The answer is 136 because 7 x 18 is 126 then + 10 is 136
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
So
Given
Volume (v) = 57ft³






![r = \sqrt[3]{13.6}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B13.6%7D%20)
Therefore r = 2.4 ft
I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft
Answer:
x if -3is less than x is less than -1
5 is -1 is less than x is less than 1
Step-by-step explanation:
You find the slope of the line for the first piece when the x-values range from -3 to -1.
For the second piece, the line is y=5 because the line is horizontal.
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i