One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3

Answers

Answer 1

Answer:

128.25 cm³

Step-by-step explanation:

Volume of an hexagonal prism:

The volume of an hexagonal prism is given by:

[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]

In which a and h are the dimensions.

Triple the dimensions

This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).

If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

27*4.75 = 128.25 cm³

128.25 cm³ is the answer

Answer 2

Answer:

128.25 cm3

Step-by-step explanation:


Related Questions

Evan said that this shape is a rhombus. Joel said that it is a trapezoid. Who is correct? Tell how you know.

Answers

Answer:

Evan is Correct.

Step-by-step explanation:

This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.

Heeeeeeeeeeeeeeeeeeeeeeeeeeelp!

Answers

Answer:

Canvas thing

Step-by-step explanation:

PUT MORE EXPLANATION!

Which expression is a trinomial?

Answers

Answer:

Ans is 2 x square + 2x - 4 because the sign in this ans contains +, -  divided into three part. which is trinomial

plz rate 5 star + thanks i need 1 brainliest to reach in expert

PLEASE HELP!!!! I WILL GIVE 50 POINTS!!!
IT IS THE DOCUMENT BELOW PLEASE

Answers

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

HELP IM LATE ON THIS! I WAS SUPPOSED TO DO IT YESTERDAY BUT IT WAS RAINING AND MY POWER WENT OUT!

Answers

Answer: 1/3 quart

Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.

1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The total fare was $40.20, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Equation:
Answer: xx =

Answers

equation:3.25x+1.2=40.2

ansrew:x=12

Expand and Simplify 4(g + 5) + 3(g – 2)

Answers

The solution is 7g+14

if 3+3 = 9 then 2+2 = what?

Answers

Answer:

4

Step-by-step explanation:

3+3 is not 9, but 3x3 is.

So 2+2 is 4

--

hope it helps

Answer:

4 or 6 so sorry if im wrong

Use the isosceles trapezoid below to
answer the following questions.
N
P
M
Q

Answers

Answer:

a,  yes

b no

c yes

d no

Step-by-step explanation:

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.

Answers

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

Help me out pls and thanksssss

Answers

The second one i thing bro

Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.

Answers

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4

Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?

Answers

Answer:

$13,537.79

Step-by-step explanation:

The future value of the account after 5 years will be 762 dollars.

What is compound interest ?

Compound interest is calculated for the principle borrowed as well as previous interest accumulated.

According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.

Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.

We know the formula for Amount(A) compounded quarterly is

A = P[ 1 + (r/4)/100)]⁴ⁿ.

A = 600[ 1 + (5/4)/100]⁴ⁿ.

A = 600[ 1 + 1.2/100]⁴ˣ⁵

A = 600[ 1 + 0.012]²⁰.

A = 600[ 1.012]²⁰.

A = 600(1.27).

A = 762 dollars.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

11X - 3/6 = 5 Solve for X

Answers

Answer:

X = 1/2

Step-by-step explanation:

Brian had 42 class fare tickets to sell he sold 5/6 of the tickets. How many tickets did Brian and sell.​

Answers

Answer:

35

Step-by-step explanation:

Find the volume of a cylinder with a radius of 6cm and height of 8cm

Answers

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Please please i need help

Answers

The answer is the last option which is 9^6.... l hope it helped?
9^6 i think the answer is the 9^6


24.
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches. Find the length of the
second leg.

Answers

Answer:

7.48 in.

Step-by-step explanation:

Given :-

One leg of a right triangle is 5 inches. The hypotenuse is 9 inches.

And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,

[tex]:\implies[/tex] + =

[tex]:\implies[/tex] 5² + = 9²

[tex]:\implies[/tex] 25 + = 81

[tex]:\implies[/tex] = 81 -25

[tex]:\implies[/tex] = 56

[tex]:\implies[/tex] b = 7.48 in

Hence the measurement of second leg is 7.48 inches .

