Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin Z = 
= 
= 
, thus
Z = 
() ≈ 23.6° ( to 1 dec. place )
A = first piece, b = second piece, c = third piece
a + b + c = 47
b = 3a
c = 5a + 2
a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft
b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft
longest piece (c) = 27 ft
Answer:
v
Step-by-step explanation:
Larger Number: 28
Smaller Number: 20
Answer: 20
Step-by-step explanation:
Let the total number of pencils that Jackson has be represented by x.
Since 20% of his pencils are broken which equals 4. This can be written and represented in an equation as:
20% of x = 4
20/100 × x = 4
0.2x = 4
x = 4/0.2
x = 20
There are a total of 20 pencils
