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
If 1 inch = 50 miles how many miles is 8.5 in
GenaCL600 [577]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 8.5 in = 425 miles

If 1 mi = 50 inches, multiply by 8.5:

50 x 8.5 = 425

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

7 0
3 years ago
If f is a function such that f(b)-f(a)/b-a=2, then which of the following statements must be true?
solong [7]
Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1.  If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change.  thus your answer would be C
3 0
3 years ago
What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest
maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

                 Given diagram is combination of Rectangle and Semi circle.

Step:1

         Res the attachment,

                      Area of given diagram = Area of A + Area of B..............(1)

Step:2

         For A,

         The A section in the given diagram is semi circle,

                     Diameter of semi circle = Total distance - ( 2+3)

                                          ( ∵ 2, 3 are top distance in the given diagram)

                                                             = 10 - 5

                                        Diameter, d = 5 cm

                                             Radius, r = \frac{d}{2}

                                                          r = \frac{5}{2}

                                                         r = 2.5 cm

                                          Area, A_{A}  = \frac {\pi r^{2} }{2}........................(2)

                                                    A_{A}  = \frac {\pi (2.5)^{2} }{2}  

                                                           = \frac {\pi ( 6.25) }{2}

                                                           = \frac{19.63}{2}

                                                     A_{A} = 9.8174 cm^{2}

Step:3

               For B,

               Area of rectangle is,

                                                      A_{B} =lb.....................(3)

              Where, l - Length = 10 cm

                          b - Width = 2 cm

              Equation (3) become,

                                                            = (10)(2)

                                                            = 20

                                    Area of B, A_{B} = 20 cm^{2}

Step:4

               From the equation (1),

                               Area of given diagram = 20+ 9.81747

                                                            Area = 29.817 square centimeters

Result:

            The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0
3 years ago
Which shows the following expression after the negative exponents have been eliminated?
Veronika [31]
So do you have A B C it would help
5 0
3 years ago
The number of men and women participating in the Winter Olympic Games has been steadily increasing in recent years. In the 19th
Montano1993 [528]

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

More can be learned about a system of equations at brainly.com/question/24342899

6 0
2 years ago
Other questions:
  • Can someone help me please
    8·1 answer
  • 14 - 5 + 3 - 11 = <br> A. 1 0<br> B. -1 <br> C.-2
    15·2 answers
  • John and Liz are sharing a large pizza. John ate 2/3 of the pizza, and Liz ate 1/4 of the pizza. How much of the pizza is left?
    15·1 answer
  • Double bubble/ triple 100 points !!!!!!
    14·2 answers
  • A snowboarder is traveling at 6 miles every 9 minutes. At this rate, the
    12·2 answers
  • 24 square units 18 square units 12 square units 9 square units arrowRight arrowRight arrowRight arrowRight
    13·1 answer
  • A TV, has a listed price of $823.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax inc
    9·2 answers
  • Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism​
    10·1 answer
  • 3. Multiply: (x + 8)(x - 12)<br><br> Please show work
    14·2 answers
  • Write an experession that shows 10 ^4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!