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oee [108]
2 years ago
11

Joanna works in a marina. Boat servicing costs $70.00, plus $4.50 for each litre of oil. Joanna serviced a boat and made out a b

ill for $88.00. How many litres of oil did she use?(use equations)
Mathematics
1 answer:
choli [55]2 years ago
6 0
$88.00 minus $70.00 base fee is $18.00 then you divide that by $4.50.
The answer is 4 liters.
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Find the nth term of this sequence 2 5 8 11 14 ...
mariarad [96]
Each number is added by 3 so it's 17 20 23 26 29 32 35 38 41 and so on.
8 0
3 years ago
Read 2 more answers
Given h(x) = -x + 1 find h(0)
g100num [7]

Answer:

1

Step-by-step explanation:

Just replace 0 instead of x and simplify.

5 0
3 years ago
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around
Alex777 [14]
One complete revolution of the minute hand sweeps a central angle of 360° which is equivalent to 60 minutes.
That is, the minute hand creates
(360°/(60 min) = 6 degrees/min.

From 3:35 to 3:55 is 20 minutes.
It sweeps a central angle of
 (20 min)*(6 deg/min) = 120°

Because 360° = 2π radians,
120° = (120/360)*2π = (2π)/3 radians

Answer:
 \frac{2 \pi }{3} \,radians
In decimals, this is 2.1 radians (nearest tenth)

Part 2:
Because the minute hand is 4 inches long, the length of the arc swept is
(4 in)*(2π/3 radians) = 8π/3 inches

Answer:
 \frac{8 \pi }{3} \,inches
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7 0
3 years ago
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

Substituting the values, we have,

\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

\frac{0.9903}{a}=\frac{0.3420}{140}

Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

a=405.4

Thus, the distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

4 0
3 years ago
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Law Incorporation [45]
5)  y ≥ -1/2
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