We firstly calculate the angle at the bottom left of the triangle(theta)..,
; Angle theta...
tan theta = 9/11
Angle theta = tan^-1(9/11)
; Angle theta = 39.3°
Then height x...we then use the smaller triangle..,
; tan (39.3°) = x/5.5
; x = 5.5 tan(39.3°)
Hence... x = 4.5
Answer:
Step-by-step explanation:
For a male student who has a measured pulse rate of 52 beats per minute.
Raw Score, X =52 beats per minute.
Therefore:
Since the usual pulse rates are within 2 standard deviations of the mean, a z-score of -1.49 tells us that the selected student's pulse rate is within the usual pulse rates.
Answer:
58=58
Step-by-step explanation:
44+14=28+30
58=58
194/45 but it reduced to 4 14/45
Answer:
(c) y < x^2 -5x
Step-by-step explanation:
A quadratic inequality is one that involves a quadratic polynomial.
<h3>Identification</h3>
The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.
For the following inequalities, the degree of the polynomial in x is shown:
- y < 2x +7 . . . degree 1
- y < x^3 +x^2 . . . degree 3
- y < x^2 -5x . . . degree 2 (quadratic)
<h3>Application</h3>
We see that the degree of the polynomial in x is 2 in ...
y < x^2 -5x
so that is the quadratic inequality you're looking for.
__
<em>Additional comment</em>
When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.
