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
kolbaska11 [484]
3 years ago
10

What is the correct value of b ?

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

b = 4

Step-by-step explanation:

Using the trigonometric identity

cos x = \frac{1}{secx} = \frac{1}{\frac{5}{3} } = \frac{3}{5}

Using the cosine ratio in the right triangle

cos x = \frac{adjacent}{hypotenuse} = \frac{3b}{20}

Hence

\frac{3b}{20} = \frac{3}{5} ( cross- multiply )

15b = 60 ( divide both sides by 15 )

b = 4

You might be interested in
A certain shop repairs both audio and video components. Let A denote the event that the next
alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next  component brought in for repair is an audio component

B: event that the next component  is a compact disc player

B \in A

P(A)= 0.6\\P(B) =0.05

We have to evaluate:

P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\P(B|A) = \dfrac{P(B)}{P(A)}\\\\P(B|A) = \dfrac{0.05}{0.6} = 0.12

0.12 is the required probability.

3 0
4 years ago
Pls show work ASAP <br> Multiplying polynomials
earnstyle [38]

Answer:

Step-by-step explanation:

1. 6w*2v + 3*6w= 12vw + 18w

2. 7(-5v) - 7(8)= -35v - 56

3. 2x*(-2x) - 3(2x) = -4x^2 - 6x

4. -4*v - 4(1)= -4v - 4

5. 2n*6n + 2n + 2*6n + 2= 12n^2 + 14n + 2

6. 4n(2n) + 4n(6) + 2n + 6= 8n^2 + 26n + 6

7. x(6x) - 2x - 18x + 6 = 6x^2 - 20x + 6

8. 8p(6p) + 8p(2) - 2(6p) - 4 = 48p^2 + 16p - 12p - 4= 48p^2 + 4p - 4

9. 6p(5p) - 6p(8) + 8(5p) - 40= 30p^2 - 48p + 40p - 40= 30p^2 - 8p - 40

10. 3m(8m) + 3m(7) - 8m - 7 = 24m^2 + 21m - 8m - 7= 24m^2 + 13m - 7

11. 2a(8a) - 2a(5) - 8a + 5 = 16a^2 - 10a - 8a + 5 = 16a^2 - 18a + 5

12. 5n(5n) - 5n(5) + 6(5n) - 6(5)= 25n^2 - 25n + 30n - 30= 25n^2 + 5n - 30

13. 4p(4p) - 4p - 4p + 1 = 16p^2 - 8p +

14. 7x(5x) + 7x(6) -6(5x) - 6(6)= 35x^2 + 42x - 30x - 36= 35x^2 + 12x - 36

7 0
4 years ago
PLEASE HELP!! Find the surface area of each figure to the nearest tenth. Show your work.
hram777 [196]
Surface area = 2(ab+bc+ac)
a=5.2 ft,  b=2.4 ft, c=3.5ft

Surface area = 2(5.2 * 2.4 + 2.4 * 3.5 + 3.5 * 5.2) =
                         2(12.48 + 8.4 + 18.2) = 
                         2 * 39.08 =
                         78.16 ≈ 78.2 ft²   ← <span>to the nearest tenth</span>
7 0
3 years ago
the radius of the curvature is 10ft and the height of the segment is 2ft whatthe length of the chord ? a.10ft, b.15, c.7.5 ,d.12
arsen [322]
Radius of curvature = 10'
Diameter of circle = 2 * 10' = 20'
height of segment = 2'
Let semi-chord be x.
Then by the intersecting chord property,
2*(20-2)=x^2
x^2=36
x=sqrt(36)=6
=>
chord=2x=2*6=12'
3 0
3 years ago
Alexis put $2000 in savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn?
Marizza181 [45]

Answer:

A

Step-by-step explanation:

Hihi. So, this is a nice application of interest rates as well as properties of exponentials/logarithms. As you know, the basic equation for interest rates is A= Pe^(rt) where A is your final amount, P is your initial, r is your rate of interest, and t is the time the money was accumulating interest. After cleaning up, you get in a situation due to you having e still lying around. Luckily, if you take the natural log of e, all you have left behind is the previous exponent. Thus, you can take the natural log of both sides, divide by 4, and then simplify to see that your final interest rate is ~6%

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement about the polynomial function g(x) is true?
    7·1 answer
  • PLEASE HELP 20 POINTS
    13·2 answers
  • What is the value of×
    15·1 answer
  • If graphed in the plane, would the line y=5x-2 pass through the point (4,15)
    10·1 answer
  • BRAINLIEST + Points! Explain
    7·1 answer
  • Decompose 7/8 into Ways
    12·1 answer
  • An astronaut who weighs 174 lb on Earth weighs 29 lb on the moon. Which of the following are correct amounts for weight on Earth
    9·2 answers
  • Andrew's team won 35% of their games. If his team won 7 games how many did they play?
    8·2 answers
  • Marty wants to reduce 140/360 . He wants to do it in one step.
    7·1 answer
  • At 3 P.M., the temperature is 12°F. It then began dropping 2°F every hour for 7 hours. What was the temperature after 7 hours?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!