If she is cutting the chain into 32 pieces a foot each, she has 32 pieces of chain.
Answer:
The short answer is there isn’t.
Start by writing each of these as an expression:
x * y = 60
x + y = 7
Next, solve each for the same variable; in this case, y:
(x * y) / x = 60 / x
.: y = 60 / x
(x + y) - x = 7 - x
.: y = 7 - x
Next, replace y of the second expression to the first
y = 60 / x & y = 7 - x
.: 7 - x = 60 / x
Now, solve for x:
(7 - x) * x = (60 / x) * x
.: x * 7 - x^2 = 60
This is quadratic, so write it in the form of ax2 + bx + x = 0
(-1)x^2 + (7)x + (-60) = 0
.: a = -1, b = 7, c = -60
Finally solve for b:
x = (-b +- sqrt(b^2 - 4*a*c)) / 2a
.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)
.: x = (-7 +- sqrt(49 - 240)) / -2
.: x = (-7 +- sqrt(-191)) / -2
The square root of a negative value is imaginary and thus there’s no real answer to this problem.
Answer: 43.3 square inches
Step-by-step explanation:
Formula for Triangle: A = bh/2
Key:
* = multiple
/ = divide
Fill in the formula with what you know:
A = bh/2
A = 5 * 4.33 / 2
A= 21.65 / 2 = 10.825 square inches
However, 10.825 is not our answer. 10.825 is the area of only one triangle. Since all four of the triangles are congruent (or the same) we can:
Add: 10.825 + 10.825 + 10.825 + 10.825 = 43.3 square inches
OR
Multiple: 10.825 * 4 = 43.3 square inches
Thus, the surface area of the pyramid is 43.3 square inches.
Answer:
Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
Step-by-step explanation:
