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Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

75%

Step-by-step explanation:

add them together

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If the scale factor between a scale drawing of a rectangle and the real object is 1:3 what would be the ratio of the areas?

Ivanshal [37]

Answer:

The ratio of the areas will be will be 1 : 9

Step-by-step explanation:

The linear scale factor represents a ratio that is used to multiply the dimensions of objects so that accurate geometries can be transferred between real-life and paper.

The linear scale factor is quite different from the area scale factor but related to it in the following way:

The area factor can be obtained by squaring the linear scale factor.

This is Area factor = (Linear scale factor) ^2.

Linear scale factor = (1:3)

Area factor = $1^2 : 3^2$

Area factor will be 1: 9

Thus, when the linear scale factor is 1:3 the area factor will be 1 : 9

7 0

3 years ago

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters