Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,21
dimulka [17.4K]
<span>The first and last four numbers each have a difference of one between them.
The fifth number has a difference of 10 between it and the previous number.
The middle number has a difference of 20 between itself and the two numbers that surround it.
Counting in this way could have been a result of a lot of things to count, and spot checking along the way (when the numbers have a difference of 1).</span>
Answer:
2x(x2-2x-15)
2x(x-5).(x+3)=0
x=0
x=5
x=-3
Step-by-step explanation:
Distribute each term in one parenthesis to the other terms in the other parenthesis.
(x - 2) (2x + 3)
First, distribute x. When distributing, multiply
x(2x) = 2x²
x(3) = 3x
Next, distribute the other term, -2. Remember to change the signs.
-2(2x) = -4x
-2(3) = -6
-------------------------------------------------------------------------------------------------------------------
2x² + 3x - 4x - 6
Combine like terms
3x - 4x = -x
2x² - x - 6
-------------------------------------------------------------------------------------------------------------------
2x² - x - 6 is your answer
hope this helps
1. P(getting all head)=

2. Event: getting all head can happen in only one way: HHH
3. n(Sample space) can be calculated by
a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE
or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.
4. So finally P(getting all head)=