All categories

3 years ago

Help fast pleaese Given a pyramid l = w = 9.0 mm and V = 324.0 cubic mm , find h in mm.

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer: h = 12mm

Step-by-step explanation:

The volume of a pyramid is given as :

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

Therefore:

324 = $\frac{1}{3}$ lwh

324 x 3 = 9 x 9 x h

Therefore:

h = 972/81

h = 12mm

You might be interested in

What is the sum: (1−5q)+2(2.5q+8)

mash [69]

The answer is seventeen

7 0

3 years ago

Read 2 more answers

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0

2 years ago

Please Evaluate 1/6 + 2/3

weeeeeb [17]

Answer:

Step-by-step explanation:

4/6

5 0

2 years ago

Read 2 more answers

if a dollar was worth a dollar back then today is worth 3 dollars if you had 52$ back then how much would be worth today?

MissTica

Answer:

I think it is $156

Step-by-step explanation:

Multiply the numbers

6 0

3 years ago

Read 2 more answers

Can someone help me with this?

Alexeev081 [22]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the areas,

Area of a rectangle = length * width.

hence, l = 11 and w = 4

hence, 4*11 = 44 square units.

Area = 44 sq. units

8 0

3 years ago