Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:

where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as
.
We can plug that definition of w into the perimeter equation to find the length:

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

So the width is 18
Answer:
The son is 20 and a half years old.
The father is 36 and a half years old.
Step-by-step explanation:
We can solve this easily by turning it into an equation.
Let the mans age be y and the fathers age be x.
y+x=57
x=y+16
We can use the substitution method to solve for the first equation.
y+(y+16)=57
Now we only have one variable to solve for. Add like terms.
2y+16=57
Subtract 16 on both sides.
2y=41
Divide both sides by 2 to isolate y.
y=20.5
Now substitute 20.5 for y to solve for x.
20.5+x=57
Subtract 20.5 from both sides.
x=36.5
<em>The son is 20 and a half years old.</em>
<em>The father is 36 and a half years old.</em>
Hope this helps!
y=kx and y=
are two equations of constant of proportionality
Step-by-step explanation:
There are two equations for the constant of proportionality. That is
(i) Direct proportion
(ii) Inverse proportion
In direct proportion y=kx, Now
if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.
In Inverse proportion y=
, Now
if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.
In direct proportion, we put y=1 and x=2, So k=
.
So, the equations y=kx and y=
are two equations of constant of proportionality.
Answer: V =
(third option)
Given Information:
- V =
<-- volume formula. - r = 5
- y = 13
- <em>h = ?</em>
To find h...
- h, r, and y make a right triangle.
- h and r are the two legs, y is the hyptenuse.
- h = 12
Use formula:
Answer:
ok fking fk it ill just tell you, the most affordable way is doing it as a 4*3 package, the length will be 16, width 12, and the height 5. the area will be 960in^3, and the SA will be 664 in^2
Step-by-step explanation: