Answer:
<u><em>domain</em></u> is your <u><em>x value</em></u>, and <u><em>range</em></u> is your <u><em>y value.</em></u>
Step-by-step explanation:
Answer:
The answer is 3030.72 m³
Step-by-step explanation:
Please refer to attached file for graphical representation.
Formulas used:
Area = (a*b)/2
Trigonometry: Tan (t) = opposite/adjacent
Assume:
Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B
Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x
Angle common between them is t.
<u>Step 1</u>:
For t:
Tan (t) = a/b
Tan (t) = 123/50
Tan (t) = 2.46
<u>Step 2:</u>
For y:
Tan (t) = y/x
2.46 = y/6
y = 2.46*6
y = 14.76
<u>Step 3:</u>
Villagers old plot area: B = (a*b)/2 = (123*50)/2
B = 3075 m³
<u>Step 4:</u>
Plot donated area: C = (x*y)/2 = (6*14.76)/2
C = 44.28 m³
<u>Step 5:</u>
Villager remaining plot:
A = B-C
A= 3075-44.28
A = 3030.72 m³
Answer:
55
Step-by-step explanation:
we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.
Answer:
(2,16) , (1, 8)
Step-by-step explanation:
(-1,-7), x = -1 and y = -7
plug in
y = 8x
-7 = 8 * -1
-7 = -8, false
(2,16), x=2 and y = 16
plug in
y= 8x
16 = 8 * 2
16 = 16, so it is a solution
(1,8), x = 1 and y = 8
plug in
y = 8x
8 = 8 * 1
8 =8 , so it is a solution
(-2,-6), x = -2, y = -6
plug in
y = 8x
-6 = -2 * 8
-6 = -16, false
2 (an - 1) = 40
2an - 2 =40
2an = 40 - 2
2an = 38
2an/2 = 38/2
an = 19