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
Answer:
The Statement D⊆B is False.
Step-by-step explanation:
Given:
A = {1, 3, 5, 7 }
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}
To Check:
D⊆B = True or False
Solution:
The sign '⊆' symbolize SUBSET
So D⊆B means D is the Sub Set of B
That means All the element of Set D must be there in the SET of B Then it comes True.
Or else it is False
D = {2, 5, 8}
B = {5, 6, 7, 8}
Therefore D⊆B is a FALSE statement
For it to be TRUE we must have set B as
D = {2, 5, 8}
B = {2,5, 6, 7, 8}
Now D⊆B is a TRUE statement
To be able to determine how much peanuts than cashews Cassie bought we simply subtract the amounts given in the problem statement. That is,
<span> 3/8 pound of peanuts - 1/4 pound of cashews = 1/8 pounds
THerefore, Cassie bought 1/8 pounds of peanuts than cashews for the mixed nuts. Hope this answers the question. Have a nice day.</span>
