Answer: angle 2 is acute
Step-by-step explanation: the angle is less that 90⁰
Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
Polynomials are equations that uses variables and several terms
The polynomial in standard form is f(x) = x^2 - x -20
<h3>How to determine the polynomial</h3>
The polynomial has 2 zeros.
So, the form of the polynomial is:
f(x) = a(x - x1)(x - x2)
The zeros of the polynomial are 5 and -4.
So, the equation becomes
f(x) = a(x - 5)(x + 4)
The value of a = 1.
So, we have;
f(x) = 1(x - 5)(x + 4)
This gives
f(x) = (x - 5)(x + 4)
Expand
f(x) = x^2 - x -20
Hence, the polynomial in standard form is f(x) = x^2 - x -20
Read more about polynomials at:
brainly.com/question/2833285
You do not have enough money to pay your sister back and the amount left is $29
<h3>A. Do you have enough money to pay your sister back? </h3>
The given parameters are:
Amount borrowed = $130
Earnings = $12 per hour for 4 hours
Earnings = $12 per hour for 6 hours
Tip = $5
The total earnings is
Total = 12 * 4 + 12 * 4 + 5
Evaluate
Total = $101
101 is less than 130
Hence, you do not have enough money to pay your sister back
<h3>How much money left</h3>
The amount left is calculated as:
Amount left = $130 - $101
Evaluate
Amount left = $29
Hence, the amount left is $29
Read more about equations at:
brainly.com/question/2972832
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Answer:
frequency= 165Hz
period= 
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
= 165Hz
2. To calculate the period use the formula:
since 
therefore, 
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
