1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Y_Kistochka [10]
3 years ago
12

What is the height of a square pyramid with a volume of 75 cubic feet and base length of 5 feet

Mathematics
2 answers:
natima [27]3 years ago
5 0
So hmm notice the picture below

is a "square" pyramid, thus, the base is a square, all sides are the same

now, we know the volume is 75 and one side is 5

thus \bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}\cdot Base\cdot height\qquad 
\begin{cases}
Base=length\cdot width\\
\qquad\qquad  5\cdot 5=25\\
V=75
\end{cases}\\\\\\ 75=\cfrac{1}{3}\cdot 25\cdot h

solve for "h" or height

Ostrovityanka [42]3 years ago
4 0
The height of the pyramid is 9 feet

You might be interested in
What is the slope-intercept form of the equation of the line that passes through (0, 5) and (2, 1)?
11Alexandr11 [23.1K]

Answer:

Y= -2x + 5

Step-by-step explanation:

6 0
3 years ago
What is the function value of f 4
Schach [20]

Answer:

0

Step-by-step explanation:

Substitute to get 4^2-8/ 4^2 equals 8, 8-8=0

hope this helps

4 0
3 years ago
Monica has 24 packs of fruit snacks. She wants to put 3 packs in each bowl. Write a multiplication sentence that Monica can use
dolphi86 [110]

Answer:

8

Step-by-step explanation:

24/3=8

3 times 8 equals 24

7 0
3 years ago
Find all n∈IN such that the number of digits of n equal to n
Butoxors [25]
Note that \log_{10}1=0, \log_{10}10=1, \log_{10}100=2, and so on. The function \log_{10}x is continuous and increasing for all x>0, so when 1, we have 0; when 10, 1; and so on.

This means

\lfloor\log_{10}x\rfloor=\begin{cases}0&\text{for }1\le x

which means we can capture the number of digits of n\in\mathbb N with the function \lfloor\log_{10}n\rfloor+1.

So the problem is the same as finding positive integer solutions to

\lfloor\log_{10}n\rfloor+1=n

We know that n=1 has one digit, so clearly this must be a solution. We need to show that this is the only solution.

Recall that \dfrac{\mathrm d}{\mathrm dx}[\log_{10}x+1]=\dfrac1{\ln10\,x}, while \dfrac{\mathrm d}{\mathrm dx}[x]=1. This means \log_{10}x increases at a much slower rate than x as x\to\infty. We know the two functions intersect when x=1. Therefore it's clear that x>\log_{10}x+1 for all x>1.

Now, it's always the case that \lfloor f(x)\rfloor\le f(x), so we're essentially done:

x>\log_{10}x+1\ge\lfloor\log_{10}x\rfloor+1

which means there are no other solutions than n=1.
5 0
3 years ago
consider the quadratic function: f(x) = x2 – 8x – 9 Vertex: What is the vertex of the function? ( , )
Aleksandr [31]

Answer:

The vertex point of the function is (4 , -25)

Step-by-step explanation:

- Lets explain how to find the vertex of the quadratic function

- The form of the quadratic function is f(x) = ax² + bx + c , where

 a , b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept (numerical term)

- The x-coordinate of the vertex point is -b/a

- The y-coordinate of the vertex point is f(-b/a)

* Lets solve the problem

∵ f(x) = x² - 8x - 9

∴ a = 1 , b = -8 , c = -9

∵ The x-coordinate of the vertex point is -b/a

∴ The x-coordinate of the vertex point = -(-8)/2(1) = 8/2 = 4

- To find the y-coordinate of the vertex point substitute x by 4 in f(x)

∵ f(4) = (4)² - 8(4) - 9

∴ f(4) = 16 - 32 - 9

∴ f(4) = -25

∵ f(4) is the y-coordinate of the vertex point

∴ The y-coordinate of the vertex point is -25

∴ The vertex point of the function is (4 , -25)

5 0
3 years ago
Read 2 more answers
Other questions:
  • For which system of equations is (2, 2) a solution?
    12·1 answer
  • Joanna bought 1 1/2 pounds of apples, 3/4 pound of strawberries, 1/2 pound of grapes, 1 3/4pounds of oranges, and 1 1/4 pounds o
    11·2 answers
  • Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
    5·2 answers
  • Choose the correct graph of the given system of equations.<br><br> y − 2x = −1<br> x + 3y = 4
    6·2 answers
  • What is a unit fraction
    7·2 answers
  • If triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x
    11·1 answer
  • How do i delete my question?
    7·1 answer
  • Is y=2x+7 a function? <br> Yes or no
    10·2 answers
  • Number line showing 7/10
    8·1 answer
  • HELP PLEASE! FIND THE SURFACE AREA OF PYRAMID
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!