A gemstone is cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. The height of the pyramid is 4 millimeters. What is the volume of the gemstone? (Recall the formula V = one-third B h.)

Answers

Answer 1

Answer:

the volume of the gemstone is 56 millimeters^3

Step-by-step explanation:

The computation of the volume of the gemstone is shown below:

As we know that

The volume of the triangular pyramid is

= (1 ÷ 3) × (base area) × h

Now put the given values to the above formula

= 1 ÷ 3 × 42 × 4

=  56 millimeters^3

Hence, the volume of the gemstone is 56 millimeters^3

The above formula should be used and the same should be considered


Related Questions

PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?

Answers

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=1/5x-5

Step-by-step explanation:

so we get the y-intercept and just do rise/run

1 of 5
Work out m and c for the line:
y - 2x = -3
m =
C =
Please help

Answers

Answer:

m = 2, c = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 2x = - 3 ( add 2x to both sides )

y = 2x - 3 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 3

if The ratio of boys to girls in the class was 3 to 2 If there were 12 girls, how many boys were there?

Answers

Answer:

18 boys and 12 girls

Step-by-step explanation:

they multiplied the girls by 6 so u do the same for the boys and get 18

Pleaseeeee help ill give brainliest answer if you knowww don’t answer if u don’t know and please don’t try and give me a virussss

Answers

Answer:

for the first one. mean = 39 median = 39.5 mode = 34 and range = 44

second one mean = 32.2 median =33 mode unsure range = 29

third one meam = 48 median = 44.5 mode = 24 range = 62

fourth one mean = 27 median = 23 mode = 23 and range = 11

Step-by-step explanation:

hope this helps

Answer this question to get marked as brainliest!!!!!

Answers

Answer:

h

Step-by-step explanation:

help in need help and plz dont give me a website plz

Answers

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

what is the slope of -3 ?

Answers

Answer:

there is no slope

Step-by-step explanation:

hope that helped

Suppose f(x)=x^2 what is the graph of g(x)=f(2x)

Answers

Answer:  

The graph is attached.  

Step-by-step explanation:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.

what is a/b if a-b=2

Answers

Answer:

Step-by-step explanation:

2+b/ b pretend this is a fraction

PWEASE HELP ME PLEASE PLEASE PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

55ft

Step-by-step explanation:

55 hope it helps!!!
....

what expression is a factor of 18x²-15x+2

Answers

Answer:

Your answer is (6x−1)(3x−2)

Step-by-step explanation:

1. Cole bought a snowmobile for $600. He spent $430 on parts to fix it, then sold it for
$1,100.

a. What was his profit?

b. If he spent 8 hours fixing it, how much money did he make per hour?

Answers

Answer:

70$ profit

8.75 per hour

Step-by-step explanation:

Ole's profit was $70 and Ole made $8.75 per hour fixing and selling the snowmobile.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the profit, we need to subtract the total cost of buying and fixing the snowmobile from the amount he sold it for:

Profit = Selling Price - Total Cost

Total Cost = Purchase Price + Cost of Parts

Total Cost = $600 + $430 = $1030

Profit = $1100 - $1030 = $70

Therefore, Ole's profit was $70.

b. To find the money Ole made per hour, we need to know how much time he spent fixing the snowmobile.

He spent 8 hours fixing it, so his hourly rate would be:

Hourly Rate = Profit / Time

Hourly Rate = $70 / 8 hours

Hourly Rate = $8.75 per hour

Therefore, Ole made $8.75 per hour fixing and selling the snowmobile.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Estimate the sum 7.36 + 9.47​

Answers

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

----------

16.83

Look at the expression below: 7 * 11 * 13. How many factors does the product of the expression have?

Answers

Answer:

3 factors.

Step-by-step explanation:

When we have a product of some numbers A, B and C

A*B*C

(here I used 3, but the number does not matter, is just for the example)

To find the number of factors of the product, we first need to find the number of factors for each one of the numbers that is being multiplicated.

Here you need to remember that every integer number can be written as a product of prime numbers.

For example, 15 can be written as:

15 = 2*3*5

So the number 15 has 3 factors.

In the case of prime numbers, like 7, we have:

7 = 7

So 7 has only one factor in its decomposition.

In our case, our numbers are:

7, 11, and 13.

We can see that the 3 numbers are prime numbers.

Then each number has only one factor in its decomposition.

Then we have 3 factors in the multiplication, it is:

7*11*13

factorize : 16-(x-3)2​

Answers

Answer:

( 1 + x) ( 7 - x)

Step-by-step explanation:

Here's what I did

16 - ( x - 3)^2....expand this

16 - (x² + 6x + 9).....after exanding

16 - 9 + 6x - x²......like terms together

7 + 6x - x² ......rearrange

-x² + 6x + 7......look for the product, sum and factors

( 1 + x) ( 7 - x)

2. In which set of ordered pairs is y a function of x?
A. {(1, 3), (2, 3), (3, 3), (4,3)}
B. {(0, 2), (2, 5), (0, 4), (1,5)}
c. {(1, 5), (2, 6), (4,8), (1,4)}
D. {(1, 3), (2, 5), (2, 7), (3,5)}

Answers

Answer:

c. although set a, is a proper function, with y being the function of x, c is the answer.

