- Bicycles: 1 seat and 2 wheels
- Tricycles: 1 seat and 3 wheels
So with this, we will be making a system of equations. One representing the amount of seats and one representing the amount of wheels. Let x = bicycles and y = tricycles:
With this, I will be using the substitution method. Firstly, subtract y on both sides of the first equation:
Next, substitute x in the second equation for (32 - y) and solve for y:
<u>In short, there are 13 tricycles.</u>
Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>
In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
- Angle of elevation = ∅
- Opposite length = 125 ft
- Adjacent length = 172 ft
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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Answer: Option D
Step-by-step explanation:
We can use the binomial formula to solve this problem.
Where p is the probability of success, n is the sample size and x is the number of successes expected.
Note that in this case
(probability that a part is defective)
Then we calculate the probability
The cost of an apple pie is $13 and a blackberry pie is $18.
<h3>How to find the cost?</h3>
Let A be apple pies and B be blackberry pies.
3A + 11B = $237
3A + 12B = $255.
On solving the quadratic equation, we get
-B = -18
Therefore,
B = 18
Substitute B in any one of the equations,
3A + 11*18 = 237
3A = 237 - 198
A = 39/3
A = 13
The cost of an apple pie is $13 and a blackberry pie is $18.
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42 members originally agreed to go on the bus.