Answer:
Step-by-step explanation:
How does lack of sleep affect risk of injury
Answer: The answer is (9+2) - 4
Step-by-step explanation:
Answer:
∠B and ∠F
∠F and ∠E . . . already listed in the problem statement, so may not be considered an "other pair"
Step-by-step explanation:
∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.
Likewise, ∠B and ∠E are vertical angles and congruent. Any angle complementary to one of them will also be complementary to the other. Here, ∠E and ∠F are listed as complementary, so we know ∠B and ∠F will be also.
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
a
=
x
2
and
b
=
y
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
(
x
2
-
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
Multiply the exponents in
(
x
2
)
2
(
x
2
)
2
.
Remark
Average in this case does not mean you take (s1 + s2)/2. What average speed means is Total Distance / Total Time.
Formula
Average speed(s) = Total Distance / Total Time
Givens
Total Distance = 252 + 30 = 282 miles
Total Time = 5 hours.
Substitute and Solve
Average speed = 282 / 5
Average speed = 56.4 miles / hour <<<<< Answer.
The other facts are not used.
