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pav-90 [236]
2 years ago
12

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet.

Mathematics
2 answers:
kari74 [83]2 years ago
4 0
<span>square pyramid</span>
V=b² h/3------------ >12=9*h/3------------ >h=12/3---- >h=4 

 the answer is h=4 feet
serious [3.7K]2 years ago
3 0
Answer: 4 ft^2

Explanation:

1) Data:

a) Figure: square pyramid
b) Volume: 12 ft^3
c) base lenght: 3 ft

2) Formulas:

The formula for the volume of a pyramid is:

Volume = (1/3) * area of the base * height

The formula for the area of the base is:

area of the base = (base length)^2

3) Solution

From the volume formula: height = 3 * volume / area of the base

area of the base = (3 ft)^2 = 9 ft^2

height = 3 * 12 ft^3 / 9 ft^2 = 4 ft^2


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The sum of all the ages of Dylan and Renee is 57 years . 9 yrs ago , Dylans age was 2 times Renee's age. How old is Dylan now?​
Ugo [173]

Answer:

Step-by-step explanation:

let present age of

Dylan=x

Renee=y

x+y=57

9 years ago

x-9=2(y-9)=2y-18

x=2y-18+9=2y-9

so  2y-9+y=57

3y=57+9=66

y=66/3=22

x+22=57

x=57-22=35

Dylan's present age=35 years

3 0
2 years ago
3. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is: (a) 1 – n
zaharov [31]

Answer:

If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day

will be \frac{1}{n}.

Step-by-step explanation:

From the question, it is clear that

  • If ‘A’ can finish a work in ‘n’ days, then
  • we have to determine the part of work finished in 1 day.

So

let 'n' be the number of days A takes to complete the whole work

Let the whole job be denoted as '1'

Thus, the part of work finished in 1 day will be:

                      \:\frac{Total\:work}{Time\:taken\:by\:A\:to\:complete\:the\:work}\:=\frac{1}{n}

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be \frac{1}{n}.

                             

Keywords: work, word problem

Learn more about word problem form brainly.com/question/12419898

#learnwithBrainly

3 0
3 years ago
Need a math genius for help
asambeis [7]

Answer:

5

Step-by-step explanation:

The answers equivilant to 3 are 1,5,7

Pick the angle is closer to the middle (interior). 5

7 0
3 years ago
Choose the correct description of the graph of the compound inequality shown below;
baherus [9]

Answer: C Hope it's helpful

3 0
3 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
2 years ago
Read 2 more answers
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