9514 1404 393
Answer:
14.4
Step-by-step explanation:
The Pythagorean theorem tells you ...
7² +a² = 16²
a² = 256 -49
a = √207
a ≈ 14.4
We are given two numbers $24 and $30.
We need to find the largest three-digit number that is a multiple of both $24 and $30.
So, we need to find the largest common multiple of 24 and 30.
<em>In order to find the largest common multiple, we need to multiply both numbers.</em>
If we multiply 24 and 30, we would get
24 × 30 = 720.
Therefore, the largest three-digit number that is a multiple of both $24 and $30 is 720.
The height of the kite will be 6.6 ft rounded to the nearest tenth.
<u><em>Explanation</em></u>
According to the below diagram, AB is the height of the kite and AC is the 12 ft line attached to it.
The line is pulled taut and casts a 10 ft shadow. That means BC = 10 ft
Now, in right angle triangle ABC, using <u>Pythagorean theorem</u>....
So, the height of the kite will be 6.6 ft rounded to the nearest tenth.
Answer:
Jackie runs for 
minutes and dances for 
minutes.
Step-by-step explanation:
Let the time she dances be 
and the time she runs for be 
minutes respectively.
Use the substitution method here ,
Therefore Jackie runs for minutes and dances for minutes.
I'll leave the picture to you; draw a rectangle and write 2x+4 along the length and 4x along the width. We don't really know the aspect ratio of the rectangle until we know x so any rectangle is fine.
The perimeter is the sum of all four side lengths,
p = (2x + 4) + 4x + (2x + 4) + 4x
Answer: p = 12x + 8
