Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
Answer:
Solution given:
length [l]=20cm
breadth [b]=10cm
area of rectangle =l×b=20×10=200cm²
since 1cm=1000cm
than real area =200×1000²=200000000cm²
since
1 hectares =10000m²=10000×10000=100000000cm²
so
200000000cm²=2hectares
So,actual area of the piece of land in hectares is 2 hectares.
Answer:
27x^6y^9
Step-by-step explanation:
(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =
= 27x^6y^9
Answer:
Triangle AEC
Step-by-step explanation:
Triangle ABD seems to be congruent to triangle AEC, because AD looks like it's equal to AC, AB looks like it's equal to AE, and BD looks like it's equal to EC, satisfying the criteria for an SSS congruence. Of course you could also go by the angles for SAS, SAS or AAS.
Here they are:
36,16,81,64