Answer:
$33.6.
Step-by-step explanation:
40 x .16 = 6.4
40 - 6.4 = 33.6.
Feel free to let me know if you need more help. :)
Find x in the right triangle.
A) 63
B) 175
C) 147
D) 324
Answer: C
Step-by-step explanation:The solution is 7
3
. This problem can be solved using the Pythagorean Theorem leg2 + leg2 = hyp2. 142 - 72=147,
147
Final answer:
The value of x squared is 147, leading to the answer choice C for the value of x in the right triangle.
Explanation:
To find the value of x in a right triangle where the hypotenuse = 14, and the length of the other side = 7, we will use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
This can be written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Using the given values we have: 14² = 7² + x².
Simplifying this, we get 196 = 49 + x2, and then 196 - 49 = x², which leads to 147 = x².
Therefore, x = √147.
After calculating, we find that x = √147, which simplifies to x = 12.124 (rounded to three decimal places).
However, the answer choices seem to require the square of x, in which case the answer would be 147, which is option C.
Are the lines 2x+3y=2 and 2x+3y=4 parallel?
Answer:
Yes.
Step-by-step explanation:
Since the coefficients of x and y, respectively, are equal, the answer is yes. These two lines are two different parallel lines with the same slope and different y-intercepts.
Answer:
2x+3y=2--------(1)
2x+3y=4----------(2)
|d|=|C2-C1|/SQ.RT A SQ.+B SQ.
=4-2/RT.4+9
=2/RT.13 UNITS
what is the distance between ( 4, 7 ) and ( 2, 2 )
Answer:
it would be [tex]\sqrt{29}[/tex]
Step-by-step explanation:
To calculate the distance between (4, 7) and (2, 2), we use the distance formula, derived from the Pythagorean theorem: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. Substituting our values into the equation gives a final answer of √29 units.
Explanation:
The subject of your question pertains to the calculation of distance between two points in a two-dimensional space, which is a concept in Mathematics. The points given are (4, 7) and (2, 2). To find the distance between these points, we can use the distance formula, derived from the Pythagorean theorem. The formula is d = √[(x₂ - x₁)² + (y₂ - y₁)²].
Here, (x₁,y₁) is (4, 7) and (x₂,y₂) is (2, 2). By substituting these values into the formula, we get
d = √[(2 - 4)² + (2 - 7)²]
= √[(-2)² + (-5)²]
= √[4 + 25]
= √29.
Therefore, the distance between (4, 7) and (2, 2) is √29 units.
Learn more about Distance Calculation here:https://brainly.com/question/34212393
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