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2 years ago

The volume vv of a pyramid is given by the formula v=13bhv=13bh, where bb is the area of the base and hh is the height.

Mathematics

1 answer:

Setler [38]2 years ago

4 0

Volume of pyramid(V) = $\frac{1}{3}bh$

where 'b' is the base area and 'h' is the height.

We have to determine the formula for height 'h'.

$V = \frac{1}{3}bh$

Multiplying by '3' on both the sides of the equation.

$3V = bh$

$h = \frac{3V}{b}$

So, the formula for height 'h' of pyramid is $h = \frac{3V}{b}$ .

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you bought 5 chocolate bars and 8 blow pops for $23.25 your sister bought 2 chocolate bars and 13 blow pops for 21.55 how much d

kirza4 [7]

Answer:

$2.65

Step-by-step explanation:

Let chocolate bar = c and blow pops = b

<u>As per given we have equations below:</u>

5c + 8b = 23.25
2c + 13b = 21.55

<u>13 times the first equation minus 8 times the second to eliminate b and find c:</u>

13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55)
65c - 16c = 129.85
49c = 129.85
c = 129.85/49
c = 2.65

Each chocolate bar costs $2.65

7 0

2 years ago

Which of the following factors gives a product of×²+5+4?

Sauron [17]

X square + 1x + 4x + 4
X(x+1)+4(x+1)
(X+1)(x+4)

7 0

2 years ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago

Covert 15/7/8 to a decimal

serg [7]

Answer:

0.268

Step-by-step explanation:

In the attached file

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2 years ago

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A dolphin eats 30 pounds of fish per day. Write and graph a function that relates the number of pounds p of fish that a dolphin

leva [86]

P=30d

I hope I helped!

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2 years ago

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