10a+4+14a-2=14a+31
Add the common variables
24a+4-2=14a+31
24a+2=14a+31
Subract 2 from each side
Subract 14a from each side
Then divide each side by 10
A=-2.9
A= -3.7
Answer:
The product of sin 30° and sin 60° is the same as the the product of cos 30° and cos 60°.
Answer:
48 sq inches
Step-by-step explanation:
Given that,
Ribbon used around a bulletin broard is 28 inches
The length of her board is 6 inches
Let B is breadth of her board. 28 inches is perimeter. The perimeter of rectangle is given by :
P = 2(L+B)
28=2(6+B)
14=6+B
B=8 inches
The area of a rectangle is given by :
A = L×B
A = 8×6
A=48 sq inches
So, the area of her board is 48 sq inches
Represent the data in table form.
x y
--- -----
-2 10
1 -5
3 -15
6 -30
Let y = k*x where k = constant.
Test x = -2:
k*(-2) = 10
k = -5
Test x = 1:
k*x = -5*1 = -5 Correct
Test x = 3:
k*x = -5*3 = -15 Correct
Test x = 6:
k*x = -5*6 = -30 Correct
Therefore the relation is
y = -5x, which is a direct variation.
Answer: direct variation.
Because the volume, V varies inversely as pressure, P, let
V = c/P where c = constant
Set V = 320 cm³, P = 40 kg/cm².
320 = c/40
c = 320*40 = 12800
Therefore
V = 12800/P
When V = 200 cm³, obtain
200 = 12800/P
200P = 12800
P = 12800/200 = 64 kg/cm²
Answer: P = 64 kg/cm²