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NikAS [45]
3 years ago
8

What is the rational number equivalent to 3.24 ?

Mathematics
1 answer:
IgorC [24]3 years ago
7 0
3.24=3+24/100=300/100+24/100=324/100=162/50=81/25
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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Help meeeeeeee TUT TUT TUT TUT
Arisa [49]

Answer:

that one is A but im not sure about the other ones

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
100% of what number is 61
Dominik [7]

" 100% " means "the whole thing",
and "is" can be replaced by "is equal to".

You have said "The whole thing of a number is equal to 61."
or
                       "61 is equal to the whole thing of a number."

The only number that 61 can be equal to is 61.

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP! WILL MARK BRAINLIEST!
snow_tiger [21]
The answer would be 30 since for 180 pounds and 60 feet you would need to divide 180 by 60 to get the unit rate for the pressure and then multiply by 10 which would get you 30. Correct me if I’m wrong. Hope it helps :)
3 0
3 years ago
Earl E. Bird se levanta às 8h para trabalhar. Quando ele dirige a uma velocidade média de 40 mph, ele se atrasa 3 minutos. Quand
tatiyna

Answer: 48 millas por hora

Step-by-step explanation: 40t + 2= 60t - 3,  es t = .25.

la distancia de su casa a su trabajo es 40(0.25 +0.05) =12 millas allí para su velocidad promedio debería ser 12/0.25 = 48 millas por hora

3 0
2 years ago
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