An amusement park charges a $3 rental fee $1.50 per hour to rent a stroller. Write an equation that represents the total cost, starting what your variables represent.

Answers

Answer 1
Answer:

Answer:the equation is

y = 3x + 1.5

Step-by-step explanation:

Let x represent the number of hours for which the stroller was rented.

Let y represent the total cost of renting the stroller for x hours.

The amusement park charges a $3 rental fee $1.50 per hour to rent a stroller. It means that $1.50 is constant and the total cost vary with number of hours for which it was rented. Therefore, for x hours,

y = 3x + 1.5


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Why does the LL theorem hold for proving right triangles congruent?

Answers

Triangles, considering congruent triangles, are generally composed of 2 sides and a hypotenuse. The hypotenuse is usually between these 2 sides. The best possible explanation is that the right angle is included between the legs. Using the "L" shape in the "LL" theorem, it is side then right angle then side to prove congruence between triangles.

We can see here that the LL theorem holds for proving right triangles congruent because it addresses the unique characteristics of right triangles. In a right triangle, one of the angles is a right angle, measuring 90°.

What is theorem ?

A theorem is a statement or proposition that has been proven to be true based on previously established facts, axioms, or other theorems. In mathematics, a theorem is a fundamental concept and plays a crucial role in the development and understanding of mathematical theories and principles.

The LL theorem, also known as the Leg-Leg Congruence Theorem, states that if two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the two triangles are congruent.

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What is the domain of y = cos θ

Answers

Answer:

The domain is all real numbers or x\in(-\infty,\infty)

Step-by-step explanation:

The definition of domain is :

Domain is the set of x values for which the function is defined.

The given function is y = cos θ and we know that θ can take any value. In other words, for any value of θ, the function  y = cos θ is defined.

Therefore, we can conclude that the domain of y = cos θ is the set of all real values.

In interval notation we can write it as

x\in(-\infty,\infty)

all real numbers / all x 
if you're asking for range as well then its -1<x<1

multiply Express your answer in lowest terms                                                                           1/6 * 5/7 =

Answers

the answer is 5/42 multiply 1*5=5 and 6*7=42 the 5 is the numerator and the denominator is 42 so you get 5/42.

P is the incenter of QRS. Use the given information to determine find the indicated measure.

Answers

The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7

Therefore,
4x -8 = x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12

Solve the following system of equations using substitution.u = 6 + t
36 = 2t + u
A. t = 10, u = 16
B. t = 10, u = 4
C. t = 14, u = 20
D. t = 16, u = 22

Answers

It's A. If U=16, 6+10=16
and if you plug in the numbers for the second equation it's 36=2(10)+16

In Bear Creek Bay in July, high tide is at 1:00 pm. The water level at high tide is 7 feet at high tide and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Bear Creek Bay's water level in July as a function of time (t).

Answers

Final answer:

The equation for Bear Creek Bay's water level in July as a function of time (t) is h = 3*cos(2*pi*t/12) + 4.

Explanation:

To find an equation for Bear Creek Bay's water level in July as a function of time (t), we can use a cosine curve since the height of the water can be modeled by it.

Based on the given information, we know that the water level is 7 feet at high tide and 1 foot at low tide. We also know that the next high tide is exactly 12 hours later.

Using the cosine function, where the amplitude (A) is (7 - 1)/2 = 3 and the period (T) is 12 hours, the equation for Bear Creek Bay's water level (h) as a function of time (t) is:

h = 3*cos(2*pi*t/12) + 4

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