-9v-6+7v=6
-2v-6=6
-2v=6+6
-2v=12
v=-6
Answer: 24.84
Step-by-step explanation: 276%of 9 is 24.84
For question 1:
Part i)
2.6 x 2.6 = 6.76 cm squared
No unit conversions needed
Part ii)
1.2 dm = 1.2 / 1000000 = 0.0000012 cm
0.0000012 x 0.0000012 = 0.00000000000144 cm squared
Question 2:
16.5dm = 16.5/ 1000 = 0.0165 m
0.0165 x 0.0165 = 0.00027225 m squared
I hope this has helped
Answer:
(a) 315°
(b) 3°
(c) 238°
Step-by-step explanation:
Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.
<h3>(a)</h3>
The bearing of P from R is 180° different from the bearing of R from P it will be ...
135° +180° = 315° . . . . bearing of P from R
__
<h3>(b)</h3>
The bearing of Q from R is 48° more than the bearing of P from R, so is ...
315° +48° = 363°, or 3° . . . . bearing of Q from R
__
<h3>(c)</h3>
The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...
180° -48° -55° = 77°
The bearing of Q from P is 77° less than the bearing of R from P, so is ...
135° -77° = 58°
As above, the reverse bearing from Q to P is ...
58° +180° = 238° . . . . bearing of P from Q
I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
-------------------------
To summarize, we have these three angles
a = 123
b = 123
c = 57