Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
The formula to find the volume of a sphere is: V=

Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get:



And we get approximately

Hope this Helps :D
Answer:
Step-by-step explanation:
h^2=x^2+y^2, here x and y are equal so we can say
h^2=2x^2, we see that h=2(2^(1/2)) so
2x^2=8
x^2=4
x=2
Simplify the <u>expression</u>.
2m
Answer:
9.7cm
Step-by-step explanation
According to the sine rule;
a/sinA = c/sinC
8/sin55 = c/sin82
Cross multiply
csin55 = 8sin82
c(0.8192) = 8(0.9903)
c = 8(0.9903)/0.8192
c = 7.9221/0.8192
c = 9.67
Hence the value of c to the nearest tenth is 9.7cm