<h3>
Answer: 29.5 degrees</h3>
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Explanation:
Add up the arc measures and divide by 2 to get the angle formed by the two chords.
angle AOB = (arc AB + arc CD)/2
angle AOB = (34 + 25)/2
angle AOB = 59/2
angle AOB = 29.5 degrees
Answer:
Yes
Step-by-step explanation:
To make a triangle the 2 smaller sides must join together to become greater than or equal to the biggest side.
8+7=15
<em>Therefore,</em>
<em>side lengths 8, 7, and 15 do create a triangle.</em>
<em />
<em>Hope this helps </em>
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Answer:
the answer for this one is A
Step-by-step explanation:
mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side
Since there is replacement, drawings are independent which means that the result of one of them does not affect the others.
Probability of drawing an apple is 4/10 (4 apple out of 10 fruits)
Probability of drawing an apricot is 2/10
Probability on one happening consecutively to the other (thanks to independence) is 4/10*2/10=8/100
Which can be simplified to 2/25
