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
givi [52]
3 years ago
15

Find part “a” Find part “b”

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

a = 3.74

b = 11.26

Step-by-step explanation:

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

α = 60°

β = 30°

h = 15

cos α = a/h                   cos β = a/h

cos 60 = x / 15           cos 30 = x / 15

0.5 * 15 = x                 0.866 * 15 = x

x = 7.5                         z = 13

we already calculate all the data of the largest triangle, now we have to calculate y, for this we will calculate it with one of the triangles that is formed with y

sin β = o/h

sin 30 = y / z

0.5 = y / 13

0.5 * 13 = y

y = 6.5

we can apply Pythagoras

h^2 = c1^2 + c2^2

z^2 = y^2 + b^2

13^2 = 6.5^2 + b^2

169 = 42.25 + b^2

169 - 42.25 = b^2

√126.75 = b

b = 11.26

a = 15 - b

a = 15 - 11.26

a = 3.74

You might be interested in
6
Nata [24]

Answer:

400,000km is represented as 8cm on the map!!!

Step-by-step explanation:

1cm=50000km

8cm=x

Criss cross

1cmx=8cm×50000km

divide both side with 1cm

x=8×50000km

x=400,000km

5 0
2 years ago
Please help on this question
son4ous [18]
The perimeter would be 48 feet
6 0
3 years ago
Walter's family plays a quick game together every night after dinner. Walter draws names out of a hat to determine which kind of
Harlamova29_29 [7]

Answer:1st 2/3 2nd 1/3 3rd 1/9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
One estimate shows that the number of people without access to safe drinking water is about one billion. How much water is requi
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

1 billion = 10^9

10^9 people * (10 Liters)/person = 10^10 Liters

3 0
2 years ago
Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?
solong [7]

Answer:

105.6

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The three sides of a triangle are 4cm, 6cm and 8cm.
    7·1 answer
  • A lorry tank was 1/6 full of petrol when the gauge indicated 17 litres. What is the full capacity of the tank in litres?​
    5·2 answers
  • What is the quote that of 2^4/2^-4
    8·1 answer
  • A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and se
    5·1 answer
  • ANSWER PLS ITS URGENT NEED DONE IN ONE MIN BUS IS COMING!!!! pls dont let me fail!!!!! (will mark as brainliest)
    13·2 answers
  • What is the effective interest rate on an account that earns 5.5% compounded monthly?
    5·1 answer
  • Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or th
    11·1 answer
  • What is:<br> (s+12)+(3s-8)<br> simplified?
    11·1 answer
  • Given the table, find 5 solutions to the equation.
    12·1 answer
  • Please help! i need this now!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!