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
ExtremeBDS [4]
3 years ago
13

How do I solve for d(real answers only please)

Mathematics
1 answer:
mezya [45]3 years ago
3 0

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  \cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}

__

The two operations, <em>multiply by d</em> and <em>divide by cos(36°)</em> can be combined into one: <em>multiply by d/cos(36°)</em>. Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

<em>Comment on numerical precision</em>

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

You might be interested in
The value of Q is given by the relation Q = 17m. If Q and m are integers with Q greater than 150 and less than 160, then which o
zloy xaker [14]

Answer: Value of m = 9

Step-by-step explanation:

Given that the relationship between Q and m is;

Q = 17m

Make m the subject of formula

M = Q/17

If Q is greater than 150 and less than 160, then, let assume that

Q = 151, then

M = 151/17

M = 8.88

If Q = 159

M = 159/17

M= 9.35

Since m ranges from 8.88 to 9.35, the value of m = 9

6 0
3 years ago
7.2 is 15% of what number?​
polet [3.4K]

Answer:

48

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In the equation x/35 = 7, what is the value of x?<br> a. 7<br> b. 245<br> c. 35<br> d. 5
Marianna [84]
<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>
6 0
3 years ago
Read 2 more answers
What is the answer for 3.7-4.2n-3n+8
Romashka-Z-Leto [24]

The Answer:

11.7 - 7.2n

4 0
2 years ago
PLEASE HELP I NEED TO PASS THIS EXAM!<br>Given that triangle IHJ is equiangular, find x and y.
jok3333 [9.3K]
Use the interior angles theorem for the triangles I hope my answer helped if you have any questions don't be afraid to ask <span>(o^▽^o) <3</span>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Two assembly lines I and II have the same rate of defectives in their production of voltage regulators. Six regulators are sampl
    11·1 answer
  • A-
    9·1 answer
  • Find all missing angles
    5·1 answer
  • X^3+7x^2-36x 3 +7x 2 −36x, cubed, plus, 7, x, squared, minus, 36 The polynomial above has zeros at -6−6minus, 6 and 222. If the
    14·1 answer
  • How much minutes is 11:24 minus 10:45
    8·1 answer
  • What’s the solution ??
    7·1 answer
  • Consider the statement sqrt 300c9 = 10cx sqrt 3c. For what value of x is the statement true? x =
    11·2 answers
  • WILL GIVE BRAINLIEST (NO LINKS!)
    7·2 answers
  • How can I solve this problem? 4/6 minus 2/9?
    10·1 answer
  • Luigi has 9 more books than Mario. Luigi has 52 books . how many books does Mario have.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!