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
vlabodo [156]
1 year ago
15

Find the lengths of sides marked with variables (x, y, w, z). Show all work

Mathematics
2 answers:
natita [175]1 year ago
6 0

Answer:

  • 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use <u>trigonometry</u> to solve for unknowns.

<h3>1) Use sine</h3>
  • <em>sine = opposite leg / hypotenuse</em>
  • sin 27° = x/42
  • x = 42 sin 27°
  • x = 19.07 m (rounded)

<h3>2) Use tangent</h3>
  • <em>tangent = opposite leg / adjacent leg</em>
  • tan 23° = 34/x
  • x = 34 / tan 23°
  • x = 80.10 ft

<h3>3) Use cosine</h3>
  • <em>cosine = adjacent leg / hypotenuse</em>
  • cos 48° = 38/x
  • x = 38 / cos 48°
  • x = 56.79 m (rounded)

tiny-mole [99]1 year ago
4 0

#1

  • sin27=x/42
  • x=42sin27
  • x=19.07m

#2

  • tan23=34/x
  • x=34/tan23
  • x=80.1ft

#3

  • cos48=38/x
  • x=38/cos48
  • x=56.79m
You might be interested in
(a2)(2a3)(a2 – 8a + 9)
r-ruslan [8.4K]

Answer:

-72a^3 +108a^2

Step-by-step explanation:

(2a)(6a)(2a-8a+9)= (2a)(6a)(-6a+9)=12a^2(-6a+9)

= -72a^3 +108a^2

8 0
2 years ago
51
Aleksandr [31]

Answer:

may be 13 I hope this is the right answer

3 0
2 years ago
Read 2 more answers
An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
hichkok12 [17]

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

5 0
3 years ago
Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
Elodia [21]

did you ever get the answer? taking the thing rn help!!

4 0
2 years ago
Simplify the expression: 2(x+h)^2 - 2x^2 over (x+h) - x
Karolina [17]

Answer:

4x

Step-by-step explanation:


4 0
3 years ago
Other questions:
  • Multiply decimal with work <br><br>30.6 × 4200​
    14·1 answer
  • What is 23,009,040 in scientific notation
    14·1 answer
  • Using the order of operations, what should be done first to evaluate 12 divided by (negative 6) (3) + (negative 2)? Divide 12 by
    6·2 answers
  • √3x+1=x+1 how to do you solve this equation using step by step
    12·1 answer
  • Explain in words,how to find the product of -4(-1.5) using a number line. Where do you end up?
    15·1 answer
  • Note the graph of an athletes performance after finishing a triathlon. The x-axis measures time in hours, and the y axis measure
    10·1 answer
  • Sally has 6 boxes of colored pencils only three of the boxes contain 12 colored pencils each .the remaining boxes each contain 2
    11·1 answer
  • At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations a
    12·1 answer
  • 2. Emma knows that her mix of 5 cups of orange juice to 2 cups of ginger
    13·1 answer
  • The dimensions of these rectangles are given to the level of accuracy indicated in brackets.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!