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3 years ago

Find the center of the circle that can be circumscribed about mc043-1.jpgEFG with E(6, 4), F(6, 2), and G(10, 2)

Mathematics

1 answer:

loris [4]3 years ago

5 0

The center of the circle is f(6,10)

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Alma got to the playground at 2:45.she spent 20 minutes on the swings and 10 minutes on the jungle gym. She played on the slide

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Answer:

Alma got home at 3:27

Step-by-step explanation:

2:45+30 min=3:15

3:15+12 min = 3:27

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3 years ago

Solve the system of linear equations by graphing.<br> Y = 3.2<br> y - 4= 32

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3 years ago

7 % of 412 what is itttttt

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Step-by-step explanation:

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3 years ago

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5(x−3.8)=22 <br> please help find the x value

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Step-by-step explanation:

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3 years ago

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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

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