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laiz [17]
3 years ago
15

A department store offered a 6% percent on all small appliances. They also stated that the first 50 customers would receive an a

dditional 3% discount off the sale price. If you plan to purchase a Vitamix that sells for $450 and you are among the first 50 customers, what will your total
discount be (a) in dollar amount and (b) in percent
Mathematics
1 answer:
fredd [130]3 years ago
7 0

A= 410.31$

B= 9.6% decrease of original price

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Hey guys can anyone help me find the missing side length pls and ty
Tcecarenko [31]

\bold{\huge{\green{\underline{ Solution}}}}

\bold{\underline{ Given :- }}

  • <u>We </u><u>have </u><u>given </u><u>a</u><u> </u><u>right</u><u> </u><u>angled </u><u>triangle </u><u>whose </u><u>values </u><u>are </u><u>m</u><u>, </u><u> </u><u>n </u><u>and </u><u>2</u><u> </u>

\bold{\underline{ To \: Find :- }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>m </u><u>and </u><u>n</u>

\bold{\underline{ Let's \: Begin :- }}

<u>In </u><u>the </u><u>given </u><u>right </u><u>angled </u><u>triangle</u><u>, </u><u>we </u><u>have </u>

  • Perpendicular height = n units
  • Base = 2 units
  • Hypotenuse = m units

<u>Now</u><u>, </u><u> </u><u>By </u><u>using </u><u>trigonometric </u><u>ratios </u>

\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}

\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}

\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}

<u>According </u><u>to </u><u>the </u><u>question </u><u>:</u><u>-</u>

\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}

\bold{ 1/√2= }{\bold{\frac{2}{m}}}

\bold{\red{ m = 2√2 \: units }}

  • <u>We </u><u>know </u><u>that </u><u>,</u><u> </u><u>Sum </u><u>of </u><u>Angles</u><u> </u><u>of </u><u>triangle </u><u>is </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>.</u>

<u>Therefore</u><u>, </u>

Let the unknown angle be x

\sf{ 45° + x + 90° = 180° }

\sf{ x = 180° - 135 °  }

\sf{ x = 45°   }

<u>Now</u><u>, </u>

\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}

\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}

\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}

\bold { n = 2√2/√2  }

\bold{\red{ n = 2\: units }}

Thus, The value of m = 2√2 and n = 2

\sf{\blue{ Hence, \: option \: D \: is \: Correct }}

5 0
2 years ago
Read 2 more answers
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Scrat [10]

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

7 0
3 years ago
I really need help if you explain I will give brainliest
Troyanec [42]
Since the ratio of sides is 4 to 3, the proportion is:

\frac{4}{3} = \frac{12}{x}

x = 9
6 0
3 years ago
the equation of a wave is given as y=0.5sin(3πx + 50πt). when x and y are in metres and t is in seconds. Find the amplitude, the
Crazy boy [7]

if they are optional

all are correct

<h3>step by step instructions:</h3>

Correct option is

D

All are correct

the equation of a given progressive wave is

y=5sin(100πt−0.4πx) ......(i)

The standard equation of a progressive wave is

y=asin(ωt−Kx) ...(ii)

Comparing (i) and (ii), we get

a=5m,ω=100π rad s

−1

,k=o.4πm

−1

도움이 되기를 바랍니다. :)

좋은 하루 되세요 :)

가장 똑똑한 것으로 표시 :)

4 0
3 years ago
Writing equations of lines
Valentin [98]

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

7 0
3 years ago
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