Answer:
x = 8.3.
Step-by-step explanation:
According to solve for the length of x, we need to use SOH CAH TOA.
This means...
Sine: Opposite over Hypotenuse
Cosine: Adjacent over Hypotenuse
Tangent: Opposite over Adjacent
In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.
cosine(41) = x / 11
x = (cosine(41)) * 11
x = 0.7547095802 * 11
x = 8.301805382
The question asks us to round to the nearest <em>tenth</em>.
So, your final answer is that x = 8.3.
Hope this helps!
1. $2.78
2. If it’s 20% off you save 13.90 so 69.50- 13.90 is $55.60
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Ok so you have to calculate all the areas try doing maybe it shows you the answer
Answer:
<h2>4,8 and 16</h2>
Let the three numbers be a,ar, ar^2 ,
where r is the common ratio.
⇒a+ar+ar^2 =28 and a^3 r^3 =512
⇒ar=8⇒a+ar^2 =20
⇒8r^2 −20r+8=0
⇒r=2,r= 1/2
If r=2,a=4
Therefore, the three numbers are 4,8,16.
Step-by-step explanation:
Hope it is helpful.....
