Answer: 1. False
2. True
3. True
4.False
Step-by-step explanation:
1. False, because 6 is a multiple of 3 but 6 is not an odd number.
2. True, all even numbers are multiple of 2, and thus divisible by 2. Any number that is divisible by 2 must be a multiple of 2. hence,the given biconditional statement in true.
3. True, all multiples of 5 has 0 or 5 in the ones place.
Thus the given biconditional statement is true.
4.False, because 6 is not a multiple of 4 but 6 is not a prime number.
Answer:
-4y^3 + 4y^2 -6y + 25
Step-by-step explanation:
Combine like terms:
(-4y^3-5y+16)
+ (4y^2 - y +9)
----------------------------
-4y^3 + 4y^2 -6y + 25
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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