9.10
+2.53
————
11.63
Just add the rows from the top to the bottom
Answer:
25
Step-by-step explanation:
Synthetic division shows the remainder to be 25-c. In order for that remainder to be zero, the value of c must be 25.
Answer: 
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:

Then, knowing that:

You need to substitute these values into
:

Now, you can solve for "x":

Rounded to the nearest hundreth:

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom.
Answer:
- draw lines center to vertex
- 43.5 square inches
- 261 square inches
Step-by-step explanation:
<u>Part A</u>:
The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.
__
<u>Part B</u>:
The area of each triangle is given by the triangle area formula:
A = (1/2)bh
A = (1/2)(10 in)(8.7 in) = 43.5 in²
__
<u>Part C</u>:
The area of the table top is 6 times the area of one triangle:
surface area = 6(43.5 in²) = 261 in²