Answer:
Step-by-step explanation:
using sin formula

Answer:
ac = 18.5
Step-by-step explanation:
perimeter of a rectangle = 
= 138m^2= 2(2x + 6 ) + 52
= 4x + 12 + 52 = 138
= 4x + 64 = 138
= 4x = 138 - 64
= 4x = 74
= x = 74/4
= x = 18.5
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>
Answer:
108 ft²
Step-by-step explanation:
For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.
Next, we have to find the other side of the polygon on the <em>right</em> so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.
Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.
Hopefully that's helpful! :)
Answer:
The answer is A) y+4 =3(x+3)
Step-by-step explanation:
The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.
Your options are given in point-slope form:
y-y1=m(x-x1)
Pick a point from the graph. I used;
(-3, -4). Now plug this into your point slope form equation.
y-(-4) = 3(x-(-3))
y+4=3(x+3)