Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm
We will have the following:
A. The function is compressed in the y-axis by a factor of 0.5 and then it is inverted in its direction; since it is a line the line is then decreasing instead of increasing.
B. The function is increased by a factor of 2 in the y-axis and then it is moved 3 units up:
C. The function is increased by a factor of 5/3 (Approximately 1.67) in the y-axis and then it is made so it is no longer increasing, but decreasing:
D. The function is increased in the y-axis by a factor of 9 and then it is moved 9 units down:
Answer:
P=20%
Step-by-step explanation:
Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:
Probability=#of desired outcomes / #of possible outcomes
or
P=0.20
P=20%
x + 15 = 24
subtract 15 from both sides
x = 24 - 15 = 9
d = distance between the two cities
v₁ = average speed while going from chicago to kansas city = 440 knots
t₁ = time taken to travel distance going from chicago to kansas city
time taken to travel distance going from chicago to kansas city is given as
t₁ = d/v₁
t₁ = d/440 eq-1
v₂ = average speed while going from kansas city to chicago = 110 knots
t₂ = time taken to travel distance going from kansas city to chicago
time taken to travel distance going from kansas city to chicago is given as
t₂ = d/v₂
t₂ = d/110 eq-2
Given that :
t₂ = t₁ + 3
using eq-1 and eq-2
(d/110) = (d/440) + 3
d = 440
