9. The radius of a circle is 6.
1 answer:
Answer:
12,5.196
Step-by-step explanation:
given that the radius of a circle is 6.
We have any tangent drawn from outside point there will be two tangents of equal length and also the line joining point of intersection of tangent with centre of circle will bisect the angle between the tangents.
When angle between the two tangents is 60, we have the right triangle formed by radius, one tangent, and line joining point of intersection of tangent with centre of circle with angles 30,60 and 90
Hence the hypotenuse = length of line segment of tangent = 2 (radius) = 12
Part 2:
When angle between tangents is 120, we have 60,30,90 right triangle and hence length of tangent = radius * sin 60
=
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The acceleration of the bookshelf is equal to 1.30
<u>Given the following data:</u>
- Mass of bookshelf = 51.5 kilogram
- Net force = 67 Newton
To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.
Mathematically, Newton's Second Law of Motion is given by this formula;
Substituting the given parameters into the formula, we have;
Acceleration = 1.30
Read more on net force here: brainly.com/question/1121817
Answer:
1,225 miles = 77616000 inches
Step-by-step explanation:
It is asked to find the number of inches in 1,225 miles
Given
1 inch ≈ 1.578 × 10^-5 miles
Therefore, 1 mile = 63360 inches
Therefore, 1,225 miles = 1225 x 63360 inches
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Therefore the final answer is
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
