Answer:
First you find the radius R
We have, circumference = 2*3.14*R = 31.4
=> R =31.4/(2*3.14) =5
We have , area = 3.14*R^2 = 3.14*5^2 = 78.5
Step-by-step explanation:
Here we use pi =3.14.
The answer is D
Following the point - slope form : y - y1 = m ( x - x1 )
The slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
<h3>Slope of a line</h3>
From the question, we are to determine the slope of the line in the diagram
Using the formula,
m = (y₂ - y₁)/(x₂ - x₁)
Where m is the slope
To determine the slope of the line, we will pick two points on the line.
Using the points (1, 0) and (0, -5).
Thus,
x₁ = 1
y₁ = 0
x₂ = 0
y₂ = -5
Putting the values into the equation
m = (y₂ - y₁)/(x₂ - x₁)
m = (-5 - 0)/(0 - 1)
m = -5/ -1
m = 5
Hence, the slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
Learn more on Slope of a line here: brainly.com/question/1884491
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The total cereal mixture is 45 kilograms
<em><u>Solution:</u></em>
Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7
Therefore,
Almond : Wheat : Corn = 3 : 5 : 7
Let the almond present be 3x
Let the wheat present be 5x
Let the corn present be 7x
Therefore,
Total cereal mixture = 3x + 5x + 7x
Total cereal mixture = 15x
<em><u>Given that mixture contains 9 kg of almond</u></em>
Almond = 9
We know that,
Almond present = 3x
3x = 9
x = 3
Therefore,
Total cereal mixture = 15x = 15(3) = 45
Thus total cereal mixture is 45 kilograms