Answer:
z = 1
Step-by-step explanation:
See the diagram of the triangle attached to this question.
We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.
Hence,
42z + 37 = 40z + (26z + 13)
⇒ 42z + 37 = 66z + 13
⇒ 37 - 13 = 66z - 42z
⇒ 24 = 24z
⇒ z = 1 (Answer)
Answer: Option c. D: all real numbers R: (y ≥ 8.75)
Solution:
y=x^2+x+9
Domain: all real numbers = ( - Infinite, Infinite)
y=ax^2+bx+c
a=1 > 0, the parabola opens upward: Range: y ≥k
b=1
c=9
Vertex: V=(h,k)
h=-b/(2a)
h=-1/(2(1))
h=-1/2
h=-0.5
k=y=h^2+h+9
k=(-0.5)^2+(-0.5)+9
k=0.25-0.5+9
k=8.75
Range: y≥k
Range: y≥8.75
63.58 percent or 63.6 percent
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
=
, substitute values
=
( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u =
≈ 5.7 ( to 1 dec. place )
Answer:
$545
Step-by-step explanation:
Let the total cost per year be y.
He spent a flat amount of $125 per year.
Then he spend an additional $35 per months. There are 12 months in a year so that's a total of 35*12=$420.
Add up the cost
y = 125 + 420 = $545