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3 years ago

Find the volume of the prism

Mathematics

1 answer:

lidiya [134]3 years ago

7 0

Answer:

v = 80 cubic unit

Step-by-step explanation:

volume = length × height × width

v = 5unit × 2unit × 8unit

v = 80 cubic unit

You might be interested in

Determine la ecuación general de la recta que pasa por los puntos (1,4); (- 2, - 5) y grafíquela.

Rudiy27

The equation of the line that passes through the points (1 , 4) and (-2, -5) is y = 3x + 1

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )} }$

Let us tackle the problem.

Let :

(1 , 4) → (x₁ , y₁)

(-2, -5) → (x₂ , y₂)

To find the straight line equation, the following formula can be used :

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

$\frac{y - 4}{-5 - 4} = \frac{x - 1}{-2 - 1}$

$\frac{y - 4}{-9} = \frac{x - 1}{-3}$

$\frac{y - 4}{3} = \frac{x - 1}{1}$

$y - 4 = 3 ( x - 1 )$

$y = 3x - 3 + 4$

$\large {\boxed {y = 3x + 1} }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

4 0

3 years ago

PLEASE HELP!!!!!!!!!!

Yuki888 [10]

Answer:

240

Step-by-step explanation:

4 kinds of crust along with 5 different meats, 4 different cheeses, and 3 vegetables for toppings

Combos = 4*5*4*3

=240

5 0

3 years ago

Solve the proportion t+4 / t-2 = 1/4

Lera25 [3.4K]

t+4 / t-2 = 1/4

t=-6 for your answer!

8 0

3 years ago

Type the correct equation of the line. (0, 1), (2, -3), (4, -7)

amid [387]

Answer:

1(2-3)(4-7)

(1)(-1)(4-7)

-1(4-7)

(-1)(-3)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If the height of a triangle

Dvinal [7]

Answer:

75 cm

Step-by-step explanation:

To find the area of a traingle you use the following equation

b*h*.5

We know that the height of the triange is three times the base and that the area is 937.5

This means that

b*3b*.5=937.5

We can combine this and get 1.5b^2=937.5

We can then divide by 1.5 to get b by itself

b^2=625

Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)

So we know that b=25 and that h=3b which means that the height is 75 cm

5 0

3 years ago