Answer:
Step-by-step explanation:
1 km = 1000 meters
5 km = 5*1000 = 5000 meters
5 km and 5000 meters both measure the same length.
Answer:
HA = 16.2 m
DE = 17 m
Step-by-step explanation:
From the base of the cuboid, HDA will form a right angle triangle, where;
DA = 15 m
HA = 6 m
HA is the hypotenuse
Using pythagoras theorem;
HA = √(15² + 6²)
HA = √(225 + 36)
HA = √261
HA = 16.155 m
Approximating to 1 decimal place gives;
HA = 16.2 m
Similarly, HDE will also form a right angle triangle.
Thus;
DE = √((HD)² + (HE)²)
HD = 16.2 m
HE = 5 m
Thus;
DE = √(16.2² + 5²)
DE = 16.95 m
Approximating to 1 decimal place gives
DE = 17 m
Answer:
Step-by-step explanation:
8.2 comes between 8 and 9
8.2 =
.
As you know, the interval between 8 and 9 is divided into 10 equal parts and each part is 1/10 or 0.1.
Answer:
508.94
Step-by-step explanation:
Answer:
Simplify the denominator.
Tap for more steps...
x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
x
2
−
5
x
+
6
Factor
x
2
−
5
x
+
6
using the AC method.
Tap for more steps...
x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
(
x
−
3
)
(
x
−
2
)
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
(
x
+
3
)
(
x
−
3
)
,
(
x
−
3
)
(
x
−
2
)
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number
1
is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of
1
,
1
is the result of multiplying all prime factors the greatest number of times they occur in either number.
1
The factor for
x
+
3
is
x
+
3
itself.
(
x
+
3
)
=
x
+
3
(
x
+
3
)
occurs
1
time.
The factor for
x
−
3
is
x
−
3
itself.
(
x
−
3
)
=
x
−
3
(
x
−
3
)
occurs
1
time.
The factor for
x
−
2
is
x
−
2
itself.
(
x
−
2
)
=
x
−
2
(
x
−
2
)
occurs
1
time.
The LCM of
x
+
3
,
x
−
3
,
x
−
3
,
x
−
2
is the result of multiplying all factors the greatest number of times they occur in either term.
(
x
+
3
)
(
x
−
3
)
(
x
−
2
)
Step-by-step explanation:
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