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seraphim [82]
3 years ago
5

a suit is on sale for 154$ . If the original price of the suit is $440, what percent was discounted for the sale

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0
I think your looking for 65% ?
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Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!​
kvasek [131]

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin(\frac{x+y}{2} )sin(\frac{x-y}{2} ) = 2sin(\frac{x+y}{2} )sin(\frac{y-x}{2} )

cos x + cos y = 2cos(\frac{x+y}{2} )cos(\frac{x-y}{2} )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2})  }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2})  } ← cancel 2 from numerator/ denominator

= \frac{sin45}{cos45} × \frac{sin35}{cos35}

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

5 0
3 years ago
Read 2 more answers
20 points <br><br> What do you remember about types of angles?
Allushta [10]

An acute angle is one that measures LESS than 90˚

An obtuse angle is one that measures between 90˚ and 180˚

A reflex angle is an angle that measures between 180˚ and 360˚

There are other many types of angles such as alternate angles and corresponding angles, but those 3 are the main ones.

Have a great day <3

8 0
3 years ago
What are the steps to solving this limit?
patriot [66]

Answer:

lim(x---->0) = -5

Step-by-step explanation:

first: sin(x-π/2)= -cosx

so the equation will be :

lim(x---->0) = [-6cos(ax)-1}/cosx

solve :

lim(x---->0) =  [-(6cos(a(0))-1}/cos(0)

cos0=1

lim(x---->0)=(-(6(1)-1)/1

lim(x---->0)=-6+1/1

lim(x---->0)=-5

6 0
3 years ago
Read 2 more answers
Jack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack
elena-14-01-66 [18.8K]

We are given that Jack and Jillian sell apples at a produce stand .

We are given that an expression which shows Jack's earning=2x-8

We have to find that first term what represent in the given expression

Jillian earns for each bag of apples she sells=$2

Let Jillian sold number of bags of apples =x

Then ,Jillian earn total at the end of the week =

Jack has earned $ 8 less than Jillian earn

Therefore, total earning of jack=

In the given expression the first term 2x represent the earning of Jillian.

5 0
3 years ago
PLEASE HELP ME!!
Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

6 0
3 years ago
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