Mathematics High School

Two rectangular prisms have the same volume. The area of the base, B, of the blue prism is 418 square units. The area of the base, B, of the red prism is half that of the blue prism. Which statement is true? A rectangular prism with side length h. B = 4 and one-eighth square units. The base of the prism. B = one-half times (4 and one-eighth square units).

Answers

Answer 1

Answer:

The height of the blue prism is half the height of the red prism

Step-by-step explanation:

Represent the volume of the blue prism with Vb and the red prism with Vr

So, we have:

[tex]V_r = V_b[/tex]

[tex]A_b = 418[/tex] --- base area of the blue

[tex]A_r = \frac{1}{2}A_b[/tex] --- base area of the red

Required

Determine which statement about the heights of the prisms is true

Volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

For the blue prism:

[tex]V_b = A_b * h_b[/tex]

For the red prism

[tex]V_r = A_r * h_r[/tex]

Equate both volumes

[tex]V_r = V_b[/tex]

[tex]A_r * h_r = A_b * h_b[/tex]

Substitute the expression for [tex]A_r[/tex]

[tex]\frac{1}{2}A_b * h_r = A_b * h_b[/tex]

Divide both sides by [tex]A_b[/tex]

[tex]\frac{1}{2} h_r = h_b[/tex]

This implies that the height of the blue prism is half the height of the red prism

Related Questions

what is the stretch factor for the equation of the graph in part (c) of problem 8-45? write the exact equation of the function

Answers

45 I think, it’s 45,

Andrew buys a laptop for $450. The store increases its purchase price by 40%? What is the new price of the laptop?

Answers

Answer:

630

Step-by-step explanation:

450 x 0.4 = 180

180 + 450 = 630

You can also do 450 x 1.4 = 630 because this will find the increased price with 140% of 450

A dinner is served at a wildlife fundraiser. The constant relationship between the number of people served at dinner n and the number of ounces of chicken used c is shown in the table below. Which equation can be used to represent the situation?

n 6 50 150
c 24 200 600
Select one:

n=4c

c=4n

c=6n

n=6c
help me!!

Answers

Answer:

C=4n

im sure this is the correct one

I am not very sure but I would say b

HURRYYY!!!!!
What is the measure of angle A?

Answers

Answer:

Angle A is 59.5 degrees

Step-by-step explanation:

i got you!

Answer:

∠ A ≈ 59.5°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{56}{65}[/tex], then

A = [tex]sin^{-1}[/tex] ( [tex]\frac{56}{65}[/tex] ) ≈ 59.5° ( to 1 dec. place )

Enter the value of n so that the expression (5y - 2.3) + (-2y -4.3)
is equivalent to (3y-n).

Answers

Answer:

Step-by-step explanation:

(5y - 2.3) + (-2y - 4.3) = 3y - n Remove the brackets

5y - 2.3 - 2y - 4.3 = 3y - n Combine like terms

3y - 6.6 = 3y - n Subtract 3y from both sidess

- 6.6 = - n Divide by - 1

6.6 = n

63,49,27,40,11,99,87,23,95,41 prime or composite please answer my question please help me I will give a mark breanlist please help me please I will give another points 50 points please!!!!!!!!!!?

Answers

Answer:

63 composite

Step-by-step explanation:

it is composite

33s^5t^4u^8 ÷ 11st^3u^8

Answers

Answer:

[tex]3s^{4}t\\[/tex]

Step-by-step explanation:

Solve the following system of equations using the substitution method.
The problem- y= -2x+11
3x + y = 18

Answers

Answer:

x = 7

y = -3

Step-by-step explanation:

the first equation is already solved for 'y' so we can substitute '-2x+11' for 'y' in second equation

3x + (-2x + 11) = 18

x + 11 = 18

x = 7

solve for 'y'

y = -2(7) + 11

y = -14 + 11

y = -3

Elyssa works as an assistant coach. She earns $10.95 per hour. How much will she get
paid if she works 7.5 hours next week?

