Answer:
<h3>9.43</h3>
Step-by-step explanation:
The formula for calculating the distance between two points is expressed as
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
<em>D = 9.43</em>
<em>Hence the distance between the life guard and the swimmer is 9.43</em>
<em></em>
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
An
amusement park ride has a moving platform attached to four swinging arms. The
platform swings back and forth, higher and higher, until it goes over the top
and around in a circular motion. In the diagram below, AD and BC represent two of the swinging arms, and DC <span>is parallel to the ground
</span>(line l). Explain
why the moving platform AB <span>is always parallel to the ground.</span>
Answer:
$46.00
Step-by-step explanation:
$46.00 - $20 + $5 = $21
Answer:
-10 feet below the surface of the water
Step-by-step explanation:
We are told that the dive rings position at the bottom of the pool is 10 feet below the surface of the water.
Now, an integer is basically a whole number that can either be be zero, positive or negative.
In this case, it's below the surface which means it's below zero.
Thus, it's negative.
So the integer is -10 feet below the water surface.
