Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.
What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.
What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.
Answer:
1) 1.4%
2) 8.3%
3) 20.8%
Step-by-step explanation:
Alrighty! You are looking at some compound probability problems.
The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.
Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."
1) Flipping head, rolling a 5, and rolling a 2
P(flipping heads) = 1/2
p(rolling a 5) = 1/6
p(rolling a 2) = 1/6
so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%
2) Flipping tails, rolling an odd number, and rolling a 4
p(flipping tails) = 1/2
p(rolling an odd number) = 3/6
p(rolling a 4) = 1/6
so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%
3) Flipping head, not rolling a 2, and rolling an even number
p(flipping heads) = 1/2
p(not rolling a 2) = 5/6
p(rolling and even number) = 3/6
so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%
Answer:
(4, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ) , thus
(- 5, - 4 ) → (4, - 5 )
Answer:
2.401 x 10
Step-by-step explanation:
24,010 (twenty-four thousand ten) is an even five-digits composite number following 24009 and preceding 24011. In scientific notation, it is written as 2.401 × 104.
