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katen-ka-za [31]
2 years ago
6

Solve for x and please roundddd

Mathematics
2 answers:
balandron [24]2 years ago
8 0

Answer:

\displaystyle 36,9

Step-by-step explanation:

\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x

<em>OR</em>

\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x

Information on trigonometric ratios

\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ

I am joyous to assist you at any time.

kati45 [8]2 years ago
6 0
Should be 37 degrees

We know the lengths of the adjacent and opposite sides when looking at the angle x, so we use those two sides to find the trig ratio.

So we use Opposite/adjacent (Tangent) Which is 54/72=0.75

Now we get out the trig ratio table. Because we used the tangent ratio (O/A) , we use that column to look for the closest number to 0.75.
The closest is 0.754, and the degree for it is 37 degrees

Rlly hope this helps :)))

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Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
Hitman42 [59]

Answer:

Two complex (imaginary) solutions.

Step-by-step explanation:

To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.

The discriminant formula for a quadratic in standard form is:

\Delta=b^2-4ac

We have:

3x^2+7x+5

Hence, a=3; b=7; and c=5.

Substitute the values into our formula and evaluate. Therefore:

\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11

Hence, the result is a negative value.

If:

  • The discriminant is negative, there are two, complex (imaginary) roots.
  • The discriminant is 0, there is exactly one real root.
  • The discriminant is positive, there are two, real roots.

Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.

6 0
3 years ago
Five times 2 times minus 8 equals
leonid [27]
The answer would be two. 
4 0
2 years ago
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Which of the following ordered pairs best describes the location of point B? help
alekssr [168]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
One mole of iron (6 × 1023 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-c
MrMuchimi

Answer:

a) k_{s} = 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m

Step-by-step explanation:

Length of iron bar = L = 2.7m;

side length of cross section = a = 0.07cm = 0.0007m;

x = 2.7 cm = 0.027m;

m = 100kg;

ρ = 7.87gm/cm³;

da = 2.28 * 10⁻¹⁰m;

a)

Fnet = F - mg

where Fnet = 0

So,

F = mg where F=k_{s}x

k_{s} = mg/x = 100*9.8/0.027

k_{s} = 3.6 N/m

b)

Nchain = Aw/Aa =a²/(da)²

                           = (o.ooo7)²/(2.28 * 10⁻¹⁰)²

                           = 9.43 * 10¹²

c)

Nbond = L/da = 2.7/2.28 * 10⁻¹⁰

                       = 1.18 * 10¹¹

d)

Spring stiffness of wire = ksi = (Nbondk_{s})/Nchain

                                      = [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)

                                      = 75.08 N/m

8 0
2 years ago
Dan's car depreciates at a rate of 15% per year. By what percentage has Dan's car depreciated after 3 years?​
Pavlova-9 [17]

The percentage of deprecation of the car in the third year is 38.59%.

<h3>What is deprecation?</h3>

Depreciation is the decline in the value of an asset as a result of wear and tear.

Deprecation in year 1 = 15%

Deprecation in year 2 = 15% x (100 - 15%) = 12.75%

Deprecation in year 3 = 15% x (85% - 12.75) = 10.84%

Sum of deprecation = 38.59%

To learn more about depreciation, please check: brainly.com/question/25552427

5 0
1 year ago
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