Answer: 36
Step-by-step explanation:
One roll is of length = 9 feet
1 foot = 12 inches
9 feet = 12 *9 = 108 inches
Since there are 5 rolls
So, total length of 5 rolls = 108 * 5 = 540 inches
Since we are given that A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is 9 feet in length.
We are supposed to find . What is the greatest number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon
So, number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon:
Hence the greatest number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon is 36
18.0 1
- 0.4 17.0
_____ - 0.4
-------> ____
17.6
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle
Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a
Explanation of problem:
sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that
since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

x = sin^-1 (16cm/28cm)
Answer:
x = 34.84990458°
I don't know how far rounded you'll need it
I hope this helped!
X=5
Work:
y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
Combine the fractions by finding a common denominator.
10r+9/r(r+3)