<span>1 million days means 10^6 days. 1 day = 24 hours.
10^6*24=2.4*10^7 hours </span>
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
If length is x, then width is 6+x
<span>Perimeter = 2*(x + 6+x) = 52 </span>
<span>2*6 + 2*2x = 52 </span>
<span>4x = 52 - 12 = 40 </span>
<span>x = 40/4 = 10 </span>
<span>Area = length*width = 10*(6+10) </span>
<span>Area = 10*16 = 160 meter square</span>
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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The distance of a door knob from the floor is about one hip I guess