Perimeter of a rectangle:
P=2I+2W=2(I+w)
But if the length and width of a rectangle are both double, then we would have:
Length=2I
width=2w
Therefore, its perimeter would be:
P=2(2I+2w)=4(I+w)
the old perimeter was P=2(I+w) and the new perimeter is P=4(I+w)=2[2(l+w)]
There the perimeter is twice as great.
Answer: C) the perimeter is twice as great.
Order 3/8, 3/7, and 3/9 from least to greatest without writing equivalent fractions with a common denominator explain your Strategy
3/9 3/8 3/7
The greater the denominator, the smaller the pieces are. Thus, numbers with equivalent numerators but smaller denominators will be larger than those with larger denominators.
Is 0.7 greater than less than equal to 7/9
Less than. 7/9 is 0.77777....
Answer:
C' (-9 , 3) D' (6 , 3) E' (-9 , 6)
Step-by-step explanation:
Dilation Factor: 3 Origin: (0,0) (x,y) ---> (3x,3y)
C' (-9 , 3)
D' (6 , 3)
E' (-9 , 6)
4/105 In total there are 2+4+1+8=15 The probability of taking a blue is number of blue divided by number of total, so that would be 4/15. Since, it is not replaced, we can now say that there are 1 less marbles in the bag (since we took out a blue). Now probability of getting a green marble is:2/14=1/7
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
