#1 This isn't mathematics its Science
#2 I would personally say false because we can repeat a song there fore creating the same movement - vibration. Heat is also something that could be the same again. Like setting the thermostat in a home, apartment, or work place
#3 Don't hold me to #2 because I can see both sides being argued #1 is definitely right lol!
7a+20b = 28-b
7a = 28-b-20b
7a = 28-21b
a= 28/7 - 21/7 b = 4-3b
Answer: El mayor lado del rectangulo tiene 10cm
Step-by-step explanation:
El perímetro de un rectángulo puede escribirse como:
P = 2*L + 2*A
Donde L es el largo y A es el ancho.
Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:
L = A + 6cm.
P = 28cm = 2*L + 2*A
podemos reemplazar la primera ecuación en la segunda:
28cm = 2*(A + 6cm) + 2*A
28cm = 12cm + 4*A
28cm - 12cm = 4*A
16cm/4 = A
4cm = A.
Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm
Equation in vertex form, y= (-1/4) x² + 4
<u>Step-by-step explanation:</u>
we have the equation,
y = ax² + 4 ( we need to find "a")
Now we have,
2 = a(4)2 + 4
2 = a (8)+ 4
2-4 = 8a
-2= 8a
a= -1/4
Substituting the value of "a" in the equation, we have
y = (-1/4)(x- 0)² + 4 (or) y= (-1/4) x² + 4
The parabola is opens downward. Therefore the vertex is above the x-axis and then the parabola passes through a point below the x-axis.
Equation in vertex form= y= (-1/4) x² + 4
Answer:
43.60°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29
As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side
Cosine ∠E = 21/29
∠E = cos-1 0.724137931
∠E = 43.60° to the nearest hundredth
