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
Molodets [167]
2 years ago
6

Belinda builds a rectangular prism that is 2 cubes​ long, 3 cubes​ wide, and 2 cubes tall. Each dimension of​ April's rectangula

r prism is twice as many cubes as​ Belinda's prism. What is the volume of​ April's prism? Use an equation to show your work.
Mathematics
1 answer:
zepelin [54]2 years ago
4 0

Answer:

96 cubes vol.

Step-by-step explanation:

the volume of Belinda's prism =

2×3×2 = 12 cubes vol.

Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.

the volume of April's prism =

(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.

so,

the volume of April's prism = (2)³ times the volume of Belinda's prism

You might be interested in
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​
Roman55 [17]

Answer:

75

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

<u>Step 1: Set up</u>

75 + 120 + 90 + ∠4 = 360

<u>Step 2: Solve</u>

  1. Add:                                                                                                                   285 + ∠4 = 360
  2. [Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75
5 0
2 years ago
Which table represents a linear function?
GalinKa [24]

Answer:

The top right option.

Step-by-step explanation:

3 0
2 years ago
Will give brainliest please help <br><br>-5x+4-x-1​
Serjik [45]

Answer:

− 6 x  +  3

Step-by-step explanation:

hope that helps :)

3 0
2 years ago
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Olegator [25]

Answer:

Sydney is 44 years old

Step-by-step explanation:

<u>Step 1:  Make a system of equations </u>

d = s - 15

<em>d + s = 73 </em>

<u>Step 2:  Plug in s - 15 for d in the second equation and solve </u>

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

<em>s = 44 </em>

Answer:  Sydney is 44 years old

6 0
3 years ago
Read 2 more answers
Other questions:
  • Graph. y-2=2/3(x+4).
    13·1 answer
  • Find parametric and symmetric equations of the line through the point (2,1,0) and perpendicular to the plane 5x-3y + 4z = 15
    5·1 answer
  • 7045 ÷ 15 is what? i can't do it
    8·2 answers
  • How can elimination and substitution adapt to solve a system with nonlinear equations
    13·1 answer
  • Suppose five people are in a room. What is the probability that there is at least one shared birthday among these five people?
    7·1 answer
  • Graph y = −x^2 − 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
    13·1 answer
  • Solve the equation 2(x-10)= 24 , what is the value of x
    13·2 answers
  • 16. What is the value of 2 1/8x4 3/4
    14·1 answer
  • Lin’s father is paying for a meal that originally costs $20. He has a 30%-off coupon for the meal. After the discount, a 7% sale
    10·1 answer
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!