Answer:
B
Step-by-step explanation:
1.
- 3(x+3) - 2 < 4
- 3x + 9 -2 < 4
- 3x < 4-7
- 3x < - 3
- x < -1
- x = (-oo, -1)
2.
- 1 - x ≤ -1
- - x ≤ -1 - 1
- -x ≤ -2
- x ≥ 2
- x = [2, +oo)
Correct choice is B.
With these transversals across parallel lines the angles are either congruent or supplementary (adding to 180) and its pretty easy to figure out which is which, obtuse verse acute in the figure.
Each yellow circle indicates x and the path to the next square. So for example the Start has alternate interior angles, which are congruent, so x is 141 degrees.
H'(x) = 2f'(x)
h'(1) = 2*f'(1) = 2*4
h'(1) = 8
Answer:
The area of the circle is 50.24 mm
²
Step-by-step explanation:
To solve this exercise we need to use the area formula of a circle:
a = area
r = radius = 4mm
π = pi = 3.14
a = π * r²
a = 3.14 * (4mm
)²
a = 3.14 * 16mm
²
a = 50.24 mm
²
The area of the circle is 50.24 mm
²
Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
