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rosijanka [135]
3 years ago
9

Find the radius of a circle in which an inscribed square has a side of 8 inches.

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

r = 4

Step-by-step explanation:

side of square is the same as the diameter of the circle

if diameter is 8 then radius is 4

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How do i evaluate (7 to the power of 2)to the power of 3)=7 to the power of 5​
kakasveta [241]

Step-by-step explanation:

(7^2)^3=7^5\qquad\bold{FALSE}\\\\\text{because}\\\\7^2=7\cdot7\\\\(7^2)^3=(7\cdot7)^3=(7\cdot7)\cdot(7\cdot7)\cdot(7\cdot7)=\underbrace{7\cdot7\cdot7\cdot7\cdot7\cdot7}_6=7^6\\\\\text{or use}\ (a^n)^m=a^{nm}\\\\(7^2)^3=7^{2\cdot3}=7^6

4 0
2 years ago
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Find three consecutive even numbers whose sum is 96?
stepladder [879]
So consectuve even numbers

we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number

x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30

the first number is 30
x+2=32=second number
x+4=34=third number

the numbers are 30,32,34
3 0
3 years ago
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9.05 as an improper fraction
EleoNora [17]

Answer:

181/20

Step-by-step explanation:

9.05=9 5/100 = 9 1/20

9*20+1=180+1=181

181/20

4 0
3 years ago
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Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components
Tju [1.3M]

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

Ez = -14yz

Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

Ex = -(4 - 14xy)

Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

Ey = -(-7x² + 7yz²)

Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

8 0
2 years ago
A giant hummingbird can flap its wings at a rate of 13 flaps per second, how many times
antoniya [11.8K]

Answer:

780 flaps per second

Step-by-step explanation:

just multiply 13×60

8 0
3 years ago
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