equivalent
1) 3^6
4) 3^-4 · 3^10
8) (3 · 3) · (3 · 3 · 3 · 3)
Step-by-step explanation:
<h2>_____________</h2>
equivalent
1) 3^6
4) 3^-4 · 3^10
8) (3 · 3) · (3 · 3 · 3 · 3)
Answer: 17160 feet
Step-by-step explanation:
We know that 5280 feet = 1 mile
So all we have to do is multiply 3 1/4 by 5280
Let's split the 3 and 1/4 up to make the multiplication easier
3×5280=15840
×5280=
Now add them together
15840+1320=17160
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
Answer:
8 interior angles
Step-by-step explanation:
- There is a simple trick to finding the number of interior angles
- For instance, a triangle has 3 sides, and how many angles are in a triangle? 3
- A square has 4 sides and 4 interior angles
- A pentagon has 5 sides and 5 interior angles
- So an octagon, the shape we have here, has 8 sides so 8 interior angles
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
