Given that <span>a rectangular trough, 2.0 m long, 0.70 m wide, and 0.45 m deep, completely full of water is connected to </span>a small drain plug right at the bottom edge
If the plug is pulled, the <span>speed at which water emerges from the hole is given by</span>
answer:
x = 4
y = 19
step-by-step explanation:
- we know that this is a parallelogram, so opposite sides are equal
- this is one of the properties of a parallelogram
therefore,
segment AB = segment DC <em>and</em> segment AD = segment BC
- now plug in the expressions according to what we know (& solve)
AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
Answer:
CD = 10√3
Step-by-step explanation:
First of all, you need to understand the terms. The <em>incenter</em> is the center of an inscribed circle. Such a circle is tangent to all three sides of the triangle at points B, D, and F. The distances BG, DG, and FG are each the radius of the circle.
The diagram shows FG = 22, so that is also the measure of DG. This gives you two of the three sides of right triangle CDG, so you know enough to apply the Pythagorean theorem.
CG^2 = CD^2 + DG^2
28^2 = CD^2 + 22^2
300 = CD^2 . . . . . . . . subtract 22^2
10√3 = CD . . . . . . . . . take the positive square root
The measure of CD is 10√3.
_____
The process is to understand the geometric relationships and what they mean regarding the algebraic relationships. Then you use the algebraic relationships to write equations that let you find the unknowns you seek.
Answer:
El promedio de dinero de las personas es de $35 cada uno.
Step-by-step explanation:
Dado que el promedio del dinero de 5 personas es de $20 cada uno, para determinar, si ingresan 3 personas con promedio de $60 cada uno, cuál es promedio del dinero de las personas
, se debe realizar el siguiente cálculo:
((5 x 20) + (3 x 60)) / 8 = X
(100 + 180) / 8 = X
280 / 8 = X
35 = X
Por lo tanto, el promedio de dinero de las personas es de $35 cada uno.
218.9 rounded (218.87 not rounded)
