1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
2 years ago
5

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of

the red prism is one third that of the blue prism. Which statement is true?
Mathematics
2 answers:
Inessa [10]2 years ago
8 0

Answer:

D

Step-by-step explanation:

valina [46]2 years ago
5 0

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

You might be interested in
Evaluate: 5^-2 =<br> O A. 10<br> O B. 25<br> O c. -10<br> O D. -25
Tomtit [17]

Answer:

It should be 1/25

Step-by-step explanation:

If you only have those answers then answer D

6 0
3 years ago
OMG PLS HELP ME!!!!!! I NEED THIS ASAP!!! 100 PTS!!!!!!!<br><br> (its in the pic)
Rainbow [258]

By algebra properties we find the following relationships between each pair of algebraic expressions:

  1. First equation: Case 4
  2. Second equation: Case 1
  3. Third equation: Case 2
  4. Fourth equation: Case 5
  5. Fifth equation: Case 3

<h3>How to determine pairs of equivalent equations</h3>

In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:

First equation

(7 - 2 · x) + (3 · x - 11)

(7 - 11) + (- 2 · x + 3 · x)

- 4 + (- 2 + 3) · x

- 4 + (1) · x

- 4 + (5 - 4) · x

- 4 - 4 · x + 5 · x

- 4 · (x + 1) + 5 · x → Case 4

Second equation

- 7 + 6 · x - 4 · x + 3

(6 · x - 4 · x) + (- 7 + 3)

(6 - 4) · x - 4

2 · x - 4

2 · (x - 2) → Case 1

Third equation

9 · x - 2 · (3 · x - 3)

9 · x - 6 · x + 6

3 · x + 6

(2 + 1) · x + (14 - 8)

[1 - (- 2)] · x + (14 - 8)

(x + 14) - (8 - 2 · x) → Case 2

Fourth equation

- 3 · x + 6 + 4 · x

x + 6

(5 - 4) · x + (7 - 1)

(7 + 5 · x) + (- 4 · x - 1) → Case 5

Fifth equation

- 2 · x + 9 + 5 · x  + 6

3 · x + 15

3 · (x + 5) → Case 3

To learn more on algebraic equations: brainly.com/question/24875240

#SPJ1

5 0
1 year ago
Which ordered pair will solve the equation 2 × 4 + x = y?
Bezzdna [24]
This answer uses NMF, which you can find out about on my profile:

Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y

x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y

x = 4:
8+4 = 12
12 = 12
12 = y

Therefore, the pair is (4, 12)
5 0
3 years ago
What is 120.571 in expanded form?
borishaifa [10]
The expanded form would be 100.000 +20.000+0.000+.500+.070+.001
5 0
3 years ago
Read 2 more answers
Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x
iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

6 0
2 years ago
Other questions:
  • Whats the answer then
    8·1 answer
  • What does it mean for the findings of a statistical analysis of data to be statistically​ significant?Choose the correct answer
    12·1 answer
  • Three consecutive even integers have a sum 78
    15·1 answer
  • At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-g
    15·1 answer
  • Everyone FREEE POINTSSSSSSSSS
    13·2 answers
  • Simpson is solving the systems of equations below by substitution. Show Mr. Simpsons first step if he substitutes the first equa
    5·1 answer
  • Calculate the area in square metres for a triangle with a base 16.6 m long and a perpendicular height of
    9·1 answer
  • I need the answer for the screenshot
    15·2 answers
  • A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the
    6·1 answer
  • Find the missing angle of a triangle with 60 degrees and 40 degrees
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!