Answer:
41,6 cm
Step-by-step explanation:
Formula for Perimeter of a rhombus: P = 2L + 2H (H is the height, L the length)
Perimeter: 160 cm = 2L + 2(38,4 cm), or
160 cm + 76.8 cm + 2L, or
83.2 cm = 2L
and so the height (altezza) is H = 83.2 cm / 2 = 41,6 cm
Answer:
The person who receives the most will get $24
Step-by-step explanation:
Let
x ----> amount received by the first person
y ----> amount received by the second person
z ----> amount received by the third person
we know that
----> equation A

so

----> equation B

----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x
Find the value of z

therefore
The person who receives the most will get $24
Answer:
3
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original slope
a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator
in this cause, the slope is -1/3
the negative of it is 1/3 and the reciprocal is 3
therefore the slope of the perpendicular line is 3
Answer:
-45/2
Step-by-step explanation:
67 1/2 * (-1/3)
67 1/2 = 135/2
So 135/2*1/3=45/2
45/2*-1=-45/2
Answer:
x=ln(41)/ln(243)
Step-by-step explanation:
20(3)^5x=820
3^5x=820/20
3^5x=41
5x=ln(41)/ln(3)
x=(1/5)[ln(41)/ln(3)]
x=ln(41)/ln(3^5)
x=ln(41)/ln(243)