Answer: Width of box is not taken up by pencils = 
Width of each pencil 
Step-by-step explanation:
Given: Width of pencil box = 
Width of seven pencils = 
Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils
Width of box is not taken up by pencils =
Width of each pencil = (Width of seven pencils ) ÷ 7
Width of each pencil
3.(6^(12-10)) = 3× 6^2 =3× 36 =108
Answer:
Step-by-step explanation:
To get you needed to divide the numerator and denominator by 3.
What we know here is that all 2500 shares together are worth 100 000 dollars in total. (it's 100 000.00 actually, but we can ignore the part after the point, as it's equal to 0).
This means that each of the shares is valid the whole sum divided by the number of shares, that is:
(first i divided both denominator and numerator by 100)
So each value is worth 40 dolars.
Answer:
An ISOSCELES TRIANGLE
Step-by-step explanation:
Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.
Distance between two points is expressed as:
D = √(x2-x1)²+(y2-y1)²
For side |AB|:
A(-5, 4) and B(4, 1)
|AB| = √(4-(-5))²+(1-4)²
|AB| = √9²+3²
|AB| = √90
For side |BC|
B(4, 1), and C(1, -8)
|BC| =√(1-4)²+(-8-1)²
|BC| = √3²+9²
|BC| = √90
For side |AC|:
A(-5, 4) and C(1, -8).
|AC| = √(1-(-5))²+(-8-4)²
|AC| = √6²+12²
|AC| = √36+144
|AC| = √180
Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.
