The number of way we can choose 2 males out of 8 is combinations of:
C(8,2)=7*8/2 =56/(1*2)=28
to choose 3 females out of 6
C(6,3)=6*5*4/(1*2*3)=120/6=20
the number of committees is= 28*20=560
Answer:
Step-by-step explanation:
first has 3 equal sides: equilateral
second has 2 equal sides: isosceles
third has 3 different sides: scalene
4th has a right-angle: right
5th has all angles <90deg: acute
6th has an angle >90deg: obtuse
Answer:
The length of the missing leg:
Step-by-step explanation:
Given
To determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
We can find the length of the leg b using the formula
substituting c = 10 and b = 6 in the formula
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
mi
Therefore, the length of the missing leg:
Answer:
1131.0 m^3
Step-by-step explanation:
Let h1 represent the height of the top cone, and h2 the height of the bottom cone. The volume of a cone is given by the formula ...
V = (1/3)πr^2·h
so the volumes of both cones together will be ...
V = (1/3)πr^2·h1 + (1/3)πr^2·h2 = (1/3)πr^2·(h1 +h2)
= (1/3)π(6 m)^2(12 m + 18 m) = 360π m^3
≈ 1131.0 m^3
