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
irga5000 [103]
3 years ago
12

Find the value of each variable:

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

5√3 = b

5 = d

10√3 = a

15 = c

Step-by-step explanation:

Sin60° = opp/hyp

sin60° = b/10

10sin60° = b

5√3 = b

Cos60° = adj/hyp

Cos60° = d/10

10Cos60° = d

5 = d

Sin30° = opp/hyp

Sin30° = 5√3/a

a = 5√3/Sin30°

a = 10√3

Tan30° = opp/adj

Tan30° = 5√3/c

c = 5√3/tan30°

c = 15

You might be interested in
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
Solve 5u– 5(1–u)=u+8
Alekssandra [29.7K]

Answer:

u= -3

Step-by-step explanation:Solve for

u by simplifying both sides of the equation, then isolating the variable.

6 0
3 years ago
Read 2 more answers
Using the temperature conversion tables below, what is 50°F in degree Celsius?
vfiekz [6]

Answer:

The answer to your question is:

Step-by-step explanation:

Convert 50°F to Celsius

Formula

                  °C = (°F - 32) x 0.56

Process

                   °C = (50 - 32) x 0.56

                  °C = 18 x 0.56

                  °C = 10.08

6 0
2 years ago
Find the producy of 36 and 62
Serhud [2]
***product

36 x 62 = 2232
7 0
3 years ago
How do you solve (3+z)6+18z?
Alex787 [66]
18 + 6z + 18z
24z + 18
4 0
2 years ago
Other questions:
  • Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
    9·2 answers
  • I'm confused on how to do this
    13·1 answer
  • 3.366 rounded to the nearest tenth of a ounce
    13·2 answers
  • HELP PLEASE!!!!dont answer just for points:(
    11·1 answer
  • H(x) = 18.75 - 4.53x What is the value of h(−11)?
    12·1 answer
  • A Helicopter hovering at 1,750 feet begins descending at a rate of 250 feet per minute. How many minutes will it take the Helico
    5·1 answer
  • Answers for these two questions
    11·1 answer
  • PLEASE HELP ASAP I WILL GIVE BRAINIEST AND LIKE IF CORRECT!!! This is my 3 time reposting.
    8·1 answer
  • Save me look at pic giving brainlyest
    14·2 answers
  • 9th Grade Geometry<br><br> Describe and correct the error in finding the length of line segment AB
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!