<h2>
The diagonal is increasing at 1.8 cm/minute.</h2>
Step-by-step explanation:
Let l be one side,w be other side and s be diagonal.
We have
s² = l² + w²
We have
l = 8 cm
w = 6 cm
s² = l² + w²
s² = 8² + 6²
s² = 100
s = 10 cm
Taking derivative with respect to time in s² = l² + w²

The diagonal is increasing at 1.8 cm/minute.
Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer:
16
Step-by-step explanation:
1/4(b-8)=2
b-8=2/(1/4)
b-8=2(4/1)
b-8=8
b=8+8
b=16
Answer: Irrational Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
That number is irrational because it cannot be directly expressed with two integers. Hope this helps, please consider making me Brainliest.
Answer:
2
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
-14/-7 = 2
Check by dividing the third term by the second term
-28/-14 = 2
The common ratio is 2