Answer:
10
4
Step-by-step explanation:
Purple: This makes two trapezoids. A=(a+b)/2 times h
1st = (4+1)/2 x 1 = 2.5
2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5
Total = 2.5+7.5=10
Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh
1st = 1/2x2x2 = 2
2nd = 1/2x2x2 = 2
Total = 2+2=4
Answer: D - a rotation 180° about Z’
Answer:
D:{x∈R}
R:{y∈R}
Step-by-step explanation:
This is just a linear function. I know this because the degree of the x-variable is 1.
Domain and range are sets of possible values the function can have - though not necessarily at the same time.
Thus, there are no restrictions to the domain and range unless context is given.
Therefore, the domain and range is:
D:{x∈R}
R:{y∈R}
Answer:
(f-g)(x)
= -x^2 - 2x + 2
Step-by-step explanation:
(f-g)(x) means
f(x) - g(x)
= x - 2 - (x^2+3x-4)
distribute the subtraction to all three of the last terms.
= x - 2 - x^2 - 3x + 4
combine like terms
= -x^2 - 2x + 2
Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
