In exponential form it is given as, 8⁻³ =
<u>Step-by-step explanation:</u>
We have to write the given equation in the exponential form, that is in the form of base to the power value.
Given:
log₈ ( ) = -3
Here the base is 8.
In the exponential form, it is written as,
base to the power 3 = 512
Here the reciprocal of 512 is given, so,
base to the power -3 =
So the exponential form is given as, 8⁻³ =
Answer:
B and D are both true statements
Step-by-step explanation:
A is false. The ratio of green pieces to blue pieces is 7:5 is false as the statement tells us total is 12 when green is 5. This means total is 12.
In the A. statement, it describes green pieces to blue pieces, where blue pieces are more than 5, its order in A states 5 last, meaning blue=5 and this is not true.
B is true. This speaks of the total pieces to blue pieces is 12:7 this is true as it speaks of total first = 12. where blue is also =7. This is true.
C is false. There must be 7 more blue pieces than green pieces this is false as there are two (2)more blue pieces than green, not 7.
D is true. The ratio of total pieces to green pieces is 12:5 is also true as there are 12 total and 5 green and it states this in same order within the statement showing the reverse of the statement in the question where green still is 5 and total is 12.
Answer:
x=15
Step-by-step explanation:
18-3=15
Answer:
The perimeter of the new pentagon is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
To find the perimeter of the new pentagon, multiply the perimeter of the original pentagon by the scale factor
Let
z ----> the scale factor
The perimeter of the new pentagon is equal to
Answer:
20.8 inches squared
Step-by-step explanation:
Area of spinner:
45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then
45.1/5=9.02
9.02*12=108.24
K=1/2(r^2)sin150
108.24=1/2(r^2)sin150
216.48=(r^2)1/2
432.96=r^2
r=20.8