Answer:
c = 
Step-by-step explanation:
Given
R= 
Clear the radical by squaring both sides
R² = b² - 4ac ( subtract b² from both sides )
R² - b² = - 4ac ( multiply all terms by - 1 )
b² - R² = 4ac ( divide both sides by 4a )
= c
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
Hope this will help..........
Answer:
7
Step-by-step explanation:
time=<u>interest</u>
P*R
time=<u>1386*</u>100
6.6 * 3000
<u>time=7</u>
