Answer:
221.87 feet
Step-by-step explanation:
Given that,
A 525 ft cable runs from the top of an antenna to the ground.
The angle of elevation made by the ground to the top of an antena 25°
We need to find the height of the antenna.
Using trigonometry,
Hypotenuse, H = 525 ft
θ = 25°
So,

So, the height of the antenna is equal to 221.87 feet.
This is the concept of rates, we are required to convert on rate to another. The We have been given a car that is speeding at 9595 mph, we are required to convert this to meters per minute;
Here we proceed as follows;
1 mile= 1609.34 miles/hour
1 hour= 60 min
thus to convert from miles per hour to meters per minute we shall have:
speed=distance/time
our distance will be:
distance=9595*1609.34=15,441,617.3 meters
time=(60*1)=60 minutes
thus;
speed=15,441,617.3/60
speed=257,360.2882 meters per minuts
Answer:
D
Step-by-step explanation: 3x8=24 t-shirts
3x2=6 packs
24+6=30$
Answer:
The sides are 3, 4, and 5
Step-by-step explanation:
Let one side be 'n', if the side lengths are consecutive integers, we have
n
n + 1
and
n + 2 are our side lengths. adding 1 to n gives us the next integer. Adding 2 to n gives use the second consecutive integer to n
The perimeter is 12, so our equation is..
n + (n + 1) + (n + 2) = 12
Now combine like terms and solve..
n + n + 1 + n + 2 = 12
3n + 3 = 12
3n = 9 (subtract 3 from both is sides)
n = 3 (divide by 3 on both sides)
Since n = 3,
n + 1 = 4 and
n + 2 = 5
So the sides are 3, 4, and 5