Hi there!
Lets dive into the problem, starting with the equation for volume; length x width x height.
If it's 8 x 12 inches, That means the height is 8 and the length is 12. The side, or width, would be x.
The equation should be 8 times 12 times x, or (8)(12)(x).
Answer:
You should get 13
Step-by-step explanation:
Answer:
A 90
Step-by-step explanation:
multiple ways to prove this.
e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.
another way
imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.
the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.
that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).
the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.
Answer:
smaller pieces must be larger than 3 feet
Step-by-step explanation:
x is the longer piece
x>32
x-20>12
12/4=3
smaller pieces resembled as y
y>3
Answer:
Isosceles Triangle; Acute Triangle
Step-by-step explanation:
Review your definitions of the different types of triangles:
acute triangle- a triangle that has three acute (less than 90 degrees) angles
obtuse triangle- a triangle that has an obtuse (greater than 90 degrees) angle.
right triangle- a triangle that had one right (90 degrees) angles
isosceles triangle- a triangle with two congruent sides and one unique side and angle.
equilateral triangle- a triangle with three congruent sides and three congruent angles.
scalene triangle- a triangle with no congruent sides and no congruent angles.
With these definitions, we can classify ΔPQR as an isosceles acute triangle.
