Well, it would become 5/7x=40.5. Divide both sides by 5/7, so it is 40.5 * by the reciprocal of 5/7 (7/5). The answer is 56.7 pounds.
The picture in the attached figure
we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]
step 1Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²
step 2find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²
step 3the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²
therefore
the answer isthe area of the shaded region is 44.22 units²
Answer:

Step-by-step explanation:
Equation of a circle is given as :

Take the derivative of the above with respect to x

The equation of the tangent is given by :

Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:

Every quadratic formula has the structure:

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:

Solve:

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

(Same discriminant value)

Now to find the two solutions, we use both signs in the equation. Solution 1:


Our first solution is -5, now for the second:

The two solution to this equation are -5 and -40.
Hope this helped!
Answer:
16/15
Step-by-step explanation:
Ratio: 3/4 : 4/5
Whole number ratio: 15 : 16
You need to divide both sides by 15 so you can turn 15 to 1
Divide both sides of the ratio by 15: 1 : 16/15
So, for 1 pound of flour, you need 16/15 pounds of brown sugar for a cake.