Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
Answer:
<h2>C
. 7 units</h2>
Step-by-step explanation:
The question is lacking appropriate diagram. Find the diagram to the question attached.
From the diagram, it can be seen that AD = AB+BC+CD
Given the following
AD = 23units
AB = 4units
CD = 12units
To get C=BC, we will substitute the given segments into the expression above as shown;
23 = 4+BC+12
23 = BC + 4 + 12
23 = BC+16
Subtract 16 from both sides
23-16 = BC+16-16
7 = BC
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<em>Hence the length of segment BC is 7units.</em>
The point of inflection is calculated by equating the second derivative to zero and determining x from there.
f"(x) = -x²2xsinx² + cosx²(2x) = 0
2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0
2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)
Thus, the function only has 1 point of inflection and it is at x = 0.
Answer:
The width of rectangle is 
or 
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
where
L is the length of rectangle
W is the width of rectangle
we have
substitute
solve for x
simplify
<em>Find the width of rectangle</em>
substitute the value of x
Convert to mixed number
Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
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