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kolezko [41]
2 years ago
13

The cost of renting a car is $45/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=45

+0.25x, where x is the number of miles traveled.
Mathematics
1 answer:
mote1985 [20]2 years ago
8 0

where is the question??!

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Solve this identity, where the angles involved are acute angles.
Bas_tet [7]

We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)

<h3>How to solve Trigonometric Identities?</h3>

We want to prove the trigonometric identity;

[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ

The left hand side can be expressed as;

[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]

⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]

Taking the LCM and multiplying gives;

(tan³θ - 1)/(tanθ(tanθ - 1))

This can also be expressed as;

(tan³θ - 1³)/(tanθ(tanθ - 1))

By expansion of algebra this gives;

[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]

Solving Further gives;

(sec²θ + tanθ)/tanθ

⇒ sec²θ * cotθ + 1

⇒ (1/cos²θ * cos θ/sin θ) + 1

⇒ (1/cos θ * 1/sin θ) + 1

⇒ 1 + (secθ * cosec θ)

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

3 0
2 years ago
Read 2 more answers
Arrange the following in descending order A] 9,7,4,1 B] 5,4,0,3
Masja [62]
A. correct as it is
B. 5, 4, 3, 0
5 0
3 years ago
PLSSS<br><br> C= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B12%5E%7B3%7D%20.%206%5E%7B5%7D%20%7D%7B9%5E%7B4%7D%20.%202%5E%7B10%
Rudiy27

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

12 = 3.4 = 3 .2.2  = 3.2^{2}\\12^{3}  = (3.2^{2} )^{3} = 3^{3}2^{6}  \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator }  =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2  

7 0
2 years ago
Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn
elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

<em>A = 9,000.00(1 +  x/100)^(4)</em>

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>
  • Step one:

First, convert R as a percent to r as a decimal

r = x/100

r = x/100

  • Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

A = 9,000.00(1 +  x/100)^(4)

  • Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

Learn more about compound interest here:

brainly.com/question/24924853

6 0
2 years ago
If h(x) is the inverse of f(x), what is the value of h(f(x))?
Viktor [21]
The value of h(f(x)) would just be x. That is the line y = x which is the line that functions are reflected in to find the inverse.
4 0
3 years ago
Read 2 more answers
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