<h2>
Answer:</h2>
<h2>Given:
</h2>
<h2>
Step-by-step explanation:</h2>
In this problem, we need to find the value of the given expression for which we need to simplify the given expression.
We need to solve the numbers within the parentheses.
We can bring the constant one side and variables another side.
Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.
Since, we cannot solve the above equation further. The value of the given equation remains,
When you divide a whole number by something, you're asking:
"How many times can I put this thing
into the whole number ?"
If the thing is ' 1 ', then each time you put it into the whole number,
it takes up the space of ' 1 ', and you can do that exactly the same
whole number of times.
If the thing is more than ' 1 ', then each time you stuff it into the
whole number, it takes up the space of more than ' 1 ', so you
can't do that as many times as the whole number.
If the thing is less than ' 1 ', then each time you stuff it into the
whole number, it only takes up the space of less than ' 1 ', so
there'll be enough space in there to let you do that more than
the whole number of times.
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Another way to look at it:
When you divide a whole number by something, you're asking:
"How many times can I take this thing away from
the whole number?"
If the thing is ' 1 ', then each time you take it away from the
whole number, you take away exactly ' 1 ', and you can do that
exactly the same number of times as the whole number.
If the thing is more than ' 1 ', then each time you take it away from
the whole number, you take away more than ' 1 ', so you can't do
that as many times as the whole number.
If the thing is less than ' 1 ', then each time you you take it away
from the whole number, you only take away a piece of ' 1 ', so
you can do that more times than the whole number.
Answer:
A) 15 cm
B) 1240 cm²
Step-by-step explanation:
Part A: The height of the triangular base can be found a couple of ways. One is to use the Pythagorean theorem.
The triangular base is isosceles, so the height, half its base (8 cm) and the long edge (17 cm) form a right triangle. The height is then found from ...
17² = 8² + height²
289 -64 = height² . . . . . subtract 64
√225 = 15 = height . . . . take the square root
The height of the triangular base is 15 cm.
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Part B: The volume of a prism is given by ...
V = Bh
where B is the area of the base and h is the length ("heigh") of the prism. We can use this formula to find B, the area of each of the triangular bases of the prism.
2400 cm³ = B·(20 cm)
2400 cm³/(20 cm) = B = 120 cm² . . . . . area of one end of the prism
Now the lateral area of the prism is the product of its length (20 cm) and the perimeter of its base (17 cm + 17 cm + 16 cm). That area is ...
lateral area = (20 cm)(50 cm) = 1000 cm²
Together with the areas of the two ends, we find the total area of the cardboard box to be ...
total area = lateral area + 2×base area = 1000 cm² + 2×120 cm²
total area = 1240 cm²
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Note that you can also find the <em>height of the base triangle</em> from the base area.
A = (1/2)bh
120 cm² = (1/2)(16 cm)h
120 cm²/(8 cm) = <em>h = 15 cm</em>
Answer:
3 is the correct answer hope it helps
