1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.
2. -18 squared + 82 squared = 6400
square root of 6400 is 80 Answer: 80 inches
Answer:
1) b=14.34 units.
2) a=20.48 units
Step-by-step explanation:
since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.
let the base be denoted by 'B'.
height or perpendicular side of the triangle be denoted by 'P'.
and hypotenuse of the triangle be denoted by 'H'.
then using sine and cosine trignometric identity we have:
and
Here x=35°
and H=25 units , P=b and B=a
Hence
as
hence, b=14.3394 units.
also
and
Hence a=20.4788 units
In two decimal places we could represent it as:
a=20.48 units
and b=14.34 units.
let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.
think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.
now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area. Well, what is the circumference of that shaded area?
well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?
Answer:
Total amount paid = 20 + 15x
11 months
Step-by-step explanation:
Annual fee = $20
User charge per month = $15
Number of months = x
Total amount paid = 20 + 15x
Felix prepaid = $185
Total amount paid = 20 + 15x
185 = 20 + 15x
Subtract 20 from both sides
185 = 20 + 15x
185 - 20 = 20 + 15x - 20
165 = 15x
Divide both sides by 15
x = 165 / 15
= 11
x = 11 months