1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luba_88 [7]
3 years ago
14

Solve for x (round to the nearest thousandth)

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

You might be interested in
Find the area and perimeter of the shape below
Sladkaya [172]

Solution:

<u>Note that:</u>

  • Area = Base x Height
  • Perimeter = Sum of all sides

<u>Finding the area of the parallelogram:</u>

  • Area = Base x Height
  • => Area = 9.2 x 3.8
  • => Area = 34.96 cm²

<u>Finding the perimeter of the parallelogram:</u>

  • Perimeter = Sum of all sides
  • => Perimeter = 2(4.1) + 2(9.2)
  • => Perimeter = 26.6 cm

Correct option is D.

3 0
2 years ago
Read 2 more answers
Hello da 234234r32 ef3qew3e2wr3qefwasdwasd
scoray [572]
Ah, thank you. your question truly made the most of sense.
3 0
2 years ago
A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and
mr Goodwill [35]

Answer:

Bias for the estimator = -0.56

Mean Square Error for the estimator = 6.6311

Step-by-step explanation:

Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.

To find - Determine the bias and the mean squared error for this estimator of the mean.

Proof -

Let us denote

X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)

Now,

An estimate of mean, μ is suggested as

\mu = \frac{3X_{1} + 4X_{2}  }{8}

Now

Bias for the estimator = E(μ bar) - μ

                                    = E( \frac{3X_{1} + 4X_{2}  }{8}) - 4.5

                                    = \frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5

                                    = \frac{3(4.5) + 4(4.5)}{8} - 4.5

                                    = \frac{13.5 + 18}{8} - 4.5

                                    = \frac{31.5}{8} - 4.5

                                    = 3.9375 - 4.5

                                    = - 0.5625 ≈ -0.56

∴ we get

Bias for the estimator = -0.56

Now,

Mean Square Error for the estimator = E[(μ bar - μ)²]

                                                             = Var(μ bar) + [Bias(μ bar, μ)]²

                                                             = Var( \frac{3X_{1} + 4X_{2}  }{8}) + 0.3136

                                                             = \frac{1}{64} Var( {3X_{1} + 4X_{2}  }) + 0.3136

                                                             = \frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})]  }) + 0.3136

                                                             = \frac{1}{64} [{3(57.76) + 4(57.76)}]  } + 0.3136

                                                             = \frac{1}{64} [7(57.76)}]  } + 0.3136

                                                             = \frac{1}{64} [404.32]  } + 0.3136

                                                             = 6.3175 + 0.3136

                                                              = 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0
3 years ago
If you do these ill give brainliest!! someone smart please help. im struggling
IRISSAK [1]
ANSWER:
15
32
31
10
23
6.5
35
4.8
63
66
200
72
Solution:
Say you have a triangle that is 2.5 by 1
The Number that comes first is the base and there’s only one bass and there’s two sides in those size are 1 so 1×2 is 2+2.5=4.5 so all you’re doing is adding up all the sides together on any shape
4 0
3 years ago
What is 59424.77 rounded to the nearest square mile
Viefleur [7K]
59,424.77 rounded to the nearest square mile is 59,425.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the best first step to write this linear equation in slope-intercept form?
    14·1 answer
  • What does 10/16 simplify to?
    10·2 answers
  • 5(x-3) /8 +2=7 solve? ​
    15·1 answer
  • The Area of the Rectangle
    13·1 answer
  • Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered fo
    7·2 answers
  • Solve for D 7.830 = 3.915(1.106)D
    9·1 answer
  • Solve the system.
    6·1 answer
  • Find the value of in the triangle below ! help pls Asap!!
    12·2 answers
  • Question 13 (2 points)
    5·1 answer
  • During a sale, a store offered a 15% discount on a tablet computer that originally sold for $460. After the sale, the discounted
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!