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worty [1.4K]
2 years ago
11

The circumference of the tree trunk is 7.85

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
4 0

Answer:

2.5 feet

Step-by-step explanation:

Since circumference is just pi(we're using 3.14 in this case) * diameter, which is our answer, we need to divide the circumference(which is 7.58) BY 3.14, which is pi. This leaves us with the diameter, which is 2.5. The unit is already feet, so we needn't do anything about that.

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A circle has a center of (5,-5) and goes through (6,-2). What is the radius?
Fittoniya [83]
Start with the equation of a circle whose center is at (h,k) and whose radius is r:

(x-h)^2 + (y-k)^2 = r^2

Substituting the given coordinates of the center:

(x-5)^2 + (y-[-5])^2 = r^2, or (x-5)^2 + (y+5)^2 = r^2

Substituding the given coordinates of a point (6,-2) on the circle:

(6-5)^2 + (-2+5)^2 = r^2

Simplifying:

1^2 + 3^2 = r^2, or 1 + 9 = r^2, or 10= r^2.  Then r = sqrt(10).

6 0
3 years ago
For hw plss help!!!!
yarga [219]

Answer:

4th term is 274.4 cm

5th term is 192.08 cm

Step-by-step explanation:

Here, we want to get the 4th and 5th term

Let us get the common ratio;

That would be ;

392/560 = 560/800 = 0.7

The 4th term will be ar^3

= 800 * 0.7^3 = 274.4

The 5th term will be ar^4

= 800 * 0.7^4 = 192.08

6 0
2 years ago
Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).
alexira [117]

Let f(x,y,z)=z-\ln(x+y). The gradient of f at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

\nabla f(1,0,0)\cdot(x-1,y,z)=0

Compute the gradient:

\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)

Evaluate the gradient at the given point:

\nabla f(1,0,0)=(-1,-1,1)

Then the equation of the tangent plane is

(-1,-1,1)\cdot(x-1,y,z)=0\implies-(x-1)-y+z=0\implies\boxed{z=x+y-1}

7 0
3 years ago
******PLEASE HELP!!******
expeople1 [14]

Answer:

9^{4}

Step-by-step explanation:

9^-5 = 9^4  x  9^-9

4-9 = -5

7 0
3 years ago
Please help me with this
timofeeve [1]
6 divided by 4(3/5)
After multiplying the fraction we get 23/5
Dividing a fraction will result to multiplying
6 * 23/5
138/5 is the answer.
8 0
3 years ago
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