I hope this helps you
PQ^2=9^2+14^2-2.9.14.cos20
PQ^2=81+196-236
PQ^2=41
PQ~6,4
Step-by-step explanation:
the sequence is arithmetic due to the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
Then :
a(n) = 15+(n-1)-4
hope this helps
Answer:
y = 4x + 1
Step-by-step explanation:
Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope
Standard form of an equation is y = mx + b
Compare;
mx = 4x
m = 4
Since the slope of the given equation is 4, the required equation must also have a slope of 4
Since we are not given an option, we can assume any equation with a slope of 4
y = 4x + 1 will be parallel to the given equation since they both have the same slope
<em>Note that the equation can be different so far they have the slope of 4</em>
Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
Use proportions and use letters for unknown measurements
