Answer:
55
Step-by-step explanation:
Yes that is correct good job
Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer= x³+4x²+16x+64
Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
| | | | x | + | 4 i
| | x^2 | + | (4 - 4 i) x | - | 16 i
| | | | (-16 i) x | + | 64
| | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
Answer:
A: W = 8x
B: 12y + 320
C: 44
Step-by-step explanation:
A: Lana can make $8 an hour.
W = 8x
B: She makes $12 per hour for every hour of overtime. This means that she already worked 40 hours with regular pay. She has already made $320.
40 × $8 = $320
S = 12y + 320
C: Plug in the amount Lana earned into the second equation. The second equation will account for pay from both regular and overtime hours.
S = 12y + 320
368 = 12y + 320
368 - 320 = (12y + 320) - 320
48 = 12y
48/12 = (12y)/12
4 = y
y = 4
Lana worked 4 hours of overtime and 40 hours of regular hours. In total, she worked 44 hours.
4 + 40 = 44
