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elena-14-01-66 [18.8K]
3 years ago
15

What is the circumference of a circle with a diameter of 50 mm?

Mathematics
1 answer:
Doss [256]3 years ago
3 0
157.1 mm

C x d
3.14 x 50
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Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
melomori [17]
We have a circumference that is given by the following equation:

x^{2}+y^{2}=49

We can write this equation in its standard form as follows:

 x^{2}+y^{2}=7^{2} \\ where \ the \ radius \ r=7

On the other hand, the linear function is given as the following table:

x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18

 Finally the intersects are:

 P_{1}(33.70, -2.26) \ and \ P_{2}(0.91, -8.18)
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7 0
3 years ago
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Find the distance between the points (-1,-8) and (-3,-2). Round your answer to the nearest hundredth.
Ket [755]

Answer:

i dont know

Step-by-step explanation:

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3 0
3 years ago
On which number do i put a vinculum line on 0.166666667?I WILL PUT BRAINLIST if it's useful
MAVERICK [17]

Answer:

On 6

Step-by-step explanation:

On 6 to show that it continues

6 0
3 years ago
Need help with 2 and 3 and express I’m radical form
kondaur [170]
This is just simple Pythagorean’s theorem. a^2 + b^2 = c^2

Number 2:
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt 75 = 5*sqrt(3)

Number 3:
4^2 + x^2 = 7^2
16 + x^2 = 49
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4 0
3 years ago
Figure A ~ Figure B<br> Find the volume of Figure A
postnew [5]

9514 1404 393

Answer:

  1 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of corresponding linear dimensions.

  Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64

  Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m

The volume of figure A is 1 m³.

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