Answer:
1) 128
2) 32
Step-by-step explanation:
1) 8C1×4C1×4C1 = 128
2) 5C1 + 5C2 + 5C3 + 5C4 + 5C5
= 32
From what I'm understanding of these questions, the biggest thing you need to answer these is the formulas for cylinders and triangular prisms. I'm not sure what the quantities are for either question so I'm going to work with made up numbers to give examples for the formulas. For number 2 with the cylinder, let's consider the formula first:
π × r2 × h <em>OR </em>pi (3.14) times radius squared times height
If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:
r = 2; double it, resulting in 4
pi x 4^2 x 6
3.14 x 16 x 6
= 301.44
Work with the actual numbers you have and you're good to go.
For number 3, reducing something by 1/2 means dividing by 2. Let's consider the formula and then work through another example:
1/2 x b x h x l <em>OR </em> 1/2 times base times height times length
For the sake of an example, I'll use 10 for the height, 15 for the base, and 20 for the length:
h = 10; reduce by 1/2, resulting in 5
1/2 x 15 x 5 x 20
= 750
Plug in your actual quantities, and remember your volume units. Hope this helps!
Answer: 
Step-by-step explanation:
Given
inclination is 
Mountain is 
high
Cable is tied 
from the base of the mountain
From the figure, length of the shortest path is 
It is given by using Pythagoras theorem
Answer:
I think it's 50 degrees...<em>(</em><em>alternative</em><em> </em><em>angels</em><em>)</em>
If I had to choose a business to start off with I would start a lemonade stand With cookies
First let's do the lemonade Side Let's say I put $100 into the business And it cost a dollar per lemon $5 for 10 lb of sugar It takes about five lemons about and a pound of sugar to make one batch that makes about 20 cups of Lemonade Each cup of lemonade for cost me roughly $0.50 I would then sell Each cup of lemonade for $0.75 and make a 5 profit Now let's talk about the cookie portion of the business You have to get milk flour sugar and salt Together that cost maybe $10 per batch Of 50 cookies Which cost roughly $0.20 to Make You can sell them at with a profit of $0.05 for $0.25 After $25 Prophet.So overall you will make roughly $30
