Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the
dimensions of 4 centimeters by 6 centimeters? Select two options.
The area of the base of the pyramid, B, is 8 cm.
The area of the base of the pyramid, B, is 24 cm?
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times the volume of this pyramid.
1
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 of the volume of this pyramid.
The volume of this pyramid is 216 cm

Which Statements Are True About A Rectangular Pyramid With A Height Of 9 Centimeters And A Base With

Answers

Answer 1

Answer:

- The area of the base of the pyramid, B, is 24 cm

- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

Step-by-step explanation: Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.


Related Questions

What is the slope of the line shown below?

Answers

Answer:

A. 2

Step-by-step explanation:

Formula for slope of a line (m) = change in y / change in x = ∆y/∆x

Using the coordinates of two points on the line, (1, -4) and (6, 6):

Slope (m) = (6 - (-4)) / (6 - 1) = 10/5 = 2

Slope (m) = 2

Lincoln is preparing many gifts for a family holiday party. Each gift must either be
wrapped with wrapping paper or prepared in a gift bag. Lincoln can wrap a single gift
in 6.5 minutes and he can do a giftbag in 2 minutes. Lincoln prepared a total 13 gifts
in 57.5 minutes. Write a system of equations that could be used to determine the
number of gifts Lincoln wrapped and the number of giftbags he prepared. Define the
variables that you use to write the system.
Let
Let
System of Equations:
Submit Answer

Answers

Answer:

Im not sure but i think you add the vaariableafter the  +

Which is a zero of the quadratic function f(x) = 16x2 + 32x - 9?

Answers

Step-by-step explanation:

[tex] = 16 {x}^{2} + 32x - 9 \\ = (4x + 9)(4x + 1) \\ x = - \frac{9}{4} \: or \: x = - \frac{1}{4} [/tex]

12 degrees below 0 celsius

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

12 degrees below 0 means -12 Degrees

hope it helps you,

Follow me!

pls help me on this question pls and tell me how u got the answer

Answers

Answer:

473 yd²

Step-by-step explanation:

bottom area = 11x11 = 121 yd²

each of the 4 sides = 11x16x0.5 = 88 yd²

4(88) + 121 = 473 yd²

If m = 27 and n = 4, what is the value of the following expression?

Answers

Answer:

2

Step-by-step explanation:

m - 5 • n + 5

plug it in

27- 5 * 4+5

well, we gotta follow PEMDAS (there are no parentheses)

5*4

20

now we have

27-20+5

20+5

25

27-25

2

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.3 per year. a. Find the probability that in a year, there will be 3 hurricanes. b. in a 45-year period, how many years are expected to have 3 hurricanes ? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?

Answers

Answer:

a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The mean number of hurricanes in a certain area is 5.3 per year.

This means that [tex]\mu = 5.3[/tex]

a. Find the probability that in a year, there will be 3 hurricanes.

This is P(X = 3).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386[/tex]

0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b. in a 45-year period, how many years are expected to have 3 hurricanes ?

0.12386 each year. So, for 45 years:

45*0.12386 = 5.57

5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?

5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Shopping Two friends shop for fresh fruit. Jackson buys a watermelon for ​$7.25 and 5 pounds of cherries. Tim buys a pineapple for ​$4.15 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.

Answers

Answer:

Given:

Elena buys a watermelon for $8.25 and 4 pounds of cherries

Tania buys a pineapple for $4.15 and 3 pounds of cherries

Variable "p" represents the price (in dollars) per pound of cherries

To find:

Write an expression to represent the amount that Elena had spent more than Tania

Solution:

Variable "p" ← is the price of the cherries per pound

The price of cherries bought by Elena will be = $ 4p

∴ Total amount spent by Elena during her shopping for fresh fruits is,

= $ 8.25 + $ 4p

= $ [8.25 + 4p]

Also,

The price of cherries bought by Tania will be = $ 3p

∴ Total amount spent by Tania during her shopping for fresh fruits is,

= $ 4.15 + $ 3p

= $ [4.15 + 3p]

Now, we will find that how much more than Tania, Elena had spent during her shopping for fresh fruits, i.e.,

= [Total amount spent by Elena on fresh fruits] - [Total amount spent by Tania on fresh fruits]

