Answer:
4
Step-by-step explanation:
Let's set up an equation using the formula for the area of a triangle.
Hint #22 / 3
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}
Area of a triangle
12
12
3
12
3
12
x
x
=
2
1
⋅base⋅height
=
2
1
⋅6⋅x
=3x
=
3
3x
divide both sides by 3
=
3
3
x
=
3
12
=4
The answer is: 
The explanation is shown below:
1. Cynthia rounds the number, which is identified as
, to one decimal place and the result is 6.3.
2. Based on this, we know that
could have been between 6.25 and 6.35. Therefore, the error interval for
is given by:

Where
indicates that the value 6.25 is included and
indicates that the value 6.35 is not included (Because if
had been exactly 6.35, Cynthia would round up to 6.4).
Answer:
2:1 that is 2 inches in real life is equal to 1 inch in the drawing.
Step-by-step explanation:
We are given the following in the question:
Longest side of the pool = 10 inches
Longest side of the pool in drawing = 5 inches
Scale:
We find the ratio of the real length of pool and the measurement of the length of the pool in the drawing.

Thus, we can say Paco's new drawing follows a scale of 2:1 that is 2 inches in real life is equal to 1 inch in the drawing.
Answer:
The expected number of days until the prisoner reaches freedom is 2.8.
Step-by-step explanation:
Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.
Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.
Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.
What is the expected number of days until the prisoner reaches freedom?
We multiply the probability of each door being used by the time that it leads to the cell. So
E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8
The expected number of days until the prisoner reaches freedom is 2.8.
The coordinate of the image after being reflected is R(3,4).
When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y- axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.