Answer: 
Step-by-step explanation:
Since, By the given diagram,
In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA
Also, In triangle DFA,

⇒ 
⇒ 
⇒ 
Now, In triangle, DEC,

⇒ 
⇒ 
⇒
⇒ 
⇒ 
⇒ 
Answer:
45units^2
Step-by-step explanation:
Break the polygon into two shapes. A rectangle and a triangle.
The area formula for a rectangle is A=L•W or
Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.
Now for the triangle, the formula is A=1/2 (b•h)
The base is 9 and Height is 6.
9 • 6 = 54
Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.
Now add the rectangle area and triangle area.
18+27=45
Area=45 units ^2
Answer:
V = 7385.28
Step-by-step explanation:
Formula of the volume of a cylinder: V = pi*r^2*h
Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...
V = (3.14)(14)^2*(12)
= 7385.28
Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14
using either Pythagorean Theorem or special right triangle properties for 30-60-90.