What is the volume of the right triangular prism?( please input your answer as a number without a unit.)

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

I hope this helps you

V=Base Area×Height

V=4.8/2×12

V=16×12

V=196

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IF a= 6 and b= 7, then 4a(3b+5) + 2b =?

lukranit [14]

Answer:

Step-by-step explanation:

4a(3b+5)+2b

Substitution

4(6)[3(7)+5]+2(7)

Order of operations (PEMDAS)

4(6)[21+5]+2(7)

4(6)+26+2(7)

24+26+14

50+14

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

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Xelga [282]

Are you sure you wrote it right because it should be -42.99

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Natasha2012 [34]

Hope this isn't too confusing

All of the numbers have different shortcuts.
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3 years ago

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Aleks [24]

Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
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Alisiya [41]

Answer:

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