Step-by-step explanation:
let no. of hours be x.
45x - 12 ≥ 117
45x ≥ 129
x ≥ 2.8667 (5sf)
therefore, 3 hours (round up to next whole number).
Topic: inequalities
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4
Answer:
Options (C) and (E).
Step-by-step explanation:
Rotation is a rigid transformation in which size and shape of the figure and image remains the same.
That means angles and sides of the triangles given in the figure will remain same after the transformations given.
Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.
And every figure is the transformed form of the given triangle, all four triangles will be congruent.
Options (C) and (E) are the correct options.
Dc=ac
Step-by-step explanation:
A googol is bigger than a billion.