The next three terms are: -3, 6, and 15
To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15
In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15
This process repeats forever though we only need three terms in this case.
So that's why the answer is the three values -3, 6 and 15
9514 1404 393
Answer:
24.3 ft
Step-by-step explanation:
If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...
h² +6² = 25²
h² = 625 -36 = 589
h = √589 ≈ 24.3
The ladder reaches about 24.3 feet up the tree.
Answer:
34°
Step-by-step explanation:
The angle made when a tangent and a radius intersect=90°
Therefore angle OQP =90°
The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)
=56°
The right triangle OPQ can hence be solved as follows
angle POQ=56°
angle OQP=90°
angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°
The explanation is rate=distance/time, so 5/3=1.66 recurring and then if you change this into a fraction form it gives you the answer
While rotations, translations and reflexions do not alter the volume of the matter, dilation does increases the volume.
So the answer would be, dilation increases the volume while other types of transformations do not.
