It should be noted that the angle at the center of the circle is twice the angle at the circumference.
<h2>
Circle Theorem</h2>
It should also be noted that the angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Furthermore, the opposite angle that is in a cyclic quadrilateral sum is 180°. The angle between the chord and the tangent is also equal to the angle in the alternate segment.
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Answer:- The composition of translation is :
Translation: (x,y)→(x-2,y+2) [as the given piece moved 2 steps to the left and 2 steps upwards]
Translation:(x,y)→(x+2,y+2) [as the given piece moved 2 steps to the right and 2 steps upwards]
A single translation that moves the piece from its original position to its ending position is [ignoring the diagonal movement]
Translation:-(x,y)→(x,y-4)[as piece have to go 4 steps downwards]
The function is given as,
In order to determine the inverse of the function, first, we need to switch the variables 'x' and 'y' in the given equation. And then transform the equation to obtain the form y=f(x).
After switching the variables, the equation becomes,
Now, convert the equation in the form y=f(x) by transposing the terms.
Add 8 on both sides,
Multiply the equation by 4/3 as follows,
Cross multiply the terms,
Now that the function is converted into the desired form, it can be concluded that the inverse is obtained.
Therefore, the required inverse function is obtained as,
the fencing is the perimeter to the tree, then we can use the formula of the perimeter of a circle to replace this value
now we can solve r from the formula to know the radious
we can use 3.14 to pi
the value of the radio is 3 feet
now we can use the formula of the area of the circle to calculate the total area
and replace the known value of the radious and pi
<em>the area is 28.26 square feet</em>
Answer:
Step-by-step explanation:
We need a system of equations to help us solve this. One of the equations in the system is about the number of cultures bought, and the other one is about the money spent on the cultures. They are 2 very different things!
The #'s equation says that the number of cultures (c) plus the number of vials (v) totaled 57. The equation that puts that together is
c + v = 57
Now for the money part. Each culture costs $8, so the expression for that is 8c; each vial costs $1, so the expression for that is 1v; we know the amount of money spent in total was $106. The equation for that is
8c + 1v = 106
There's our system. 2 unknowns need 2 equations. Go back to the first one and solve it for either c or v. I'll solve for c, just because:
c = 57 - v. Now sub that value for c into the money equation:
8(57 - v) + v = 106 and
456 - 8v + v = 106 and
-7v = -350 so
v = 50. There are 50 vials of fruit flies. To find c, plug that into the first equation:
c + 50 = 57 so
c = 7.