= [8.25 + 4p] - [4.15 + 3p]

= 8.25 + 4p - 4.15 - 3p

= $ [4.10 + p]

Thus,  

4.10+P

Also View:

Reshmi family booked a banquet hall at New Delhi whose charges were RS 50,000 for the hall and Rs 200 per plate for dinner write an algebraic expression to determine the cost of wedding function if the number of visitors is denoted by p?

brainly.in/question/14125799

The cost of 5 oranges and 3 apples is 35 and the cost of 2 oranges and 4 apples is 28.Find the total cost of 6 oranges and 4 apples?

brainly.in/question/4837196

Can someone please help and thank you:)

Answers

Answer:

8.25

Step-by-step explanation:

A=a+b

2h=6+5

2·1.5=8.25ft²

Answer:

8.25 ft²

Step-by-step explanation:

According to the formula in the image, we would get 8.25

A = 5 + 6

2 × 1.5 = 6 + 5

8.25ft²

Listed below, out of order are the steps in an accounting cycle.
THESE ARE THE STEPS:1. Analyze transactions from source documents2. Journalize transactions3. Post journal entries to general ledger account4. Prepare unadjusted trial balance5. Journalize adjusting entries6. Prepare adjusted trial balance7. Prepare financial statements8. Journalize closing entries9. Prepare post-closing trial balance
a) Place the numbers from the above list in the order in which the steps in the accounting cycle are performed
A. 3, 6, 2, 1, 4, 8, 5, 9,& 7
B. 2, 3, 6, 1, 4, 8, 5, 9, & 7
C. 3, 6, 2, 1,4,8,5,7,&9
D. 6, 3, 2, 1, 4, 8, 5, 9, & 7
b) Identify the steps in the accounting cycle that occur daily.A. 1, 2, 3, & 6
B. 2, 3, & 4
C. 1, 2, 3, 4,&6
D. 2, 3, & 6

Answers

Answer:

Step-by-step explanation:

The correct order in which accounting cycles are performed helps in structuring and produce an efficient result in the day-to-day activities of any business organization.  This cannot be found in the options given but the correct order is shown below.

1, 2, 3, 4, 5, 6, 9, 8, 7

In other textbooks, it was stated that option A is correct for part 1.

The wide range of various entries or steps of the accounting cycle will happen depending on the circumstance yet these three activities are there any in the business association independent of circumstances.

1, 2, 3

In other textbook, it was stated that option B is correct for part 2.

https://www.savvasrealize.com/community/proxy/assessment/61412825b25d49129d9db14d2c5aad64/images/e6f2866e-e41b-483b-8ca9-9b194d3eedd6
What is the area of the quadrilateral?

Answers

Answer:

I think the answer is 8 m. Hope this helps.

consider the enlargement of the pentagon

what is the value of x, rounded to the nearest tenth?
a. 2.1 centimeters
b. 3.3 centimeters
c. 7.0 centimeters
d. 15.0 centimeters

Answers

Answer:

b. 3.3 centimeters

Step-by-step explanation:

[tex]\frac{7}{x} =\frac{15}{7} \\\\15x = 49\\x=3.3[/tex]

In HIJ, the measure of angle J=90 degrees, the measure of angle H=8 degrees, and HI=30 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

Answer:4.2

Step-by-step explanation:

Find the value of f, correct to two decimal places.

Answers

Answer:

tan26=f/4 --> f= (tan26)* 4

Step-by-step explanation:

Put (tan26) times 4 into calculator!!!!

SOH, CAH, TOA rules!!

sin(x)=opposite/hypotenuse

cos(x)=adjacent/hypotenuse

tangent(x)=opposite/adjacent

DON'T PUT 90 FOR THE (x) VALUE!!

** (x) here means the angle given to you in the question like 26 in this case.

** opposite and adjacent are the sides according to the angle

**hypotenuse is the opposite side of the right angle

Can anyone help me out on this

Answers

Answer:

y=x+10

Step-by-step explanation:

y=mx+b

y=1x+b

1 because for every 10 it goes to the right, it goes up 10 as well.

b=10 because the function crosses the y-axis at 10

so

y=x+10

find the circumference of a circle with an area of 1,134.11

Answers

Step-by-step explanation:

C≈3.54

Using the formulas

A=πr2

C=2πr

Solving for C

C=2πA=2·π·1≈3.54491

Help! I’ll be giving you 20 points!!

