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Natasha_Volkova [10]
2 years ago
12

the surface area of two similar figures are 25 in ^2 and 36 in ^2 if the volume of the smaller figure is 250 in ^3 then what is

the volume of the larger figure?
Mathematics
1 answer:
k0ka [10]2 years ago
8 0

Answer:

432 in^3

Step-by-step explanation:

The ratio of linear dimensions is the square root of the ratio of the areas, so is ...

scale factor = √(36/25) = 6/5

The ratio of volumes is the cube of the ratio of linear dimensions, so is ...

volume ratio = (scale factor)^3 = (6/5)^3 = 216/125

Then the volume of the larger figure is ...

larger volume = (250 in^3)·(216/125) = 432 in^3

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Explanation
The four choices are all quadrilaterals with with at least a pair of parallel sides. 
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For a square and a rhombus, the diagonals are perpendicular. 

The diagonals of a rectangle and a parallelograms are not perpendicular. 
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A ranger in a lookout tower spots two fires on the campground below. Fire A is 75 meters east
Wittaler [7]

Answer:

the fire hydrant is 9 meters west and 58 m south of the tower

Step-by-step explanation:

Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east  and 40 meters south of the tower, It can be represented as (75, -40).  Fire B is 37 meters west and 64 meters south of the tower,  It can be represented as (-37, -64).

If a point O(x, y) divides a line segment AB in the ratio n:m, with A(x_1,y_1) and B(x_2,y_2), the point O(x, y) is at:

x=\frac{n}{n+m}(x_2-x_1)+x_1\\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-37-75) +75=\frac{3}{4}(-112)+75=-84+75\\x=-9 \\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-64-(-40))+(-40)= \frac{3}{4}(-18)-40=-18-40\\y=-58

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower

8 0
1 year ago
In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what
alukav5142 [94]

Answer:

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

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z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( tutor charges between $10 and $20 per hour)

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0.659 is the  probability that a tutor charges between $10 and $20 per hour.

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If 2x – 3 ≤ 5, what is the greatest possible value of 2x + 3 ? a.4 b.8 c.10 d.11
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Answer:

Hope it is correct :) :)

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