Answer:
The building is 187.5 feet tall.
Step-by-step explanation:
A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.
This means that the relation between the real height and the shadow is given by:
A tall building casts a shadow that is 250 feet long. How tall is the building?*
The real height is three fourths of the shadow. So
The building is 187.5 feet tall.
From symmetry of sin(x) about pi/2, we know that sin(x)=sin(pi-x).
Therefore
sin(x)+sin(pi-x)=sin(x)+sin(x)=2sin(x).
Answer:
The mean will change, the median will stay the same.
Step-by-step explanation:
The mean will increase because that is the average and a gain of 1000 kg will increase that average.
The median will not change. The median is the middle point. That was the highest point before and increasing it will not change that it was the highest point.
Answer:
30
Step-by-step explanation:
Plug in x:
6(5)=30
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
