The answer is: (z - 6)(z + 15)
z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)
Answer:
A. 19,70,91
Step-by-step explanation:
Interior angle =180
19+70+91=180
4 because 4 times 24 equals 96 then 96 divided by 3 equals 32
Answer:
The GCF for the variable part is
k
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k
Answer: 15.59 or 9√3
Step-by-step explanation:
We can use the Pythagorean Theorem to calculate the third side.
c² = a² + b² In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.
c is the hypotenuse. a is the short leg
18² = 9² + b²
324 = 81 + b² Subtract 81 from both sides.
324 - 81 = b² becomes b² = 243 Take the square root of both sides
b = 15.5884 . This can be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.
The proportions of the sides of the 30 60 90 triangle can also be used:
2² = 1² + b²
4 = 1 + b²
3 = b²
√3 = b
You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle
