Answer:
V = 160mph
Step-by-step explanation:
We need to start from the formula of speed: V=d/t
We have two travels, with and against the wind, both done in the same time.
Clearing t from the formula, we will have: t=d/V2
450miles/V-35mph (speed of the wind is subtracted)
702miles/V+35mph (speed of the wind is subtracted)
Now, we find V:
450miles/V-35mph = 702miles/V+35
450*V+35 = 702*V-35
450V+15,750 = 702V-24,570
702V-450V = 15,750 + 24,570
252V = 40,320
V = 40,320/252
V = 160mph
Complementary equal 90 degrees.
90-47=43 degrees
Supplementary equal 180 degrees.
180-47=133 degrees
A
Answer:
x=33
Each base angle measures 69 degrees
Step-by-step explanation:
the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2
= 69 degrees
2x + 3 = 69
2x = 66
x = 33
Answer:
(2, -1)
Step-by-step explanation:
We can add the first equation by the second
(4x + 6y = 2)+(-4x + 4y = -12)=
10y=-10
we divide both sides by 10 to get
y=-1
We plug -1 in the second equation to get:
-4x+4(-1)=-12
-4x-4=-12
-4x=-8
Now, we divide both sides by -4
x=2
Hope this helps!
Answer:
13
Step-by-step explanation:
where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