A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Required:
a. Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
b. Determine the p value.

Answers

Answer:

a) The test statistic is [tex]z = -2.51[/tex]

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

[tex]H_a: p_{B} - p_{NY} < 0[/tex]

While the null hypothesis is:

[tex]H_0: p_{B} - p_{NY} = 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Standard error = 0.1

This means that [tex]s = 0.1[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.251 - 0}{0.1}[/tex]

[tex]z = -2.51[/tex]

The test statistic is [tex]z = -2.51[/tex]

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

Type the data that you collected (shown right) into the regression calculator. Be sure to choose a good window setting! The data show that the population of lily pads has growth rate.

Answers

The next answer is "an exponential."

Step-by-step explanation: The answers after that are 3.195 and 1.106

Answer: first part: an increasing

Second part: An exponential

Third part: 3.915, 1.106

Step-by-step explanation: i just did it

4 3/12 + 1 4/12 = (make sure you simplify the fraction)

Answers

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

4 3/12 + 1 4/12

First add the fractions:
Because they have the same denominator, you won’t have to change anything.

Add the numerators:
3+4= 7 So... 7/12

Now the whole numbers:
1+4=5

Put the two together:
5+7/12= 5 7/12

Answer: 5 7/12


I need help! Please no link answer :(

Answers

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

What is the value of the interior angle

Answers

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3

Answers

Answer:

the angle between u=(8, -2) and v=(9,3) is 32.5°

Step-by-step explanation:

u=(8,-2)=(u1,u2)→u1=8, u2=-2

v=(9,3)=(v1,v2)→v1=9, v2=3

We can find the angle between two vectors using the formula of dot product:

u . v =║u║║v║cos α   (1)

And the dot product is:

u . v = u1 v1 + u2 v2

u . v = (8)(9)+(-2)(3)

u . v = 72-6

u . v = 66

║u║=√(u1²+u2²)

║u║=√((8)²+(-2)²)

║u║=√(64+4)

║u║=√(68)

║u║=√((4)(17))

║u║=√(4)√(17)

║u║=2√(17)

║v║=√(v1²+v2²)

║v║=√((9)²+(3)²)

║v║=√(81+9)

║v║=√(90)

║v║=√((9)(10))

║v║=√(9)√(10)

║v║=3√(10)

Replacing the known values in the formula of dot product (1):

u . v =║u║║v║cos α

66 = 2√(17) 3√(10) cos α

Multiplying:

66 = 6√((17)(10)) cos α

66 = 6√(170) cos α

Solving first for cos α: Dividing both sides of the equation by 6√(170):

Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:

(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170

cosα=11/13.03840481→cosα=0.84366149

]

If test scores of 65 and 75 were added to the set, what would happen to the mean of 75,95,90,95,60,95,75,95,90

Answers

Answer:

82.7

Step-by-step explanation:

Answer: the answer is that the mean would become smaller.

Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.

Hope this helps! Please give brainliest ;)

Drag the fraction to the boxes and below to complete the subtraction sentence

Answers

Answer:

first box is 4/5 and the second box (=) is 7/15

A telephone pole support cable attaches to the pole 24 feet high. If the cable is 30 feet long, how far from the bottom of the pole does the cable attach to the ground?
A. 54 ft.
B. 40 ft.
C. 38 ft.
D. 18 ft.

Answers

The answer to your question will be choice A

A cubical water tank is 1.2m high. how much water does it hold?​

Answers

Answer:

1728000cm^3

Step-by-step explanation:

100cm-1m

x-1.2m

cross multiply

x=120cm

v=lxbxh

=120^3=1728000cm^3

1. Write the equation of the line best fit

Answers

hmmmm interesting I really don’t know but

A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?

Answers

$433.91-$399 is = $34.91. the answer is $34.91

Answer:

34.91

Step-by-step explanation:

433.91

-

399.00

————

34.91

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