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adell [148]
3 years ago
6

Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

The height of this cylinder = 9.55 ins

Step-by-step explanation:

Volume cylinder = pi * r² * h = 30 ins

r=1

pi * r² * h = 30

pi * 1² * h = 30 ins

h = 30/pi

h = 9.55 ins

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The answer would be B.
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Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
The diameter of a circle is 7 m. Find the circumference to the nearest tenth
Molodets [167]

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

C = \pi d =  3.14 \times 7 \\  \\  C= 21.98 \: m\\  \\  C \approx 22.0 \: m

3 0
3 years ago
PLS HELP!!! The snowy tree cricket is sometimes called the temperature cricket because the frequency of its chirps varies based
trasher [3.6K]

Answer:

Step-by-step explanation:

62 degrees Fahrenheit

Step-by-step explanation:

The number of snowy tree cricket chirps per minute is 148 less than 4 times the outside temperature in degrees Fahrenheit.

Let x = number of chirps

f = temp in Fahrenheit

x =  4f -148

Now let x = 100

100 = 4f-148

Add 148 to each side

100+148 = 4f-148+148

248 = 4f

Divide each side by 4

248/4 = 4f/4

62=f

3 0
2 years ago
Find the indicated angle measures. Then justify the answer. ​
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Pretty sure it’s 65 since its alternate interior angles which equal 180
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2 years ago
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