Answer:
![Given:-](https://tex.z-dn.net/?f=Given%3A-)
![volume: \pi r^2h/3](https://tex.z-dn.net/?f=volume%3A%20%5Cpi%20r%5E2h%2F3)
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<u>hope it helps...</u>
<u>have a great day!!</u>
6 2/3 is bigger because there are 3 pieces instead of 15
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
9514 1404 393
Answer:
(x, y) = (5, -8)
Step-by-step explanation:
The value of y is found by evaluating the equation for x=5.
y = 7 -3(5) = 7 -15 = -8
For x = 5, y = -8. As an ordered pair, this is (x, y) = (5, -8).
Answer:
16
Step-by-step explanation:
its a cube, so all the sides are 16.
hope you pass surface area it has ALOT of formulas ( :