Answer:
12) 5.96 ; 13)
Step-by-step explanation:
12). x and 5 are legs, so
opposite leg/adjacent leg = tangent 40°
5/x= tan40°, 5= x*tan40°, x= 5/tan40° ≈ 5.96
13). 15 is opposite leg
24 is hypotenuse
opposite leg/hypotenuse = sin(x)
sin(x) = 15/24
x = arcsin(15/24) ≈ 38.68°
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence <u>h = 8, k = -6 and considering a = 1</u> the equation is given as follows:
f(x) = (x - 8)² - 6.
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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It's the1st: 4 cm/10 cm because:
4/10 = 2/5 . and because they have the SAME UNIT (cm)
Answer:
£32.76
Step-by-step explanation:
21/500=0.042
780x0.042 = 32.76
Answer:
98^91
Step-by-step explanation:
Since the base of all the numbers is 98,
the LCM is simply the one with the greatest exponent
example
98^53 * 98^38 = 98^91
