A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the prism. Which expression gives the volume of the pyramid?Its not v=1/3*b*h

a.v=2/3bh
b. v=1/4bh
c.v=2bh
d.v=1/6bh

Answers

Answer 1
Answer:

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 2
Answer:

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


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A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

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

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Points, in case you need to ask a question.

Answers

Is anyone good at 8th grade math? Rational numbers; I need help

What is the probability a 1-6 number cube lands on a composite number? 0.25 0.33 0.50 0.875

Answers

a compsite number is a number that is NOT prime
technically 1 is not prime since the definition is divisible by 1 and itself
2 is prime
3 is prime
4 is not prime
5 is prime
6 is not prime

2 solutions for 2 different views:
A: 1 is prime
B: 1 is not prime

A: 1 is prime
so we have 1,2,3,5 are prime and 5 and 6 are not
probablity is (desired outcomes)/(total possible outcomes)
desired outcomes=2 (5 and 6)
total possible outcomes=6 (6 numbers on cube)
2/6=1/3=0.33
probabiligy is 0.33


B: 1 is not prime
if 1 is not prime then we have 2,3,5 as prime and 1,4,6 as not prime
probability is (desired outcomes)/(total possible outcomes)
desired outcomes=3 (1,4,6)
total posible outcomes=6 (6 faces on cube)
3/6=1/2=0.5
the probability is 0.5



TECHNICALLY 1 is not prime so the answe ris 0.5

Answer=0.5

To find probability, we must find out the chances of rolling and even number. Out of the 6 sides on a dice, only 3 are even. So 3/6 are even

3/6=0.5

What is the definition of complimentary angles?Two angles that add to be 180°
Two angles that have a difference of 90°
Two angles add to be 90°
Two angles that have a difference of 180°

Answers

Simple, the answer to this is...

two angles that add up to be the sum of 90°

Now, a quick tip.

To know the difference between supplementary (180°) and complementary (90°) angles...

the in supplementary can be viewed as an 8, while in complementary the c can be viewed as a 9....

Thus, your answer....C.

The sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers

Answers

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)

-16t squared + 16t + 480 t=time after jumping in seconds h=height in feet How many seconds did did it take her to hit the water

Answers

that is height
h=16t^2+16t+480
when h=0 is when it hits the water

0=16t^2+16t+480
undistribbute 16 for ease
0=16(t^2+t+30)
16*0=0 so assume
t^2+t+30=0
factor
(t+6)(t-5)=0
set to zero

t+6=0
minus 6
t=-6
false, since you cannot have negative time

t-5=0
add 5
t=5

at t=5 she hits the water


5 seconds