Find the volume of the triangular prism below 5mm 12mm 3mm

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

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Simplify 8 over negative 4 divided by negative 3 over 9. 6 −6 12 −12

skelet666 [1.2K]

Answer:

Step-by-step explanation:

Given

$\frac{8}{-4} / \frac{-3}{9}$

Required

Solve

$\frac{8}{-4} / \frac{-3}{9}$

We start by converting the division sign to multiplication

$\frac{8}{-4} / \frac{-3}{9} =\frac{8}{-4} * \frac{-9}{3}$

Then, we divide -9 by 3

$\frac{8}{-4} / \frac{-3}{9}=\frac{8}{-4} * -3$

Then, we divide 8 by -4

$\frac{8}{-4} / \frac{-3}{9}=-2 * -3$

Multiply -2 and -3 to give final result

$\frac{8}{-4} / \frac{-3}{9} = 6$

Hence, $\frac{8}{-4} / \frac{-3}{9}$ is equivalent to 6

4 0

3 years ago

|5x|+5=45<br><br> can you explain this absloute value equation <br> i have a midterm

Ymorist [56]

So first, you get the absolute value to one side:
$|5x|+5=45\\
|5x|=40$

Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
$|5x|=40\\5x=40\\x=\frac{40}{5}=8\\\\-5x=40\\x=\frac{40}{-5}=-8$

Your answers are 8 and -8, or +-8.

8 0

3 years ago

Read 2 more answers

Use the quadratic formula to find the solutions to the quadratic equation below x^2-6x-5=0

Sonja [21]

Answer:

$\large\boxed{x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}}$

Step-by-step explanation:

$x^2-6x-5=0\qquad\text{add 5 to both sides}\\\\x^2-6x=5\\\\x^2-2(x)(3)=5\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2-2(x)(3)+3^2=5+3^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-3)^2=5+9\\\\(x-3)^2=14\to x-3=\pm\sqrt{14}\qquad\text{add 3 to both sides}\\\\x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}$