The volume of the triangular prism = 
Thus the volume is 
.
Thus the volume is 42 cubic km.
Hope that helps!
Answer:
$19.07
Step-by-step explanation:
First off we need to find the discounted price of the jeans that Jessica bought.
We find the discount by multiplying the original price by 25% or 0.25
Discount Price = 23.98 x 0.25
Discount Price = 5.99
Now we subtract the discount from the original price.
Discounted Price = 23.98 -5.99
Discounted Price = 17.99
Now that we have the discounted price, we then compute for the sales tax.
Sales Tax = 17.99 x 0.06
Sales Tax = 1.08
Then we add the sales tax to the discounted price.
Total Price = 17.99 + 1.08
Total Price = $19.07
Jessica spent $19.07 on the jeans.
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Answer:
30
Step-by-step explanation:
To find the determinant of a 3x3 matrix, you can use this method. (See picture.)
Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.
Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.
det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]
det A = -2 (3)(-5) − 0 + 0
det A = 30
Answer:
Between 150 and 200
Step-by-step explanation:
i just did the assignment .
