For this case, the first thing you should do is know that the measurement of a television is given by the diagonal of the television.
Therefore, to find the value of x, we use the Pythagorean theorem.
We have then:
Rewriting we have:
Then the dimensions are given by:
Answer:
the dimensions of the screen are: 33.6* 25.2
Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.
<h3>What is logarithm?</h3>When you raise a number with an exponent, there comes a result.
Let's say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Erika is working on solving the exponential equation 50^x = 17;
however, she is not quite sure where to start.
The equation is
By taking the log both sides
By using the base formula
So,
x = 0.7242
Learn more about logarithm here:
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Answer:
Max is 4 days.
Step-by-step explanation:
An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign: .
We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.
We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.
21d + 0.10(250)
We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.
So we write .
To find the number of days he can rent the car, we solve for d using inverse operations.
This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.