Step-by-step explanation:
<u>Given</u><u>:</u>
Central Enlargement.
AC=4
AB=5
BC=3
Opp=3
Hyp=5
<u>Required</u><u>:</u>
Sin<A
<u>Formula</u><u>:</u>
Sin<A=Opp/hyp
<u>Solution</u><u>:</u>
Sin<A=Opp/Hyp
Sin<A=3/5 or 0.6
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of red

Substitute value for n(Red) and calculate Total


Divide numerator and denominator by 5

9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
__
(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
__
(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
__
(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
Start with hours worked 6 x $9 = 54
Then commission $700 x 0.12 (12% converted to a decimal) = $84
Add up 54 + 84 = $138 total income
So answers are A, the first C (you make $84 in commission), and the last one, you make $138 in total.
Answer:
x = 55
Step-by-step explanation:

Hope it helps.
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