Answer:
The answer is 9/10
Step-by-step explanation:
8/10 is the same thing as ⅘, ⅘ is just simplified
⅖ is less than ⅘ so it would come before c
6/5 is more than 1 so it wouldn’t be on that number line.
Answer:
$4,711.31
Step-by-step explanation:
Calculation for Jennifer's monthly gross pay
First step is to calculate The total tax percentage deductions
Using this formula
Total tax percentage deductions =State tax + City tax + Social security + Medicare
Let plug in the formula
Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%
Total tax percentage deductions = 13.65%
Now let calculate the monthly gross pay
Monthly gross pay= ($3,981.22 +87)/(1-13.65%)
Monthly gross pay= ($3,981.22 +87)/0.8635
Monthly gross pay=$4,068.22/0.8635
Monthly gross pay= $4,711.31
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know 
so because the triangle is isosceles.
when 
is called by 
.
We know that 
since E and D are tangent points to a circle.
They have 
since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
Therefore the length of 
No, because all multiples of 5 end with 5 or 0
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
