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
Answer:
Yes
Step-by-step explanation:
With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.
So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil
Hope this helps!
Answer:
26
Step-by-step explanation:
3*2+4*5=6+20=26
If you have an iphone look up the app photo math its free on the app store what you do is take a picture of the problem using the app no matter how many problems use that i guarantee you will get it right.When you take the pic wit will show you step by step how to do it show your work
<h3><u>Answer:- </u></h3>
<h3><u>Solution</u> :-</h3>
The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³
<u>Some basic </u><u>derived </u><u>Units :- </u>
- area => m²
- volume cubic meter => m3
- speed meter per second => m/s
- acceleration => m/s²
- mass density meter => kg/m3
- specific volume cubic meter per kilogram m³/kg
