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
kifflom [539]
3 years ago
13

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is V = \frac{1}{3}(l*w*h)

  • Here we have volume (V), base (L), and width (W)
  • V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

  • First we need to multiply both sides by 3 to get rid of the fraction:  3V = L×W×H
  • Then we need to divide both sides by (L×W) to get: \frac{3V}{lw} =h

Now we can plug in the given values:

  • \frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in
  • The height is 9 inches
You might be interested in
How do you solve the three forms: Slope Y-intercept form Standard Form Point slope form
Nostrana [21]

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

4 0
3 years ago
Johson has 4 points. If a line connects two points, how many lines can he draw? <br> 1,4,6 or 12
Maslowich
The answer is 6
hope this helps!
7 0
3 years ago
In a newspaper, it was reported that yearly robberies in Springfield were down 30% to 91 in 2013 from 2012. How many robberies w
Artyom0805 [142]

Answer:

130

Step-by-step explanation:

3 0
3 years ago
QUESTION ATTACHED PLZ HELP NEEDED
saw5 [17]
Y = a (x + 3)² - 1

Let's take the point (-1;3)

3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4

Therefore a = 4/4 = 1

(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8

The answer would be y = x² + 6x + 8.

Hope this helps !

Photon
4 0
3 years ago
The wind blew away 24 of your muffins. That was 3/4 of them! How many are left?
forsale [732]
Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.
3 0
3 years ago
Other questions:
  • Suppose that your mom gives you $20 to go to the school supplies store. there is a 6% sales tax on supplies. you need to buy the
    11·1 answer
  • Write an equation for L in point slope form L is parallel to y=5x. points (1,-1)
    12·2 answers
  • Store - Cost to Store - Markup
    10·1 answer
  • Ants are one of the lizard's favorite foods. it can eat 45 ants per minute. how long would it take this lizard to eat 1080 ants?
    7·2 answers
  • Factoring with GCF worksheet algebra 1
    7·2 answers
  • What is the expression of the product of w and 8
    15·1 answer
  • Solve 6x^2 - 12x + 24 = 0 by completing the square
    13·1 answer
  • A farm allows customers to cut their own Christmas trees. The farm uses the equation y = 15x + 10 to determine the total charge,
    9·1 answer
  • There are 80 cupcakes to be sold at school for a
    7·1 answer
  • Need help with this question
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!