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White raven [17]
4 years ago
7

What is the volume of this right triangular prism?

Mathematics
2 answers:
Drupady [299]4 years ago
7 0
The volume =0.5* Length * width * height
                     = 0.5* 7 *4* 10.3 =144.2 cm3
Dominik [7]4 years ago
3 0

The volume of the given right triangular prism can be found by first calculating the area of the right triangle and then multiplying it with the length of the prism.

Let us find the area of the right triangle. As can be seen from the diagram the height, h of the right triangle is 7 cm and the base, b of the right triangle is 4 cm.

Therefore, the area of the triangle is:

Area=\frac{1}{2}\times b\times h=\frac{1}{2}\times 4\times 7=14 cm^2

Thus, the volume of the right triangular prism will be:

Volume=Area x Length of the prism

Volume=14\times 10.3=144.2 cm^3

Thus, out of the given options, option A is the correct option.

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Express the vector (4,-6) in terms of the standard unit vectors i and j
Aliun [14]
Four, -6 in terms of standard unit factors I NJ makes no sense
8 0
3 years ago
Help!!! Quick!!! Plzzzzz!!!
max2010maxim [7]

Answer:

x = -8

y = 9

Step-by-step explanation:

to solve this expression using simultaneous equation, we would say let

y =9............................................. equation 1

 6x + 5y =-3............................................equation 2

substitute equation 1 into equation 2

-3 = 6x + 5y............................................equation 2

6x + 5(9) = -3

6x + 45 = -3

collect the like terms

6x = -3-45

6x = -48

divide both sides by the coefficient of x which is 6

6x/6 = -48/6

x = -8

therefore y = 9

x = -8

4 0
4 years ago
In a sample with m = 40 and s = 8, what is the z-score corresponding to x = 38?
Alika [10]
Z = (x - m)/s
z = (38-40)/8
z = -2/8
z = -1/4
z = -0.25

The z score is -0.25
7 0
3 years ago
Read 2 more answers
What is the solution to this equation?
Diano4ka-milaya [45]

Answer:

C. x=13

Step-by-step explanation:

add the 13 to the -4 and you will get your 9

5 0
3 years ago
Read 2 more answers
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
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