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77julia77 [94]
3 years ago
15

How do I work out the volume of a prism

Mathematics
1 answer:
sdas [7]3 years ago
6 0
Volume of triangular prism = area of triangle × length
volume of 'L'-shaped prism = area of 'L'-shape × length
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Can any of you guys help me?
kozerog [31]
C it makes the most sense
4 0
2 years ago
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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour. Jonah wants to use all of his flour to make as m
S_A_V [24]

Answer:

4 1/2

Step-by-step explanation:

8 0
3 years ago
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Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
arlik [135]

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (3, 8 ) into the partial equation

8 = 9 + c ⇒ c = 8 - 9 = - 1

y = 3x - 1 ← equation of parallel line

6 0
3 years ago
What is the domain of the function shown in the
Taya2010 [7]

Answer:

{x | x = -5, -3, 1, 2, 6}

Step-by-step explanation:

In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.

In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

{x | x = -5, -3, 1, 2, 6}

4 0
3 years ago
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