Answer:
V = StartFraction 7 times 6 over 2 EndFraction times 8
Step-by-step explanation:
Volume of a triangular prism is expressed as V = Base area × Height
Base area = area of the triangle = 1/2 × base × height
If the triangular base has a base of 7 inches and height of 6 inches.
The height of the prism is 8 inches.
Base area = 1/2 × 7 × 6
Base area = (7×6)/2
Height = 8
V = (7×6)/2 × 8
The right option is V = StartFraction 7 times 6 over 2 EndFraction times 8
Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
Answer:
12:3
Step-by-step explanation:
Answer:
5 rad
Step-by-step explanation:
Recall that the length of an arc of circumference is given by the formula:
, where 
is the subtended angle [in radians] from the circumference's center.
Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle using the above equation as shown below:
Answer:
The answer is A
Step-by-step explanation:
We need to multiply 1876 by 12. 1876 * 12 = 22, 512. That's our answer
