Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have

Let A represents area, and area is the product of length and width .
So we get

Substituting the value of y, we will get

Second part
The area is maximum at the vertex, and vertex is

And

And that's the required dimensions .
Answer:
<h2>18mins</h2>
Step-by-step explanation:
This problem is on combined work rate
given that
Marta can vacuum the house in 30 min
then her rate= 1/30
Also, her daughter will take 45 min to vacuum the house
her daughter's rate will be = 1/45
then the combined work rate is
1/30+1/45=1/T
30+45/30*45=1/T
75/1350= 1/T
1/18=1/T
This means that they will both take 18 minutes working together to vacum a house
M = - 7 - 3 / - 2 - 4
m = - 10 / - 6
m = 10/6
m = 5/3
y = 5/3x + c , (4,3)
3 = 5/3(4) + c
12 = 20 + 4c
4c = - 8
c = - 2
y = 5/3x - 2
i am a mathematics teacher. if anything to ask please pm me
Answer:
Step-by-step explanation:
For 5 we need to use sine law.
The thing about sine law is that we need to look at the triangle sides that are in front of the angles.
In this case: <B = 30°
the triangle side that is in front of this angle is AC which is 4 cm.
Then we got <C = 61°, and the triangle side in front of it is AB, which is what we need to find.
According to sine law:

Notice that you need to be consistent. If you start writing that the angle is in the numerator, it needs to be in the numerator on the other side of the equation.
Solving it would give us:
(AB )(sin 30) = (sin 61)(4)
AB = 6.9969 cm
to the nearest tenth it's 7.0 cm
Question 6:
Wow it's pretty crowded, but they probably want us to use sine law as well. Let's write what we know:
<C = 12°
<B = 107°
AB = 21 yd
AC = ?
Apply it to the formula: sin(angle) / the triangle side in front of it.

(sin 107)(21) = (sin 12)(AC)
AC = 96.59
to the nearest tenth AC = 96.6 yd