Use the interactive graph below to sketch a graph of y=-3 • 2^x-4

Answers

the answer is

x = - y + 4 / 6

The exponential function y = -3× 2⁽ˣ⁻⁴⁾ shows an exponential decay in the graph.

What is Exponential Function?

An exponential graph is a curve that represents an exponential function. An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. The graphs of exponential functions are nonlinear because their slopes are always changing, like curves, not straight lines

In the function given, we have that

y = -3× 2⁽ˣ⁻⁴⁾

This can be represented on a graph which shows an exponential decay of the function.

Learn more on exponential function here;

brainly.com/question/17037823

#SPJ2

If m
what would be the answer

Answers

okay. !!!!!!!!!!!!!!!!

DONT ANSWER IF YOU DONT KNOW, if you do please answer

Answers

Answer:

the answer is c 253.5

Step-by-step explanation:

6.5×6.5+6.5×6.5+6.5×6.5+6.5

×6.5+6.5×6.5+6.5×6.5

=253.5

Can anyone help please

Answers

This the answer. Look at the picture for the answer.

A man sells 8 articles for Rs. 7360 and makes a profit of
15%. Find the gain or loss percent if he sells 13 such
articles for Rs. 11440.
(Ans: 10% gain)​

Answers

Answer:

SP of 8 articles =Rs 7360

Profit=15%

Now,

SP of each article =7360/8= Rs920

Wkt,

SP=CP+profit (let CP=x)

920=x+15%of CP

920=x+15÷100× x

920=x+15x÷100

920=(100x+15x)÷100

920=115x÷100

92000=115x

92000÷115=x

Therefore, x=Rs 800

CP=800(i.e Cost price of one article)

Again,

SP of 13 articles=Rs 11440

SP of 1 article=11440÷13=Rs 880

Since,SP>CP

Profit!

Profit=SP-CP

=880-800

=Rs 80

Profit%=profit÷CP×100%

=80÷800×100

=10%

PLeaase answer it, its really important ill give out brainliest

Answers

Answer:

y=-4

Step-by-step explanation:

find the solution of given expression

[tex] \sqrt{6 \times 216} [/tex]

Answers

Answer:

[tex]\sqrt{6\cdot \:216}=\sqrt{1296}[/tex]

[tex]=\sqrt{36^2}=36[/tex]

5x + 3 < -7
you have to show work

Answers

Answer:

gev5y

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

5x + 3 < -7

5x  < -7-3

5x<-10

x<-10/5

x<-2

Mr. Klein bought 55 Star Wars figurines right after he
saw Star Wars for the first time in 1977. Now, in 2021,
he decides he will add an additional 11 figurines to his
collection each month. The function f(t) = 11t+55
represents the total number of figurines, f(t), Mr. Klein
has in his collection as a function of the number of
months, t.
What is the highest numbers of months that can pass
such that Mr. Klein still has less than 253 figurines in
his collection?

Answers

Answer:

542

Step-by-step explanation:

May the 4th be with you (When it's May 4th lol)

Kathy earns $445 a week for 40 hours of work and $25 an hour for each hour over 40. How many hours did Kathy work if she earned $570 in one week?​

Answers

Answer:

45 hours

Step-by-step explanation:

you subtract the standard price from the increased price which is 570.

you get 125 and divide by the amount of money added per hour then you get five

add that 5 to the standard hours per week

40 + 5=45

Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!

Answers

Answer:

13

Step-by-step explanation:

It would have to be 13, because if you look at the top of the shape, you see the little 45 degrees. You can also see the 90 degrees right angle. Triangles no matter what add up to 180 degrees.

(a is the unknown angle in the bottom right)

90+45+a=180

45+a=90

a=45

now that we have that , we know that it has to be symmetrical.

so it can only be 13

hope this helps!

I need help one please

Answers

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Step-by-step explanation:

Factors are numbers multiplied together to make the final product.

1*72=72

2*36=72

3*24=72

4*18=72

6*12=72

8*9=72

Answer:

The factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and of course 72

Step-by-step explanation:

Factors are what the number can be divided by equally or what those numbers can be multiplied by to get 72.

Please let me know if this helps!

which angle pair is a pair of corresponding angles?

Answers

Answer:

B - ∠b and ∠f

Step-by-step explanation:

Corresponding angles are the angles in matching corners of the intersections in the traversal. Since ∠b and ∠f are in the same position relative to the intersection, they are corresponding.

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