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Anastaziya [24]
3 years ago
15

AREA ADDITION AND SUBTRACTION ASSISTANCE?

Mathematics
1 answer:
Tom [10]3 years ago
7 0

The shaded area is a segment. The area of a segment is

A_{segment}=A_{sector}-A_{triangle}.

You know radius that is the side of isosceles triangle and measure of angle between two equal triangle sides, then

A_{triangle} =\dfrac{1}{2} a\cdot a \sin \alpha=\dfrac{1}{2} 18.6\cdot 18.6 \cdot  \sin 123^{\circ}=172.98\cdot  \sin 123^{\circ}=145.07 sq. m..

The area of sector is A_{sector}=\dfrac{r^2\cdot \alpha}{2}= \dfrac{(18.6)^2\cdot 0.68\pi}{2}=117.63\pi=369.53 sq. m..

Then A_{segment}=369.53-145.07=224.46 sq. m.

Answer: A_{segment}=224.46 sq. m.

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The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,
Sedbober [7]

Answer:

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = x

Money raised by washing cars = $5x

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1x = $x

Given that, both the teams have raised same amount of money:

50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

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