ΠD = C
πD = 1π
D = 1π/π
D = 1
<span>the length of the diameter is 1 unit</span>
Hello,
4+0j=4(cos 0+j*sin 0)
3+4j=√5(cos 53.1301...°+j*sin 53.130102...)
2-2j=2√2(cos 45°-j*sin 45°)
Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
The answer is metres (m).
1 mm = 0.1 cm
<span>7,018 mm = 7,018 * 0.1 cm = 701.8 cm
1 mm = 0.01 dm
</span>7,018 mm = 7,018 * 0.01 dm = 70.18 dm
1 mm = 0.001 m
7,018 mm = 7,018 * 0.001 cm = 7.018 m
Answer is 150.72 cu.cm.
Let’s find the total cone volume first
Cone volume formula is 1/3 pi r^2 height
We know r = 6
We know height is 12
We will use 3.24 for pi
So
(1/3) (3.14) (6^2) (12) = 452.16
Now we want to find 1/3 of the volume so divide that by 3
Amount of water is 150.72 cu.cm.
Problem solved