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EleoNora [17]
3 years ago
13

There are many cylinders with a height of 9 inches. Let r represent the radius in

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

Step-by-step explanation:

V, r, h are the volume, radius, and height, respectively.

V = πr²h = 9πr²

The only error in your previous answers was that you forgot the π.

if r = 1, V = 9π1² = 9π ≅ 28 in³

if r = 2, V = 9π2² = 36π ≅ 113 in³

if r = 3, V = 9π3² = 81π ≅ 254 in³

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1.) Is this number rational or irrational?
Setler79 [48]

Answer:

1) Irrational.

2) Irrational.

Step-by-step explanation:

We have been given two numbers. We are asked to determine whether the given numbers are rational or irrational.

We know that a number is a known as rational number, when we can represent it as a fraction or it has terminating decimals.

A number is a known as rational number, when it has non-repeating and non-terminating decimals.

1). -\frac{\sqrt{3}}{5}+10.8

-0.3464101615137755+10.8=10.4535898384862245

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

2) \sqrt{3}=1.7320508075688773

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

4 0
3 years ago
Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)
natita [175]
X² = 5
take root to both side to clear the square

√x² = ±√5

X = ±√5
8 0
3 years ago
Read 2 more answers
PLEASE HELP
Anastasy [175]

Answer:

3

Step-by-step explanation:

the line crosses the y-axis at (0,3)

3 0
3 years ago
Read 2 more answers
Write the expression in factored form s^2-20s-100
KatRina [158]

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

Hence, the factors of given expression are 10+10√2 and 10-10√2.

3 0
3 years ago
x varies jointly with the square of y and z. when y=6 and z=5, x=100. Then, what is x when y=8 and z=2?
djyliett [7]
X = k*y^2 * z
100 = 6^2*5*k,
k=0.555
x=0.555zy^2

x=o.555(8^2)(2)=71.1112.


Hope that helps!
8 0
4 years ago
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