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mote1985 [20]
3 years ago
5

What is the decimal and simplified fractional form of 60%?

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0
Decimal Form = 0.6
Simplified Fractional Form = 3/5
stellarik [79]3 years ago
6 0
The decimal for is 0.6.
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the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2
Ksivusya [100]

Answer:

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1.

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is \frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1.

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,  

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by b^{2} = a^{2}(e^{2}  - 1) = 4[(\frac{5}{2} )^{2} -1] = 21 {Since e = \frac{5}{2} given}

Therefore, the equation of the given hyperbola will be  

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1. (Answer)

6 0
3 years ago
A persons resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
gulaghasi [49]

Its typical because  60 between 100. 8 times 10 seconds equals 80 which is in between so Noah's heart rate is typical.

4 0
3 years ago
Consider the sphere enclosed by the cylinder. If the diameter of the sphere is 12 cm, what is the volume of the cylinder? A) 36π
kogti [31]
To find the volume of a cylinder , you will use the formula
V = Bh, where B is the area of the circular base.
Pi x r^2 x h
pi x 6^2 x 12
V = 432
The volume of the cylinder is 432pi cm³.
6 0
3 years ago
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Answer:

1/2

Step-by-step explanation:

I did the quiz on Edge 2021 and got it right with 100%.

Please give me brainliest!

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dangina [55]
I’m pretty sure the answer is either D or E but I’m not positive !
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3 years ago
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