Answer:
y = 
Step-by-step explanation:
given that y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition x = 2 when y = 11
k = yx = 11 × 2 = 22
y = ← equation of variation
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer:
The final cost of the water is $3.22.
Step-by-step explanation:
In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.
2.98*8%=0.24
2.98+0.24=3.22
According to this, the answer is that the final cost of the water is $3.22.
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We need to find what number, if 6 is divided by it, gives us 12.
This isn't hard, I promise! I am going to take you through a few steps, and we'll find the answer.
Are you ready? Then let's begin...:)
✦ We can think about it as: 6 divided by what number gives us 12?
(let the number be z)
Multiply both sides by z
Divide both sides by z
Which is the same as
- hope it's helpful!
- wishing you a great day!
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