Answer:
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Step-by-step explanation:
The 5 in 50.89 is in the 10's place
The 5 in 261.58 is in the 1/10's place
1/10(100) = 10
Answer:
Convert
3
1
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3
+
1
4
−
1
3
4
Add
3
and
1
4
To write
3
as a fraction with a common denominator, multiply by
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine
3
and
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine the numerators over the common denominator.
3
⋅
4
+
1
4
−
1
3
4
Simplify the numerator.
Multiply
3
by
4
.
12
+
1
4
−
1
3
4
Add
12
and
1
.
13
4
−
1
3
4
Convert
1
3
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
13
4
−
(
1
+
3
4
)
Add
1
and
3
4
.
13
4
−
7
4
Combine the numerators over the common denominator.
13
−
7
4
Subtract
7
from
13
.
6
4
Cancel the common factor of
6
and
4
.
Factor
2
out of
6
.
2
(
3
)
4
Cancel the common factors.
Factor
2
out of
4
.
2
⋅
3
2
⋅
2
Cancel the common factor.
2
⋅
3
2
⋅
2
Rewrite the expression.
3
2
The result can be shown in multiple forms.
Exact Form:
3
2
Decimal Form:
1.5
Mixed Number Form:
1
1
2
Step-by-step explanation:
• measure of the side: s = 3 in
You can find the height h by this formula:
s · √3
h = ————
2
3 · √3
h = ————
2
3√3
h = ———— in (exact value)
2
Using √3 ≈ 1.73,
3 · 1.73
h ≈ —————
2
5.19
h ≈ ————
2
h ≈ 2.60 in (approximate value)
I hope this helps. =)
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
