Answer:
y = 0.0765x
Step-by-step explanation:
We have that:
y is the total taxes paid.
x is the total wages earned.
The total taxes paid is a function of the total wages earned.
For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are 7.65% of the employee's wages.
So 7.65% of the total wages earned are paid in taxes. We write the percentage as a decimal, so 7.65/100 = 0.0765
So the answer for a) is:
y = 0.0765x
6 because 18+6=24+6=30+6=36
Answer:
581 m²
Step-by-step explanation:
The area of a trapezoid is determine as the average between the length of both bases T and B (46 and 37 m) multiplied by the height H. The area is:
Assuming that enough turf must be bought to cover the whole extension of the field, the amount of turf that should be purchased is 581 m².
21.
The angle has an opposite side of value 11 and an adjacent side of value x
We can then apply the formula tan 38° = opposite / adjacent
this gives us tan(38) = 11 / x
11/x = tan(38)
11 = x × tan(38)
x = 11 / tan(38)
x ≈ 14.1 (rounded to the nearest tenth)
And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :
H² = 14,1² + 11²
H² = 198,81 + 121
H = √(319,81)
H ≈ 17,9
Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45
You apply the same thing for 22 and 23
For 22 you use tan 55 = 15 / x
For 23 you use tan 23 = 7 / x
Good Luck !
Answer:
Step-by-step explanation:
1). Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
