Answer:
it might be c not to sure
Step-by-step explanation:
sorry if u get it wrong
Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
0.35 = 35/100.
Can be simplified. Divide by 5.
= 7/20
Answer:
Raisins = 25 kg
Nuts = 15 kg
Step-by-step explanation:
Given that:
Kilograms of snack to be made = 40 kg
Price per kg would be $4.75kg.
Price of 40 kg would be = 4.75 * 40 = $190
Let,
x be the kilograms of raisins
y be the kilograms of nuts
According to given statement;
x+y=40 Eqn 1
4.00x+6.00y=190 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=40)
4x+4y=160 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=190-160
4x+6y-4x-4y=30
2y=30
Dividing both sides by 2
Putting y=15 in Eqn 1
x+15=40
x=40-15
x=25
Hence,
Raisins = 25 kg
Nuts = 15 kg
<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>
Answer:
<em>x = -9</em>
<em>y = 2</em>
Step-by-step explanation:
<u>Solve the system:</u>
2x + 3y = -12 [1]
2x + y = -16 [2]
Subtracting [1] and [2]:
3y - y = -12 + 16
2y = 4
y = 4/2 = 2
From [1]:
2x + 3(2) = -12
2x + 6 = -12
2x = -18
x = -18/2 = -9
Solution:
x = -9
y = 2
