Answer:
y > 4
Step-by-step explanation:
2 (5y-4)>32
Divide each side by 2
2/2 (5y-4)>32/2
5y-4 > 16
Add 4 to each side
5y-4+4 > 16+4
5y > 20
Divide each side by 5
5y/5 > 20/5
y > 4
Answer:
<em>7, 22</em>
Step-by-step explanation:
Let S = the smaller number.
"The larger number is 1 more than 3 times the smaller number."
The larger number is 3S + 1.
The difference between the numbers is 15, so the larger number minus the smaller number equals 15.
3S + 1 - S = 15
2S + 1 = 15
2S = 14
S = 7
The smaller number is 7.
larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22
The larger number is 22.
Answer:
216 m³
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of area dimensions.
s = √(216/1014) = √(36/169) = 6/13
Then the ratio of volume dimensions is the cube of that. The smaller volume is ...
v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³
The volume of the smaller solid is 216 m³.
Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
