Answer:
Volume of prism = area of base x height
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➷ cos41 = x/55
x = cos41 x 55
x = 41.50902
The correct option would be 41.51
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Answer:
(2,2), 24 units squared
Step-by-step explanation:
D is at (2,2) because it would make Line AD equal to line BC and line AB equal to line CD, which would make a rectangle.
Area= length x width
A= 6 x 4
A=24 units squared
Good Luck!
Answer:
15years
Step-by-step explanation:
Given data
Rate= 9%
Principal= $2000
Final amount= $4700
The simple interest formula is given as
A= P(1+rt)
Substitute
4700=2000(1+0.09*t)
4700= 2000+ 180t
4700-2000= 180t
2700=180t
t= 2700/180
t= 15 years
Hence the time is 15years
Answer:
I. Hijo, h = 10 años
II. Padre, P = 40 años
Step-by-step explanation:
- Sea la edad del padre P.
- Sea la edad del hijo h.
Traduciendo el problema verbal a una expresión algebraica, tenemos;
P = 4h .....ecuación 1.
P + 5 = 3(h + 5) ........ecuación 2.
Simplificando aún más, tenemos;
P + 5 = 3h + 15
P = 3h + 15 - 5
F = 3h + 10 ......ecuación 3.
Sustituyendo la ecuación 1 en la ecuación 3;
4h = 3h + 10
4h - 3h = 10
<em>h = 10 años </em>
A continuación, encontraríamos la edad del padre;
P = 4h
P = 4 * 10
<em>P = 40 años</em>