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Fynjy0 [20]
4 years ago
12

A scale drawing of a rectangular field is 10 centimeters by 8.5 centimeters. If the actual field of 40 meters by 34 meters, whic

h could be the scale used for the drawing?
Mathematics
1 answer:
DiKsa [7]4 years ago
5 0

Answer:

\frac{1cm}{4 meters}

Step-by-step explanation:

To find the scale, we write a ratio of \frac{map}{real world} and simplify.

Assuming the 40 meter side corresponds to 10 cm, we know \frac{map}{real world}=\frac{10cm}{40 meters}. We simplify to \frac{1cm}{4 meters}

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Step-by-step explanation:

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
egoroff_w [7]

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

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Let the required point be P.

AP:AB=3:4

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It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

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