Answer:
<u>Skills needed: Rhombus Geometry</u>
1) We need to understand a property of rhombi (plural of rhombus) that is important in this problem.
---> is a diagonal in the rhombus.
---> is also a diagonal in the rhombus.
- In a rhombus, the diagonals are always perpendicular to each other.
---> Let's make the point of intersection of the diagonals as Point E.
---> This angle is needed to solve the problem for y.
2) Using triangle properties:
---> The sum of interior angles of a triangle equal 180.
- Take , which has 3 angles:
due to rhombus diagonal property
which is given
(what we are trying to solve for)
Let's plug in!
3)
y equals 42
No,
Because it can't be split into halves,thirds or quarters etc.
Answer:
4x=90
X=90÷4
X=22.5
5x-27=90
5x=90+27
5x=117
X=117÷5
X=23.4
So 23.4 is a larger angle
Answer:
Time t = 1.39 seconds
Step-by-step explanation:
Given;
Initial velocity v = 20 ft/sec
height equation;
h = -16t^2 + 20t + 6
How long does it take for the disc to be caught 3 feet off the ground;
At this point h = 3
Substituting h = 3 into the height equation;
3 = -16t^2 + 20t + 6
-16t^2 + 20t + 6 - 3 = 0
-16t^2 + 20t + 3 = 0
Solving the quadratic equation;
t = 1.39 or t = -0.14
Since t cannot be negative;
Time t = 1.39 seconds
Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
<h3><u>Volume of a pyramid</u></h3>
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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
Therefore:
<h3><u>Volume of the garden shed</u></h3>