Answer:
The area of the triangle is of 8 units of area.
Step-by-step explanation:
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (1,0) (5,0) (3,4). So




The area of the triangle is of 8 units of area.
Answer:
4.3
Step-by-step explanation:
Apply trigonometric ratios to find the answer.
Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.
From angle theta, the trigonometric ratio sine can be used:
sinθ = 
After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.
Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.
sin50.7 = opposite/hypotenuse
sin50.7 = CD/5.5
sin50.7 * 5.5 = CD
4.3 ≈ CD
Write them in order from least to greatest,
11.9, 12.0, 12.3, 12.4, 12.4, 12.5, 12.7,12.8, 12.9, 13.1, 13.2, 13.8
then eliminate one from each side until you find the middle one,
12.5, 12.7
you have two middle, so you find the middle number in between them.
12.6 is the median.
Answer:

Step-by-step explanation:
They are equal. When the negative sign is inside the box the absolute value is positive, when the negative sign is outside the box THEN it is negative.
Answer:16 weeks
Step-by-step explanation:Since we know Sam can make 20 paintings in 4 weeks we must add the weeks
8 weeks will be 40 paintings
12 weeks will be 60 paintings
16 weeks will be 80 paintings
Hence the answer is 16 weeks to create 80 paintings