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
Thepotemich [5.8K]
3 years ago
6

What is the volume of the triangular prism? A) 15 cm3 B) 18 cm3 C) 21 cm3 D) 24 cm3

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

See Explanation Below

Step-by-step explanation:

The image of the trianglular prism is missing.

However, I'll answer your question using the attachment below.

The volume of a triangular prism is calculated as follows.

V = ½lbh

Where l = length of the prism

b = base of the prism

h = height of the prism

V = volume of the prism.

From the attachment,

Length, l = 6 cm

Base, b = 3 cm

And Height, h = 4 cm

By substituting each of these values in the formula given above

V = ½lbh becomes

V = ½ * 6 * 3 * 4

V = 3 * 3 * 4

V = 36 cm³

If you follow these steps you'll get the volume of the trianglular prism as it is in your question.

You might be interested in
X^2-5x-6<br> X^2+3x-40<br> X^2+3x-4
luda_lava [24]

x² - 5x - 6

= x² + x - 6x - 6

= x(x + 1) - 6(x + 1)

= (x - 6) (x + 1)

x² + 3x - 40

= x² + 8x - 5x - 40

= x(x + 8) -5(x + 8)

= (x - 5) (x + 8)

x² + 3x - 4

= x² + 4x - x - 4

= x(x + 4) -1(x + 4)

= (x - 1) (x + 4)

4 0
3 years ago
A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :
serious [3.7K]
One of the options is $500+$500
7 0
3 years ago
Please help and thank you. ​
Marina CMI [18]

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0
3 years ago
A block is randomly selected out of a toy box. The probability of selecting a red block is 0.25. The probability of selecting a
Sonja [21]

Answer:

0.2

Step-by-step explanation:

Conditional probability:

P(A | B) = P(A & B) / P(B)

P(striped | red) = P(striped & red) / P(red)

P(striped | red) = 0.05 / 0.25

P(striped | red) = 0.2

4 0
3 years ago
Categorize each of the following equations as a linear equation in one variable or not.
prohojiy [21]

2x + 6 = 5
5x – 9 = 8x – 4
5x = 2y – 8
6b + 4 = 2
6 + 4 = 10
6 0
3 years ago
Other questions:
  • Gina paid $129 for a bicycle that was on sale for 75% of its original price. What was the original price of the bicycle
    14·1 answer
  • To do so, the research has 100 high school students complete the maze with classical music playing. The mean time for these stud
    12·1 answer
  • Please include how to solve this!! Thanks you!
    14·1 answer
  • Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5. Find the other leg of the triangle
    14·1 answer
  • What is 9:05 to 10:54
    12·1 answer
  • Assume a large vehicle holds 65 gallons of fuel and can travel 1119 miles on a full tank. What is the gas mileage per gallon? Ro
    11·1 answer
  • How many hours did the trip take?
    13·1 answer
  • Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at t
    9·1 answer
  • Find the equation of the line passing<br> through the points (2, 4) and (3,2).
    14·1 answer
  • 4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!