12,571.4286 you subtract 1000 from the total, and divide by 7.
Answer:
15.59
Step-by-step explanation:
The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.
Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.
Answer: the most straight-forward way to prove this is to plug -5 in the equation as the value of x. If the the equality holds, it is proven that x=-5:
3x+1=-14 | use x=-5
3(-5)+1=-14
-15+1=-14
-14=-14 --> equality holds --> x=-5 is a solution to 3x+1=-14
