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
Scrat [10]
3 years ago
8

Will give brainiest if correct A. 69.1 B. 20.9 C. 22.4 D. 67.6

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0
Using sin law;

sin A/ a = sinB/ b

where A = C or 90 degrees; a = 21
B = ? , b = 8

solving for b;
sin(90) / 21 = sin(B) / 8 ; B = 22.39 degrees

Total angle of triangle = 180

180 - 90 - 22.39 = x
x = 67.607 degrees
Anna35 [415]3 years ago
4 0
I think it's D. But I'm not sure if my math was correct
You might be interested in
Erik's disabled sailboat is floating stationary 3 miles east and 2 miles north of Kingston. A ferry leaves Kingston heading towa
sergij07 [2.7K]

Answer:

Step-by-step explanation:

Let's suppose that Ballard is an origin with coordinates (0;0)

Ballard is 8 miles south and 1 mile west of Edmonds ⇒ Edmonds is 1 mile east and 8 miles north of Ballard.

Thus, coordinates of Edmonds (0+1; 0+8) (1;8)

Edmonds is 6 miles due east of Kingston. So, is 6 miles due of Edmonds

Thus, Kingston coordinates (1-6;8) (-5:8)

Sailboat is 3 miles east and 2 miles north of kingston

So, coordinates of sailboat are (-5+3; 8+2) (-2;10)

a)

Ferry leaves Kingston towards Edmonds at mph and Edmonds is 6 miles due east of Kingston.

Initial ferry coordinates as calculated above are equal to Kingston coordinates (-5;8)

After 20 minutes the ferry turns to south.

This distance travelled (20min) is d=9mph*20/60h=3 miles

So, ferry travelled 3 miles toward east in 20 min

Then, coordinates became (-5+3;8+0) (-2;8)

Thus, we have a line connecting two points (-5;8) and (-2;8)

Line connecting them has an equation:

y-8 = (8-8)/(-2+5) * (x+5)

y-8=0

y=8 - This is the equation for the first 20 minutes of travel

Then, ferry turns due south (-2;8) and has a vertiacl line

The equation of verical line is x=a, so the equation will be x=2

b) The sailboat has a radar scope that will detect any object within 3 miles of the sailboat.

region looks like a circular disc with a center (-2;10)

(x+2)^2+(y-10)^2=3^2

(x+2)^2+(y-10)^2 <9 (interior of the circular disc)

(x+2)^2+(y-10)^2 >9 (exterior)

The equation of the line joining the Kingston and Edmonds is y=8

the point of intersection:

(x+2)^2+(8-10)^2=9

(x+2)^2=5

x is approximately 0.24; -4.24

(0.24;8) (-4.24;8) - intersection points

c) The ferry exits the radar during the trid due south long x=-2

The points of intersection of the circle and the line x=-2:

(-2+2)^2+(y-10)^2=9

0+(y-10)^2=0

y is 7.13

(-2;7)

d) Takes south turn at (-2;8), then ferry travels 0.8 miles up to point (-2;7) where it exists the radar zone

Speed is 9mph

The time taken to cover 1 mile = t=1/9hr=1/9 *60=6.667min

So, it exists after 6.67 minutes

e) Ferry enters at (-4.24;8) and takes turn due to south at (-2;8)

The distance travelled is = [-4.24+2]=2.24 miles

The time taken to cover these miles is = t=2.24/9 *60=14.93 min

After turning to south ferry remains in radar for 6.7 min

So, it remains in radar zone for 14.93+6.7=21.63min

8 0
2 years ago
What is 278 minus 149
Basile [38]

Answer:

129

Step-by-step explanation:

278 - 149 = 129

5 0
2 years ago
Read 2 more answers
Help Asap! 20 points! I have to pass math!
kirill115 [55]
12 is the answer to this question
7 0
3 years ago
HELP ASAP!!!!! SOMEONE HELP ME?!?!
Kitty [74]

Answer:

The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.

4 0
2 years ago
Read 2 more answers
SIMPLE INTEREST
cupoosta [38]
The answer would be 5 years. I=PxRxT.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is one third of 97.50
    15·1 answer
  • BRAINLIEST
    6·1 answer
  • Mark can clean his father's office in 30 minutes. His younger sister Lynn can clean the office in 40 minutes. How long will it t
    8·2 answers
  • Please brainliest <br> And happy Halloween
    6·1 answer
  • PLEASE HELP!! SHOW WORK!!A bag has five red marbles, six blue marbles, and four black marbles. What is the probability of pickin
    10·1 answer
  • A sound system has a regular price of $249. Find the total cost of it is on sale for 40% off and the sales tax is 6.25%
    13·1 answer
  • Write the sentence as an equation.
    11·1 answer
  • Five times a number is 80 less than 7 times the number. Find the number.
    15·1 answer
  • Helpp please nobody has answered any of my 3 and i dont have much time go to my profile and find em
    8·1 answer
  • PLEASE HELP!!!!!!!!!!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!