Answer: D) V= 1/6 bh
Step-by-step explanation:
Since according to the given question, A pyramid is placed inside a prism.
And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.
Therefore, base area of the pyramid = b
Height of the pyramid = h/2
Since, The volume of the pyramid,
V = 1/3 × base ares × height
V= 1/3 × b × h/2
V= 1/6 bh
Thus the required volume = 1/6 bh cube unit.
Therefore Option D is correct.
Answer:
V = 1/6 BH
Im also taking this class on edmentum
Step-by-step explanation:
the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6
Answer:
The equation is y = 4x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x + b
Substitute the x and y value into the equation
7 = 4(1)+b
7 = 4+b
Subtract 4
7-4 =b
3=b
The equation is y = 4x+3
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of line
Two angles that have a difference of 90°
Two angles add to be 90°
Two angles that have a difference of 180°
Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)