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djverab [1.8K]
3 years ago
14

Volume of triangle prism 25 *** very easy

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Answer:

225 cm³

Step-by-step explanation:

Area of cross-section × length = Volume of a triangular prism

Area of cross-section is the area of the triangle section.

Area of cross section:

5 × 6 × 0.5

30 × 0.5

= 15

Calculate volume:

15 × length

15 × 15

= 225

MaRussiya [10]3 years ago
3 0

Answer:

V=450cm^3

Step-by-step explanation:

l=15cm

w=6cm

h= 5cm

V=lxwxh

V= 15cmx6cmx5cm

V=90cm^2x5cm

V=450cm^3

Hope this helps ❤❤❤❤

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Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun
adelina 88 [10]

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

so 320 is the mileage for the first car. Repeat the steps for the silver car!

(14/14)*10=10

so then: (504/14)*10= 360.

So which is bigger, 320 or 360?

360 is bigger, meaning it has better gas mileage.

5 0
2 years ago
In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini
svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2

The augmented matrix is

\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]

The reduction of this matrix to row-echelon form is outlined below.

R_2\rightarrow R_2-R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]

R_3\rightarrow R_3-2R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]

R_3\rightarrow R_3-R_2

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]

The last row determines, if there are solutions or not. To be consistent, we must have k such that

k^2-k-2=0

\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2

Case k = −1:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]

This gives the infinite many solution.

5 0
3 years ago
24=9x+4-4x <br> Solve equation. Check your answer.
sammy [17]

Answer:

x=4. Verified, Not wrong.

Step-by-step explanation:

24=9x+4-4x

24 = 5x+4

20-4

5x=20

(divide)

x=4

5 0
2 years ago
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erastova [34]

Answer:

Step-by-step explanation:

0

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2 years ago
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If a something with the value of $179,000 dollars decreased in value annually by 3% you would show this by setting a graph or depiction of the drop. You could do this with a line graph to show the slow decrease in value or a bar graph to show how the value is getting smaller
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