Based on the fact that Kayden is the youngest and their ages are consecutive and add up to 90, the Kayden is 21.
<h3>How old is Kayden?</h3>
To find Kayden's age, assume that it is x and use the formula:
90 = x + (x + 1) + (x +2) + (x +3)
Solving for x gives:
90 = 4x + 6
4x = 90 - 6
x = 84 / 4
x = 21
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Answer:
Noah's recipe because he uses less water per scoop of powder than Andre does.
Answer:
The answer is B) 5a + b
Step-by-step explanation:
9a - 4a is 5a
3b - 2b is 1b or just b therefore the answer is
5a + b
Answer:
A. 35 ft.
B. 35 ft
Step-by-step explanation:
Please see attached photo for diagram.
A. Determination of the diagonal using pythagorean theorem.
A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:
Ist leg (L₁) = 25 ft
2nd leg (L₂) = 25 ft
Diagonal (d) =?
d² = L₁² + L₂²
d² = 25² + 25²
d² = 625 + 625
d² = 1250
Take the square root of both side
d = √1250
d = 35 ft
B. Determination of the diagonal using trigonometry.
Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e
Angle between Diagonal and each leg = 90/2 = 45°
Finally, we shall determine the length of the diagonal. This can be obtained as follow:
Angle θ = 45°
Opposite = 25 ft
Hypothenus = d
Sine θ = Opposite / Hypothenus
Sine 45 = 25 / d
0.7071 = 25 / d
Cross multiply
0.7071 × d = 25
Divide both side by 0.7071
d = 25 / 0.7071
d = 35 ft
To answer this item, we let x be the distance that Jimmy drove from his origin and back. Given the speeds, the time it takes for him to travel to and fro are,
t1 = x / 46
t2 = x / 52
respectively.
The equation that would best represent the scenario is,
x/46 - x/52 = 0.6
The value of x from the equation is 239.2.
The trip there takes x/46 which is equal to 239.2/46 which is also equal to 5.2 hours. The travel from the cabin back took 4.6 hours.