Answer:
Height = 7.5 inches
Width = 10 inches
Length = 30 inches
Step-by-step explanation:
Volume of the shape (V) = length (l) * width (w) * height (h)
From the question, the length = 3w
So, V = 3w * w * h
V = 3w²h
h = V/3w²
h = 2250/3w²
Therefore h=V/(3w^2) where V is the volume.
Considering the fact that the top of the rectangular box is missing
The Surface Area (S) = (l*w) + 2(l*h) + 2(w*h) --------------------- (replace l with 3w and h with 2250/3w²)
S = 3w*w + 2(3w)(2250/3w²) + 2w(2250/3w²)
S = 3w² + 4500/w² + 1500/w
S = 3w² + 6000/w
We need to find the minimum of the above function (equation) by finding its first derivative with respect to A
Differentiating the above function, we have
0 = 6w - 6000/w²
6000/w² = 6w
6000 = 6w³ ------------ Divide through by 6
1000 = w³ ---------------- Find the cube root of both sides
10 = w
w = 10
Hence, width of the rectangular box is 10 inches
To solve height, we use
h = 2250/3w²
So, h = 2250/(3*10²)
h = 2250/300
h = 7.5 inches
To find the length, we use
l = 3w
So, l = 3 * 10
l = 30 inches
Answer:
Distance=Speed×Time
When speed is 40 kmph
Distance traveled by car =40×9
=360 km
When speed is 60 kmph
Time taken to complete the journey =
60
360
=6 hours
First, put the numbers in order
A. 1,2,3,4,5,7,8,8,9.....median (middle number) is 5..when there is an odd number of data values, there will only be one median.
B. 14,14,15,16,17,18,19,20....if there is an even number of data points, there will be 2 middle numbers. In that case, u add the 2 middle numbers and divide by 2 to find the median. (16 + 17) / 2 = 33/2 = 16.5 is ur median.
Answer:
We are given the expression:
Let us evaluate the expression step by step:
Step 1:
Power of a power: In this rule we multiply the powers 4 and (-5) in the numerator.
Step 2:
Quotient of power: Here we will subtract the power of denominator from numerator.
Step 3:
Negative exponent: Here we take reciprocal of what we got in step (2) , that will make the power positive.
Answer: We will use three rules as shown above .
Read more on Brainly.com - brainly.com/question/9374705#readmore
Step-by-step explanation: