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Anastasy [175]
3 years ago
15

A triangular prism has a volume of 10mm^3. The formula for finding the volume of a triangular prism is V = B × h. What is the he

ight of the prism?

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

2.22mm

Step-by-step explanation:

Volume of the prism= 10mm^3

Base area= 3 X 1.5mm

                =4.5mm

if V= b X h

10= 4.5h

h= 10/4.5

=2.22mm



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The answer is infinitely many solutions because 0 = 0.

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first lets do the math on the left side.

4b - 4b  is equal to 0.

so lets put 0 on the left side, now lets look at the equation all together,

0 = 0,

and this means that it has infinitely many solutions.

The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.

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A jar contains quarters (worth $\$0.25$ each), nickels (worth $\$0.05$ each) and pennies (worth $\$0.01$ each). The value of the
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Answer:It doesn't make sense when I try to do it,I even tried a calculator

Step-by-step explanation: IDK?

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)) What is 2.825 rounded to the nearest whole number?
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(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

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