Answer:
Consider the finite arithmetic sequence,
Use the explicit formula for an arithmetic sequence,
...... (83.84.94.92.91.100
First term of the sequence is
a=1/3 so 7a becomes 7x1/3
2 1/3-3= -2/3
hope it helps!
Answer:
y = -3x + 7
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, this line will have a slope of -3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
4 = -3(1) + b
4 = -3 + b
7 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -3x + 7
So, the equation is y = -3x + 7
Answer:
Step-by-step explanation:
f(-8) = 6(1 -(-8))
f(-8) = 6 + 48
f(-8) = 54
Answer:
width of the river is 60.16 m
Step-by-step explanation:
Refer the attached figure
AB = width of river
We are required to find the width of river .
Since we are given that . Trigonomos spotted a tree across the river and marked the spot directly across from it.
Then he walked to the another point 15 meters down the river .i.e. BC = 15 m
He also found the angle between his side of the river and the line connecting him to the tree i.e. ∠ACB = 76°
So, now to calculate the width of river i.e. AB , we will use trigonometric ratio
![tan\theta = \frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BBase%7D)
![tan76^{\circ}= \frac{AB}{BC}](https://tex.z-dn.net/?f=tan76%5E%7B%5Ccirc%7D%3D%20%5Cfrac%7BAB%7D%7BBC%7D)
![4.0107= \frac{AB}{15}](https://tex.z-dn.net/?f=4.0107%3D%20%5Cfrac%7BAB%7D%7B15%7D)
![60.16=AB](https://tex.z-dn.net/?f=60.16%3DAB)
Thus the width of the river is 60.16 m