Answer:
x = -3
Step-by-step explanation:
16x − 4 + 5x = -67
Combine like terms
21x -4 = -67
Add 4 to each side
21x-4+4 = -67+4
21x = -63
Divide each side by 21
21x/21 = -63/21
x = -3
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Answer:
False
Step-by-step explanation:
A square and a parallelogram could have proportional sides but the angles would not be the same
Answer:
15.85%
Step-by-step explanation:
Given:
Acres damaged (burned) = 6,500 acres
Acres in total forest = 41,000 acres
Hence the amount of damaged forest as a fraction of the total forest,
= 
= 
expressed as percentage = x 100% = 15.85%
Answer:
I have known a man who uses math in their job/career to do problem solving. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.
Step-by-step explanation:
I have known a man who uses math in their job/career. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.
He mentioned that he normally does a lot of problem solving tasks on a regular basis as he likes to observe the situation logically and then solving accordingly based on critical thinking and logic.
He mentioned some of his problem solving skills using which he tends to do a lot of problem solving tasks. These problem skills are as follows:
- Understanding the logic and implementing it
- Logical calculations to solve the problem
Keywords: problem solving, communication, observation
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