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Paul [167]
3 years ago
5

Prove algebraically that 8.99999... = 9

Mathematics
2 answers:
kirill115 [55]3 years ago
8 0
1/9 = 0.111...
9/9 = 0.999... but also 1 because 9 divided by 9 is 1. Add 8 to both sided to get 8.9999... and 9
Jobisdone [24]3 years ago
5 0
You can't, it has been done before but there is a fault in the working because the 2 numbers are different. If you want to see a video of someone attempt it, I believe there is a video on the numberphile channel.

Hope this helps :)
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A funnel is shaped approximately like a cone. The diameter of the base is 6 inches. The height is 10 inches.
krek1111 [17]
The volume of a cone is 1/3 x pi x radius^2 x height, so after substituting the values, we have the equation 1/3 x 3.14 x 3^2 x 10, and we have 3^2 because the radius is half the diameter. First, 3^2 = 9, and 1/3 x 3.14 is approximately 1.046. 1.046 x 9 = 9.414, and lastly, 9.414 x 10 = 94.14. So the approximate volume of the funnel is 94.14.
4 0
4 years ago
A hiker moves 3 meters east, which is vector A. Then the hiker moves four meters north, which is vector B. The displacement vect
Fantom [35]

Answer:

About 53.13 degrees.

Step-by-step explanation:

If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.

vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is \frac{4}{3}

atan(\frac{4}{3}) = 53.13 degrees.

If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.

8 0
4 years ago
Read 2 more answers
Juan Rios rented a car for a 3-day weekend. The
uysha [10]

Answer:

17000

Step-by-step explanation:

I hope this helps:)

5 0
3 years ago
2.5+0.15p=0.4p what value of p makes the equation true?
kykrilka [37]

Answer:

x=10

Step-by-step explanation:

Rearrange to get p on one side

2.5=0.4p-0.15p

2.5=0.25p

Divide both sides by 0.25

2.5/0.25=x

x=10

5 0
3 years ago
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The cafe served 13 mugs of green tea and 11 mugs of coffee. Each mug of tea contained 3/4 cup of tea, while each mug of coffee c
soldier1979 [14.2K]
3/4=9/12
2/3=8/12

they served more tea
7 0
3 years ago
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