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>
<em></em>
Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)
The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)
$12•6=$72
$165-$72=$93
$93/$3= 31 cupcakes
Multiply $12 by the 6 cakes sold getting $72
Subtract $72 from the total $165 dollars made getting $93 left
Divide $93 by the $3 each cupcake cost getting 31 cupcakes
ANSWER: 31 cupcakes sold
(x - 12) (x - 4) is the answer
Answer:
215 sections of 27 meters of rope will be created and 9 meters will be left as waste
Step-by-step explanation:
A rope that is 5814 meters long needs to be cut into 27 sections
The number of 27 meter sections of rope that can be created can be calculated by dividing 5814 by 27
= 5814/27
= 215 remainder 9
Hence 215 sections of rope will be created and 9 meters of rope will be left as waste