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ankoles [38]
3 years ago
14

Find the value of the circumference of a circle with the given diameter.

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0
C= 2πr, and 2r = D (diameter). So, you can also use this equation: C =D<span>π
Since we know the diameter, and we know the value of </span><span>π, we can easily calculate the value of circumference. 
C = D</span><span>π
C = 3.21</span><span>π 
</span><span>This means that the correct answer is B. 3.21 pi</span>
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Anit [1.1K]

Answer:

B

Step-by-step explanation:

The answer would be B, because the y-intercept is positive. To double check I used an online graphing calculator and it is correct.

Hope This Helps!   Have A Nice Day!!

8 0
3 years ago
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
PLEASEEE HELP WITH THESE TWO QESTIONS:
NeX [460]
The answer would be set B 
8 0
3 years ago
Read 2 more answers
In an examination , ten students scored the following marks : 60 , 58 , 90 , 51 , 47 , 81 , 70 , 95 , 87 , 99.
Feliz [49]

Answer:

Range = highest data - lowest data

99-47=

52

5 0
3 years ago
Solve the following exponent:<br><br> 70
Alika [10]

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

7 0
2 years ago
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