Answer:
The equation that represents her weekly income is p/w or 2500/w.
Step-by-step explanation:
In cases where we're given a certain amount and we wish to divide it in equal parts, we need to divide this amount by the number of parts we wish to obtain. Her weekly income can then be obtained by dividing her monthly income by the amount of weeks on that particular month. So if she earns 2,500 $ dollars a month we have:
weekly payment = p/w = 2500/w
Answer:
this is infinite solutions
Answer:
![LO = OT = 8cm](https://tex.z-dn.net/?f=LO%20%3D%20OT%20%3D%208cm)
Step-by-step explanation:
Given
LT = 16cm
Required
Determine LO and OT
First, we have:
![LO + OT = LT](https://tex.z-dn.net/?f=LO%20%2B%20OT%20%3D%20LT)
From the question, we understand that O is the middle of LT
This implies that LO = OT
Substitute OT for LO in the above formula
![OT + OT = LT](https://tex.z-dn.net/?f=OT%20%2B%20OT%20%3D%20LT)
![2OT = LT](https://tex.z-dn.net/?f=2OT%20%3D%20LT)
Divide both sides by 2
![OT = \frac{1}{2}LT](https://tex.z-dn.net/?f=OT%20%3D%20%5Cfrac%7B1%7D%7B2%7DLT)
Substitute 16cm for LT
![OT = \frac{1}{2} * 16cm](https://tex.z-dn.net/?f=OT%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%2016cm)
![OT = 8cm](https://tex.z-dn.net/?f=OT%20%3D%208cm)
Recall that LO = OT
So;
![LO = OT = 8cm](https://tex.z-dn.net/?f=LO%20%3D%20OT%20%3D%208cm)
1. The answer is 269.3 cm³.
The volume of a the rectangular prism (V) is the product of its length (l), width (w), and height (h):
V = l * w * h
According to the image:
l = 12.1 cm
w = 5.3 cm
h = 4.2 cm
Therefore,
V = 12.1 * 5.3 * 4.2 = 269.3 cm³
2. The answer is 1,756.3 yd³.
The volume of the triangular prism (V) is:
V = 1/4 * h √(a⁴ + 2(ab)² + 2(ac)² * b⁴ + 2(bc)² * c⁴)
where: h - height of the prism,
a, b, c - sides of the base
According to the image:
h = 24 yd
a = b = c = 13 yd
Therefore:
V = 1/4 * 24 * √(13⁴ + 2(13 * 13)² + 2(13 * 13)² * 13⁴ + 2(13 * 13)² * 13⁴)
V = 1756.3 yd³
I hope this help,sorry if it wrong