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Marysya12 [62]
3 years ago
12

The prism shown has a volume of 35 cm^3

Mathematics
1 answer:
artcher [175]3 years ago
7 0

Answer:

Height = 2.5

Step-by-step explanation:

Given

Volume = 35

Length =7

Base=4 cm

Required

Determine the height

The volume is calculated as:

Volume = Height * Base\ Area

Since, it has a triangular cross-section, the expression becomes:

Volume = Height * \frac{1}{2} * Base * Length

So, we have:

35 = Height * \frac{1}{2} * 4 * 7

35 = Height * 14

Height = 35/14

Height = 2.5

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\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}

(x + y) ^2 = 105

x^2 + 2xy + y^2 = 105

x^2 + y^2  + 2xy = 105


\text{Given that } x^2 + y^2 = 65,

65 + 2xy = 105

2xy = 105 - 65

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xy = 20

\boxed { \boxed {\text{Answer: xy = 20}}}
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A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
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Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

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Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

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Lets check our work:
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Hope this helps!



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