Answer:
it is in the equation
Step-by-step explanation:
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
The unit rate is 120 calories per serving.
120 x 2 = 240
120 x 4 = 480
120 x 6 = 720
And so on..
I have attached the image showing the location of the three schools.
Answer:
Should be built at the centroid of the triangle formed by points A, B and C.
Step-by-step explanation:
From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.
Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.
The point that is equal to each vertex of a triangle is known as "Centroid".
Now, to find this centroid, we will add up the (x, y) coordinates of the 3 vertex and divide by 3.
For example;let's assume ;A has a coordinate of (x1, y1) ; B has a coordinate of (x2, y2) ; C has a coordinate of (x3, y3).
The coordinates of the centroid will be;
[(x1 + x2 + x3)/3], [(y1 + y2 + y3)/3]
Answer:
A
B
C
Step-by-step explanation:
Well the sides of the smaller squares have to be greater than the biggest when put together.
a + b > c
So we need to find the square root of 55.

≅ <u>7.4</u>
<u />
Now for option A)
srt ⇒ 12 ≅3.5
srt ⇒ 43 ≅ 6.6
3.5 + 6.6 = <u>10.1</u>
So option A is correct.
Option B)
srt ⇒ 14 ≅ 3.7
srt ⇒ 40 ≅ 6.3
3.7 + 6.3 = <u>10</u>
So option B is also correct.
Option C)
srt ⇒ 16 = 4
srt ⇒ 37 ≅ 6.1
4 + 6.1 = <u>10.1</u>
So option C is also correct.
<em>Therefore,</em>
<em>all options are correct.</em>
<em />
<em>Hope this helps :)</em>