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ser-zykov [4K]
4 years ago
9

A portion of a hiking trail slopes upward at about a 6 degree angle. To the nearest tenth of a foot, what is the value of x, the

hiker's change in vertical position, if he has traveled a horizontal distance of 120 feet?
Mathematics
2 answers:
katrin2010 [14]4 years ago
5 0
The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft
DedPeter [7]4 years ago
5 0

12.4 is your answer my young boi

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Solve this problem out
Phoenix [80]

Solving the equation 2x^2-12x+6=0 using completing square method we get (x+3)^2=6

So, Option A is correct.

Step-by-step explanation:

We need to solve the equation 2x^2-12x+6=0 using completing square method.

Solving using completing square method

2x^2-12x+6=0

For completing the square we need to make formula a^2-2ab+b^2=(a-b)^2

Divide the equations by 2

x^2-6x+3=0

x^2-6x+3=0

Adding and subtracting (3)^2 on both sides.

(x)^2-2(x)(3)+(3)^2-9+3=0

(x+3)^2-6=0

(x+3)^2=6

Solving the equation 2x^2-12x+6=0 using completing square method we get (x+3)^2=6

So, Option A is correct.

Keywords: Solving Quadratic Equation

Learn more about Solving Quadratic Equation at:

  • brainly.com/question/2568692
  • brainly.com/question/1332667
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#learnwithBrainly

7 0
4 years ago
Hey guys please solve this for me!!
Leni [432]

Answer:

1.)  C = 76.1

2.) C = 5.8

Step-by-step explanation:

5 0
3 years ago
Could these triangles be congruent?
Mama L [17]

Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

8 0
4 years ago
Read 2 more answers
A factory produces widgets whose length must be within 1.5 mm of an ideal length of 47 mm. A factory supervisor wants to mark ru
Nat2105 [25]

Using absolute value, it is found that:

  • The situation is described by the following equation: |l - 47| = 1.5
  • The markings should be between 45.5mm and 48.5mm.

---------------------------

The definition of the <em>absolute value function</em> is as follows:

|x| = x, x \geq 0

|x| = -x, x < 0

----------------------------

The length should be set to 47mm with an allowance of 1.5mm, which means that <u>the absolute value of the difference between the length and 47 should be 1.5</u>, thus:

|l - 47| = 1.5

----------------------------

The solutions are:

l - 47 = -1.5 \rightarrow l = 45.5

l - 47 = 1.5 \rightarrow l = 48.5

The markings should be between 45.5mm and 48.5mm.

A similar problem is given at brainly.com/question/24514895

3 0
3 years ago
Explain how you can use doubles when multiplying with 4 to find 4x8
aleksandr82 [10.1K]
I am not posotive about this but I am going to try. I think you can use doubles by like putting it into groups of 4 and then make sure you a total of 32.
3 0
3 years ago
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