Answer:
177 square cm
Step-by-step explanation:
The radius is half the diameter, so r=7.5 cm. Substituting into the formula for the area of a circle,
square cm.
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The given is a right triangle.
Two sides are given as 120 and 122.
120 is adjacent
122 is hypotenuse
Using SOH CAH TOA


taking cos inverse on both sides

Using calculator
C = 10.39 : Answer
Hope it will help :)
Answer:
1.0282
Step-by-step explanation:
The multiplier for a increase of a% is 1 + a/100.
The multiplier for a decrease of b% is 1 - b/100.
Decrease of 3% followed by a 6% increase:
Calculate each multiplier, and then multiply then:
Decrease 3%: 1 - (3)/100 = 0.97
Increase 6%: 1 + (6)/100 = 1.06
0.97*1.06 = 1.0282
The answer is 1.0282