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Lorico [155]
2 years ago
8

Find the length and width of a rectangle that has the given area and a minimum perimeter. area: a square centimeters

Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0
There isn't enough information to answer this, what is the given area or perimeter?
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Fill the value of the expression 24 3/5 +4 ×(8 1/5-2)
Julli [10]
First off, we'll convert the mixed fractions to "improper",

\bf \stackrel{mixed}{24\frac{3}{5}}\implies \cfrac{24\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{123}{5}}
\\\\\\
\stackrel{mixed}{8\frac{1}{5}}\implies \cfrac{8\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{41}{5}}

\bf 24\frac{3}{5}\times \left( 8\frac{1}{5}-2 \right)\implies \cfrac{123}{5}\left( \cfrac{41}{5}-2 \right)\impliedby \mathbb{PEMDAS}
\\\\\\
\cfrac{123}{5}\left( \cfrac{41-10}{5} \right)\implies \cfrac{123}{5}\left( \cfrac{31}{5} \right)
\\\\\\
\cfrac{123\cdot 31}{5\cdot 5}\implies \cfrac{3813}{25}\implies 152\frac{13}{25}
4 0
2 years ago
Ann lives 3/10 mile from school. Carlos lives 1/10 mile from school. How much farther from school does Ann live than Carlos?
sattari [20]
3/10 - 1/10 =2/10
Thats what I think
7 0
2 years ago
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to
Archy [21]

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

3 0
2 years ago
Need help please !!!
blsea [12.9K]

Answer:

option C is the correct answer

Step-by-step explanation:

The trigonometric equation you are using has a general form

y = A* tan w*(x - r)

Where

A is the amplitude of the function

w is the frequency rad/s

r  is the phase shift

In your case

A = -2

The frequency is

w = (2*pi)/period

period = pi/4

w = 8

r = -pi/2

y = -2* cos 8*(x + pi/2)

7 0
2 years ago
I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
2 years ago
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