Answer:
Step-by-step explanation:
<u>Right Triangle</u>
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
To convert the inches portion of the measurement to feet, divide the inches by 12. Then add that number to the feet. Multiply the sum by 0.25 to get the number of inches on the scale drawing.
When you have this many to do, a spreadsheet or calculator is helpful.
br: 2.625 by 2.750
lr: 6.250 by 4.667
kit: 3.375 by 2.000
dr: 3.000 by 2.500
The dimensions are listed here in the order given in the problem statement. Your answer is requested to be shortest dimension first, so you will need to reverse the numbers for all but the first one.
Answer:
9 terms
Step-by-step explanation:
Given:
1, 8, 28, 56, ..., 1
Required
Determine the number of sequence
To determine the number of sequence, we need to understand how the sequence are generated
The sequence are generated using
Where n = 8 and r = 0,1....8
When r = 0
When r = 1
When r = 2
When r = 3
When r = 4
When r = 5
When r = 6
When r = 7
When r = 8
The full sequence is: 1,8,28,56,70,56,28,8,1
And the number of terms is 9
