Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
The value of ∠BAC in the isosceles triangle is 9.7°
<h3>
Cosine rule</h3>
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
a² = b² + c² - 2bc*cos(A)
where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.
AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:
200² = 1185² + 1185² - 2(1185)(1185)cos(x)
2(1185)(1185)cos(x) = 2808450
cos(x) = 0.9857
x = 9.7°
The value of ∠BAC in the isosceles triangle is 9.7°
Find out more on Cosine rule at: brainly.com/question/7872492
Answer:
The interior angle measure of a convex decagon is 144.
Step-by-step explanation:
The sum of the interior angle formula for a convex polygon is (n-2)180
where n is the number of sides.
A decagon has 10 sides.
10-2 = 8
8 times 180 = 1440
A decagon has 10 sides-10 angles.
To find the measure of each angle divide by 10.
1440/10=144
The interior angle measure of a convex decagon is 144.
This is actually an area problem:
The diameter of the circle is 6 which is the width of the sandbox and the radius is 1/2 of the diameter so r=3
Formula for area= π(r^2) or pi*radius squareThe area of the circle would be 9π which is 28.27
Then you subtract it from the area of the sandbox which is 6*10=60
60-28.27=31.73 which rounds to 32 square feet
Answer: C
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