Answer:
P = 33z + 3
Step-by-step explanation:
To find the perimeter (P) sum the 4 sides
P = 8z - 3 + 10z - 3 + 6z - 1 + 9z + 10 ← collect like terms
= (8z + 10z + 6z + 9z ) + (- 3 - 3 - 1 + 10)
= 33z + 3
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
For the equation y - x < 0,
y < x
The shaded portion will be under the dashed line joining points (-2, -2) and (3, 3).
for the equation x - 1 > 0,
x > 1
The shaded portion will be to the right of the dashed line joining points (1, 5) and (1, -3).
The portion affected by the two shadings will be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).
Therefore the correct answer is option c.
Answer:
The account will grow to 1,000 in 5 years.
Step-by-step explanation:
Since the account will become 1000, the interest is 90 dollars. I=p*r*t.
90=910*.021*t
90=19.11*t.
t=4.71, so it will take 5 whole years.
Answer:
glide reflection
Step-by-step explanation: