Answer:
a) ∅ ∈ {∅} TRUE
b) ∅ ∈ {∅,{∅}} TRUE
c) {∅} ∈ {∅} FALSE
d) {∅} ∈ {{∅}} TRUE
e) {∅} ⊂ {∅,{∅}} TRUE
f ) {{∅}} ⊂ {∅,{∅}} TRUE
g) {{∅}} ⊂ {{∅},{∅}}FALSE
Step-by-step explanation:
To assess whether these statements are true or false, first observe the symbol:
"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"
On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.
So:
c) is false because "{∅}" is not included in the set
g) is false because " {{∅}}" is not included in the set
Answer:
162 km per hour
Step-by-step explanation:
Hi!
Speed=Distance x Time
So... 3 x 54 = 162
Hope this helps :)
Answer:
8.4 inches
Step-by-step explanation:
To find the amount of inches, multiply the length by the percent. A percent is 40% but can also be written as a decimal conversion as 0.4. Then 40% of 60 inches is 0.4(60)= 24 inches.
However, she didn't use all 24 inches. She used 35%. This converts to 0.35 and then multiply for 0.35(24) = 8.4 inches.
She used 8.4 inches.
Formula for the area of a triangle:
( Base X Height ) Divided by 2 or (B×H) ÷ 2
Formula for the area of a circle:
PI times the radius squared or PI × r^2
Area of the triangule part of this figure:
Base: 8ft. Height: 6ft
(8ft × 6ft) ÷ 2
48ft^2 ÷ 2
24ft^2
Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle
Area of the semicricle:
Diameter: 10ft,
Therefore the radius is 5ft
(PI x 5ft^2) ÷ 2
39.2699081699 ft^2
39.27 ft^2
Now add these two areas together:
24ft^2 + 38.27ft^2 = 62.27ft^2
Hope it helps
Answer:
please
Step-by-step explanation:
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