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grin007 [14]
2 years ago
6

The perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4 cm long. What are the possible lengths of the other

two sides?
Mathematics
1 answer:
zvonat [6]2 years ago
5 0

Answer:

6 cm

Step-by-step explanation:

24 dived by 4=6

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Two banks are running promotions on savings accounts in anticipation of higher interest rates in the future.
chubhunter [2.5K]

Answer:

<h2>First Federal Bank is best</h2>

Step-by-step explanation:

First national bank gives:

$5,449.03 after 4 years being compounded annually at a rate of 2.15%

First federal bank gives:

$5,468.12 after 4 years at a rate of 2.25%

Please let me know if I did anything wrong. I will immediately fix my mistakes :)

4 0
3 years ago
Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $80.00, how much money is Roger saving o
wlad13 [49]
Well, we know that 25% is also 1/4 and if we multiply $80.00 by 1/4 you get $20 so the answer is $20.
3 0
3 years ago
Read 2 more answers
What is the equation of this line?
ikadub [295]

Answer:

y=4/3x-1/3

Step-by-step explanation:

m=y2-y1/x2-x1

fill in the two points for the y's and the x's

then proceed to y = mx+b

Where:

m is the slope, and

b is the y-intercept

then you solve and <u>bam</u>!

8 0
3 years ago
A professor has kept records on grades that students have earned in his class. If he wants to examine the percentage of students
AleksandrR [38]

Answer:

Pie chart

Step-by-step explanation:

Given that a  professor has kept records on grades that students have earned in his class

He wants to examine the percentage of students earning the grades A, B, C, D, and F during the most recent term,

We have to find which kind of plot could he make

Box plot gives comparison for interval of scores this is to some extent helpful to find out the percentage of students getting a range of scores

Timeplot is irrelevant here.  Dot plot will not be of much use.  

Histogram is to some extent useful as box plot

But the best one is pie chart giving easy visual comparison for various grades A, B,C,D,E and F

8 0
3 years ago
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