Answer:
y=-2
Step-by-step explanation:
The value of t is:
a) when v = 15 then t = 3 hours
b) when v = 18 then t = 2.52 hours
<h3><u>Solution:</u></h3>
The relation between speed and time taken is given as:
It is given that for first 30 km, the speed of bicyclist is v km/hour
<em><u>
Time taken to cover first 30 km is given by:</u></em>
For next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v + 2
<em><u>
Time taken to cover next 17 km is given by:</u></em>
Now total time t spent by the bicyclist to cover entire trip is given by
---- eqn 1
We have to find value of "t" for a) v = 15 and b) v = 18
<u><em>a) value of t when v = 15</em></u>
Substitute v = 15 in eqn 1
t = 2 + 1 = 3
So t = 3 hours
<u><em>b) value of t when v = 18</em></u>
Thus t = 2.52 hours
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
Answer:
5.1cm
Step-by-step explanation:
volume of hemisphere = 1.07cm³
9.2-1.07 = 8.13
volume of cylinders = 8.13cm³
height of cylinder = 4.04cm
total height of gizmo = 4.04+0.8=4.84
4.84/sin(72) = 5.1cm