Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
Answer:

(You only need to give one solution)
Step-by-step explanation:
We have the following equation

First, we need to foil out the parenthesis

Now we can combine the like terms

Now, we need to factor this equation.
To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.
The pair of numbers that would do this would be 1 and -4.
This means that our factored form would be

As the first binomial is a difference of squares, it can be factored futher into

Now, we can get our solutions.
The first binomial will produce two complex (Not real) solutions.


So our solutions to this equation are

Well I can explain how Ted is wrong. 3 tenths multiplied by 100 is actually 30. The place value of the three goes up 2 times and the decimal goes backward by 2.
Answer:
2. 2.3
3. 37.2 m
Step-by-step explanation:
2. tan theta = opposite/ adjacent
tan 25 = x/5
Multiply each side by 5
5 tan 25 = x/5 *5
5 tan 25 = x
2.331538291
To the nearest tenth
2.3 =x
3. We want to find the height or y
sin theta = opposite/ hypotenuse
sin 60 = y /43
Multiply each side by 43
43 sin 60 = y/43 * 43
43 sin 60 = y
37.23909236 = y
To the nearest tenth
37.2 =y
The light pole is 37.2 meters tall