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Alenkinab [10]
3 years ago
6

What is 8.1 in a fraction

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
4 0

Answer:

81/10

Step-by-step explanation:

lidiya [134]3 years ago
4 0

Answer: 81/10

Step-by-step explanation:8.1 = 8 1/10, convert that to an improper fraction and get 81/10

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Farmer Samantha has a cylindrical grain silo with a diameter of 12 feet and a height of 40 feet. The silo is filled with grain t
sammy [17]

Answer:

161,234 pounds of grain will remain in the silo

Step-by-step explanation:

In this question, we are to calculate the amount of grains that will be left in a silo if 20 cows feed on the content for 100 days.

Firstly, we need to calculate the amount of grains present in the silo.

This we can do by first calculating the volume of the silo. Since it is cylindrical in shape, we apply the formula for the volume of a cylinder.

Mathematically, the volume of a cylinder is

V = pi * r^2 * h

Here we have the r = D/2 = 12/2 = 6 feet and h = 40 feet. Plugging this , we have;

V = pi * 6^2 * 40 = 1440pi cubic feet

Now, per cubic feet, we have a weight of 48 pounds. The weight of grains thus present in the silo is thus;

1440pi * 28 = 1440 * pi * 48= 69,120pi pounds of grain

Let’s calculate what the cows would feast on. That would be 20 * 28 * 100 = 56,000 pounds of grains

Now we need to know what will remain. We just need to subtract what is consumed by the cows from we have inside the silo

What is inside the silo would be 69,120 * 22/7 = apprx 217,234 pounds

What will remain is thus 217,234 - 56,000 = 161,234 pounds of grain

3 0
2 years ago
Which coordinate pairs make the equation x-9y=12 true?
asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12

12 does equal 12, so (0, -4/3) makes the equation true.

8 0
3 years ago
For the function y=-2sin(pi/12(x-2) what is the maximum value
pogonyaev

Answer:

Step-by-step explanation:

The max value of the sine function is 1.  

If we multiply it by 2, we get 2 sin x, whose max. value is 2.

If we multiply the sine function by -2, the max value of this functin is still 2.

3 0
2 years ago
It’s not C and I suck at math can someone plz help me on this plz and thx
Fittoniya [83]

Answer:

a

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = πr²h ( r is the base radius and h the perpendicular height )

To calculate the height h use the right triangle formed by the radius and the inclined side.

Given diameter = 22, then r = 22 ÷ 2 = 11 cm

Using Pythagoras' identity on the right triangle, then

h² + 11² = 61² , that is

h² + 121 = 3721 ( subtract 121 from both sides )

h² = 3600 ( take the square root of both sides )

h = \sqrt{3600} = 60

Thus

V = π × 11² × 60

   = 3.14 × 121 × 60 ≈ 22796.4 cm³ → a

7 0
3 years ago
Prove that can you please prove and explain it plz ​
Alexandra [31]

Answer:

Step-by-step explanation:

LHS = Sin² ∅ + Sin² ∅*tan² ∅

        = Sin² ∅ [1 + tan² ∅ ]                 {Sec² ∅ - tan² ∅  = 1}

         = Sin² ∅ *Sec² ∅

         = Sin² ∅ * \frac{1}{Cos^{2} }

         = Sin² ∅ /Cos² ∅

        =  tan² ∅  = RHS

8 0
3 years ago
Read 2 more answers
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