Answer:
g(x)=10x-30 when x is 1
g(x)=-20. hence dats is d first function
g(x)=-20x+5
g(x)=-15 hence dats d second function
Answer:
B.
Step-by-step explanation:
You have to find the total of tickets which is 85 and find the non-winning tickets which is 63. So, the answer is 63:85.
Answer: 70 grams^3
Step-by-step explanation: volume = mass/density volume = 126/1.8 volume = 70 grams^3
This question is not complete
Complete Question
A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point
Answer:
a)8.717km
b) 54.146°
Step-by-step explanation:
(a)how far is the boat from its starting point.
We solve this question using resultant vectors
= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)
Where
Rcos θ = x
Rsinθ = y
= (4cos38,4sin38) + (5cos67,5sin67)
= (3.152, 2.4626) + (1.9536, 4.6025)
= (5.1056, 7.065)
x = 5.1056
y = 7.065
Distance = √x² + y²
= √(5.1056²+ 7.065²)
= √75.98137636
= √8.7167296826
Approximately = 8.717 km
Therefore, the boat is 8.717km its starting point.
(b)calculate the bearing of the boat from its starting point.
The bearing of the boat is calculated using
tan θ = y/x
tan θ = 7.065/5.1056
θ = arc tan (7.065/5.1056)
= 54.145828196°
θ ≈ 54.146°
The total 'parts' of the ratio is 10 (3+7).
Complementary angles add to 90 degrees.
Divide 90 by 10 and you get 9.
Each 'part' is 9.
3:7 * 9 = 27:63
One angle is 27 degrees and the other is 63 degrees.