H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t
h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79
g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8
Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1
h(t) = g(t) ⇒ 131 = 131
<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
Answer:
Step-by-step explanation:
Sum of interior angle of any polygon =(n-2) × 180°where n represents the number of sides in any polygon.
Or 1260 =(n-2)x180
Dividing both sides by 180:
7=n-2
Adding both sides by 2 we have :
n=9.
Hence a nanogon will have the sum of interior angles as 1260°.
Answer:
75806
Step-by-step explanation:
82,277-6,471=75806
X=270 units
270 units can be manufactured per month
Answer:
9/40
Step-by-step explanation:
- Write down the percent divided by 100 like this:
22.5/100
- Multiply both top and bottom by 10 for every number after the decimal point:
- As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
(22.5*10)(100*10)= 225/1000
- Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.
225 ÷ 25/ 1000÷25 = 9/40
