Answer: length of DE is about 3.3 ft
Step-by-step explanation: A calculator is necessary!
DE is the unknown hypotenuse of the triangle
get the sine of 23° = 0.3907311285
Use the equation for sine
<em>sin = o/h</em> .
To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D
<em>0.3907311285 = 1.3/h</em> multiply both sides by h
h(0.3907311285) = 1.3 divide both sides by 0.3907311285
h = 1.3/0.3907311285
3.327096065 = h, the length of the hypotenuse, DE.
Basically, you just want to keep flipping a coin a total of 10 times, 27 more times. (If that makes any sense) You also want to keep recording the number of heads in each set of 10.
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Here, f(x) = kx
k = f(x)/x
k = 48/8
k = 6
So, when x = 2,
f(x) = 6 * 2
z = 12
In short, Your Answer would be: 12
Hope this helps!
