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irina1246 [14]
2 years ago
9

The scale from a playground to a scale drawing of the playground is 4 meters per centimeter.The length of the drawing of the pla

yground is 5.3 cm and the width is 3.8 cm. What is the area of the actual playground?
Mathematics
1 answer:
Scilla [17]2 years ago
6 0

Answer:

322.24 meters

Step-by-step explanation:

The scale is 4 meter per centimeter. Multiply 5.3 by 4 to get 21.2 meters. Multiply 5.3 by 4 to get 15.2 meters. Multiply 21.2 by 15.2 to get 322.24

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9. Find the area of the figure to the right.<br> area<br> 14 in
zlopas [31]

Answer:

1. 200 in.^2

2.

Step-by-step explanation:

1. Area of a trapezium=1/2(a+b)height

a=14 in.

b=20 in.+6 in. = 26 in.

height= ?

height can be gotten by using

formula : Soh Cah Toa

Toa is tangent∆= opposite/ adjacent

∆ = 60°

opp=? adj=6 in.

Tan 60° =opp/6 in.

Tan 60° = 1.732

1.732= opp/ 6 in.

opp=1.732*6 in.

opp = 10.392 approximately= 10 in.

Area of trapezium= 1/2*(14+26)*10(in.^2)

Area of trapezium= 1/2*40*10

= 1/2*400

= 200 in.^2 .

2. Area of triangle= 1/2* base* height

for first triangle =

base=4m

height =15m

Area: 1/2*4*15 ,1/2*60= 30m^2

second triangle =

base:?

height: 15m

using Pythagorean theorem;

hyp^2 = opposite ^2 + adjacent ^2

17^2 = 15^2 + adj^2

289= 225 + adj^2

adj^2 = 289-225= 64

square root

adj = 8m

area of second triangle : 1/2*8*15

: 1/2*120 :60m^2

total area: 30 m^2 +60m^2

==90 m^2

8 0
3 years ago
Which is the equation of the line?
IRINA_888 [86]
Answer: (C)2x + 8Y = 16 

\underline{X || 2x + 8Y = 16 || Y}
\underline{0\:||\:2*0 + 8Y = 16\to\:8Y = 16\to\:Y =  \frac{16}{8}\:||\:Y = 2} (0,2)
\underline{8\:||\:2*8 + 8Y = 16\to\:8Y = 16-16\to\:Y = \frac{0}{8}\:||\:Y = 0} (8,0)

<span>Check the chart for a better understanding:
</span>



3 0
3 years ago
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