times \: h} \\$

$\\ \sf \implies \: { \: h \: = \: \frac{6900}{230} \: } \\$

$\\ \sf \implies \: { \: h \: = \: 30 \: {cm }^{3} \: } \\$

$\\ \implies{\underline{\boxed{\frak { Height = 30 \: cm^3 }}}} \; \purple\bigstar \: \\$

$\\\qquad \rule{120pt}{3pt}\\$

Therefore , the Volume of the Box is 30 cm ³.

5 0

1 year ago