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
sveta [45]
3 years ago
7

Help with this please

Mathematics
1 answer:
aliina [53]3 years ago
3 0
AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
You might be interested in
Determine the 15th term of the sequence -2, 4,...
Thepotemich [5.8K]
Mot enough information given.
The rule might be

-- add 6
or
-- double and add 8
or
-- square
or
-- multiply by -2 .

We need one more term to determine what the rule is for calculating the next term from the previous one.


The
7 0
2 years ago
Read 2 more answers
When seven basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select
irakobra [83]

Answer:

1 / 5040

Step-by-step explanation:

The number of ways that 7 basketball players can be arranged is 7! = 5040.  Only one of these arrangements is alphabetical.  So the probability is 1/5040.

8 0
3 years ago
AWARDING BRAINLIEST!!!! Using the distributive property of multiplication write 2(6r+18) in standard form and explain steps
densk [106]
Your answer is 21...

5 0
3 years ago
2-(-8)+(-3)= need answer
Ray Of Light [21]

Answer:

7

Step-by-step explanation:

2-(-8)+(-3)

2+8-3

10-3

7

8 0
3 years ago
Read 2 more answers
A bird caught a fish on the waters surface and flew in a stralght line diagonal to the water for 100 yards. Then, it dropped the
Masja [62]

Answer:

60           86.6

Step-by-step explanation:

Plato

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve this equation q(a+y)=67y+93
    12·1 answer
  • You buy a shirt that costs $9.95. With tax, you pay $10.65. Write and solve an equation to find the amount of tax x you paid.
    7·1 answer
  • Kayla had 101785.44 in a savings account with simple intrest. she had opened the account with 80020 exactly 2 years ago. what wa
    13·1 answer
  • Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at the
    14·1 answer
  • What is the slope of this line?The coordinates are: (-4,5),(0,6), and (8,8).
    11·1 answer
  • 783/32 as a mixed number
    15·2 answers
  • What is the slope of a line that passes through (-4,-13) and (19,11)?
    15·1 answer
  • Jess earns 5% cash back at restaurants. If she spent $213 at restaurants
    5·1 answer
  • If you could plz help it would be greatly appreciated. Questions in picture :)
    11·1 answer
  • Carnival M charges an entrance fee of $5.00 and $0.50 per ticket for rides. Carnival P charges and entrance fee of $7.00 and $0.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!