The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base of the pyramid and h is the height of the
pyramid.
What is the volume of this pyramid in cubic inches?
What is the volume of this pyramid in cubic inches?
1 answer:
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The two linear equations in two variable is:
12 x + 3 y = 40
7 x - 4 y = 38
(a) For a system of equations in two Variable
a x + by = c
p x + q y = r
It will have unique solution , when
As, you can see that in the two equation Provided above
So, we can say the system of equation given here has unique solution.
(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.
1. 12 x+3 y=40
2. 7 x-4 y=38
Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),
L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)
= 30 -10.20
= 19.80≠ R.H.S that is 40.
Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)
= 17.5 +13.6
= 31.1≠R HS that is 38
So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.
Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin =
[by general trigonometry formula: ]
so if , we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
[by general trigonometry formula]
- here, now
so, the final value can be 120/169 or -120/169.
Answer:
Inverse function is .
Step-by-step explanation:
Given function is .
Now we need to find the inverse of the given function.
Step 1: replace f(x) with y
Step 2: switch x and y
Step 3: solve for y
Hence required inverse function is .