Answers

Answer:

82.125

≈82.12 ( am not sure if it need to be estimated )

Step-by-step explanation:

1 hr -> 10.95

30m-> 5.475

10.95x7=76.65

76.65+5.475=82.125

≈82.12 ( am not sure if it need to be estimated )

Alright last question this time 30 points gooo

Answers

Answer:10

Step-by-step explanation:

2+3+2+3

C=0.4(285.7)+100

(No answer choices)

Answers

Answer:

c=214.28

plz mark as brainliest

Step-by-step explanation:

Answer:

C=0.4(285.7)+100

Step-by-step explanation:

C=0.4(285.7)+100

C= 114.28 + 100

C= 214.28

What is the measurement of angle B*
A
112
с
51

Answers

A? The angle is 197° and the measurement for c seems too short while the measurement for A is longer and seems like the same measurement as B

355+480 is the same as 335+ ?

Answers

Answer:

355+480 is the same as 335+500

Step-by-step explanation:

355+480=835

835-335=500

∴355+480 is the same as 335+500

Which symbol goes in the box to make this number sentence true?
6x _x + x +
+x+x

Answers

Answer:

The right answer is = so C ig

What is the value of x?
Enter

X :

(Look at the photo)

Answers

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

The quotient of a number and 6 decreased by 10 is equal to 2.

Answers

Answer:

Step-by-step explanation:

x+6-10=2

x+6=12

x=12-6

x=6

hence the number is 6

(x/6)-10=2

The word “quotient” indicates division.

Y=43,what type of line is this?what is its slope?

Answers

Answer:

y=43 is a horizontal line that has a slope of 0

Step-by-step explanation:

help its so confusing

Answers

i’m guessing 120° LOL. the only other answer would be 60° but i think it’s 120

find the distance between (2, -2) and (0, -2)

Answers

Answer:

y= -2

x= 0

Explanation

0 - 2 = -2

-2 - (-2) = 0

Answer:

I believe the answer you're looking for is 2

Step-by-step explanation:

Which is the correct factoring and solutions?

2h² + 11h + 5 = 0

Show your work or not.

Answers

Step-by-step explanation:

your answer would be the second light blue one

(2h+1)(h+3) x=-1/2,-5

Find the product. - mnp (3 m - 5 n + 7 p ) -3 m2np + 5 mn2p - 7 mnp2 -3 mnp + 5 mnp - 7 mnp -3 m + 5 n2+ 7 p2 3 mnp - 5 mnp + 7 mnp

Answers

Answer:

9mnp

Step-by-step explanation:

Answer:

It's 3m - 5n + 7p lol

What number comes after quintillion?

Answers

Answer:

1 quintillion and 1.

Step-by-step explanation:

This is the number written out:

1000000000000000001

HELP ME PLZ, I WILL U GIVE U 20 POINTS AND I WILL MARK U BARINLIEST! PLZ WORK THE ANSWER OUT PLZZZZ <3

Answers

Answer:

Q5) 7

Q6) 4

PLEASE MARK ME AS BRAINLIEST I REALLY REALLY NEED IT PLEASEEEEEEEEEEEEE <3

Step-by-step explanation:

Answer:

Q5) x = 7

Q6) Amy is 4 years old right now

Step-by-step explanation:

Q5)

3(x+2) = 27

3x+6 = 27

subtract 6 from both sides

3x = 21

divide both sides by 3

x = 7

Q6)

P = Patel's age now

A = Amy's age now

P = A+5

P+1 = 2(A+1)

substitute for P

(A+5)+1 = 2(A+1)

reduce

A+6 = 2A+2

subtract (1)A and 2 from each side

A = 4

check:

P=A+5 = 9

9+1 = 2(4+1)

10 = 10

(On right polynomial) help find equivalent (Left equivalent expressions)

Answers

Answer:

Step-by-step explanation:

Extra points to anyone who helps

Answers

The answer is d stay strong you can do this

Please help me with this

Answers

Answer:

Step-by-step explanation:

I think d :O if wrong sorry

✨BRAINLIEST IF YOUR RIGHT✨

Answers

Answer:

a) 1cm

b) 2cm and 3 cm

c) the next set of blocks that would be added would be 4 and 10 cm

d) well each block is a centimeter each time you add a block it adds a centimeter.

e) well since we have ten we would put another 4 cm of bocks to make 14 squares

Step-by-step explanation:

At a chemical factory, the basic week is 40 hours, during a particular week Mr. James earned a gross wage of $518.00, but $148,00 was for overtime. Calculate Mr. James' basic rate of payment

Answers

Answer:

his basic wage is 370 dollars since 148 is for overtime. Just subtract from the gross wage, and that is your answer.

Step-by-step explanation:

can anyone help me solve this equation?

Answers

Answer:

Step-by-step explanation:

y=-3/5x+3, (2,-4)

-4=-3/5(2)+b

b=-14/5

y=-3/5x-14/5

The diameter of a circle is 6 ft. Find its area to the nearest tenth.

Answers

The diameter of a circle is 6 ft. Find its area to the nearest tenth.28.274ft²Steps:

Formulas:

A= πr²

d= 2r

Solving:

A=14πd²=14·π·6²≈28.27433ft²

Hope I helped. :)

- Valenteer

(Please mark me as brainliest if this helped, that would be beneficial!)

(Thx for the points!)

Other Questions

Sequence the forensic history events in chronological order.British sees the publication of the firstforensic textbook.Italian authorities legalize autopsiesfor crime investigations.The ancient Romans perform an autopsyof Julius Caesar's body. If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c? How does Buddhism differ from Hinduism? List 3 differences.Just list them no explanation! The complement of an angle is 25. What is the measure of the angle?Group of answer choices6575155165 Kylie is planning a ski trip. The equation C = 470 +299 models the relation between the cost in dollars, C, of the ski trip and the number of skiers, lista de diez objetos q encuentres en tu hogar que sean metales,no metales,y metaloides ASAP!!!!!!!!!!!!What are the learning goals of early learners ages 3-5 in the area of math? Lui ? C'est l'homme je vous ai parle hier.quequidontqu' 1) For this essay, you have been told to maintain a formal tone. Which of these would NOT constitute an appropriate introductory sentence? A) Everyone agrees that the Concorde was a really cool airplane. B) The Concorde was an incredible plane which became an international sensation. C) The Concorde phenomenon is unprecedented in the history of airline technology. D The Concorde was a plane that could fly from Paris to New York in less than four hours. 2) Which two sentences would NOT be acceptable to include in this essay, which is meant to be composed in a formal tone? Which situation best illustrates the concept of division of labor?A. A business asks different employees to master different skills.B. A business prefers to hire employees who are self-sufficient.C. A business trains its employees in the new skills they will need.D. A business requires all employees to do many different jobs. Which is the equation of a line perpendicular to y = 5x 3? Which statement accurately describes the relief, recovery, and reform measures of president franklin Roosevelt's new deal? To start a board game the player who rose to sixes gets to go first what is the probability that a buyer will roll to number cubes and get to sixes List the 2 reasons economist favor the price system can someone help me with this? What type of Star is this? what's the meaning of . Sa komunikasyon mahalag Ang unang impression ?? A nonconducting thin layer carries charge with a uniform density of 8.95 C/cm2.(a) What is the electric field 7.55 cm in front of the wall if 7.55 cm is small compared with the dimensions of the wall?magnitude___ N/Cdirection (away from or towards the wall)(b) Does your result change as the distance from the wall varies? (Assume that the distance from the wall is small compared to the width and height of the wall.)yes or no(c*) The nonconducting wall is replaced with a thick conducting wall with the same surface charge density on the right side of the conducting wall as was on the thin insulating layer. What is the electric field 7.55 cm in front of (just outside) the conducting wall if 7.55 cm is small compared with the dimensions of the wall?magnitude ________N/Cdirection? (away from or towards the wall) PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((. 4 cm What is the volume of this prism? 6 cm 10 cm