Answer:
10x+12 is the answer in my calculation.
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*<em>look at the image I attached for a better explanation</em>
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
Thus the <u>missing side length is 12 cm</u>
Hope that helps!
Answer: x° = 77°
Step-by-step explanation:
x + 103 = 180
x = 180 - 103
x = 77°
also by properties:
x° = 42° + 35° = 77°
Answer: Pi · 2r
Step-by-step explanation:
The standard formula to find the circumference of a circle is Pi times the diameter of the circle. The diameter is 2 times the radius, which is what you're going to use in the formula.
So instead of Pi times the diameter, we have Pi times 2 times the radius. Thus, the formula is Pi · 2r.
Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue
Step-by-step explanation:
Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.
The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.
In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that
4x + (1.5 × 60) = 2.5(60 + x)
4x + 90 = 150 + 2.5x
4x - 2.5x = 150 - 90
1.5x = 60
x = 60/1.5
x = 40