Answers

Answer:

D is the answer

Step-by-step explanation:

Rotation of 180 clockwise about point O

Answer: rotation symmetry

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than \begin{align*}360^\circ\end{align*} that carries the shape onto itself.

Step-by-step explanation:

Seventeen is eight more than three times a number. Write this equation.

Answers

Answer:

17 = 3x+8

Step-by-step explanation:

Students picked 144 ounces of strawberries to make strawberry jam. How many pounds of strawberries did they pick​

Answers

students picked 9 pounds of strawberries.

Answer:

9 pounds

Step-by-step explanation:

I converted it

Plz help ASAP I BEEN ASKING SO MANY TIME BUT NOBODY HELP ME HELPP. Plz i been on this for 3 hours

Answers

Answer:

b, d, and e

Step-by-step explanation:

those are the three answers

Answer:

I would say b d and e to

Step-by-step explanation:

hope that helps

find the length of side AB

Answers

Answer:

AB= 9.19 km (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT

Answers

Answer:

[tex] f(-1) =\boxed{-11}\\ f(0) =\boxed{-4}\\f(2) =\boxed{14}[/tex]

Step-by-step explanation:

[tex]f(x)=\begin{cases} 9x -2 \:\: x < 0\\ 9x-4 \:\: x \geq 0\end{cases}\\\\\because \; -1 \: is \: less\: than \: zero\\\therefore f(-1) \: lies \: in \: the \: interval\: x<0\\\\f(-1) = 9(-1) -2 = -9-2 = -11\\f(-1)=\boxed{-11}\\\\Similarly,\: f(0) \:\&\: f(2)\: lies \: in \: the \: interval\: x\geq 0\\\\f(0) = 9x-4 = 9(0) - 4 = 0-4 = -4\\f(0) = \boxed{-4}\\\\f(2)=9x-4 = 9(2)-4 = 18-4 = 14\\\\f(2)=\boxed{14}[/tex]

What is the answer
7(2m+5)​

Answers

Answer:

14m+35 is your answer ☺️☺️☺️

Answer:

14m+35

Step-by-step explanation:

7(2m+5)

7(2m)+7(5)

14m+35

X+ 10 = 7
what is the solution to this question

Answers

Answer:=−3

Step-by-step explanation:

+10=7

+10−10=7−10

the solution is x= -3

Let f(x)= 6/-2+2e^-0.3x
What is f(-1)?

Answers

Answer:

1.3

Step-by-step explanation:

Pleaseeeeeeeee someone help me..

Answers

Answer:

The answer would be C/third option

Step-by-step explanation:

To find volume you have to do LxWxH which is shown in the third option

Answer: the answer is c you multiply length times width times height

Step-by-step explanation:

Find the value of x in the figure below

Answers

Answer:

Step-by-step explanation:

x = 1.0

how:

we know that the Hyp of the small triangle is  [tex]\sqrt{2}[/tex]

since we know that ,  then  

[tex]\sqrt{2}[/tex] = 1^2 + 1^2   by  Pythagoras theorem

so each side is 1  :)

Find the 12th term of the geometric sequence 4, 8, 16, ...

Answers

Answer:

2^(n+1)

1st term ----> n=1 = 2^(1+1)  = 2^2 =4

2nd term ----> n=2 = 2^(2+1)  = 2^3 =8

3rd term ----> n=3 = 2^(3+1)  = 2^4 =16

like this,

12th term ----> n=12 = 2^(12+1)  = 2^13 =8192

Step-by-step explanation:

Question 9 of 10
Why do sex-linked traits follow different patterns of inheritance than other
traits?
A. Males and females have different sex chromosomes.
B. Males have two X chromosomes, and females only have one.
C. Females can have a recessive trait with only one recessive allele.
D. Females do not carry alleles for sex-linked traits.
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

Males have XY sex chromosomes while females have XX sex chromosomes.

the answer for this question is “A”

solve the equestion 6x=12

Answers

Answer:

x=2

Step-by-step explanation:

6x=12

divide both sides by 6

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