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solong [7]
3 years ago
15

Need help on this please

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

25\pi

Step-by-step explanation:

\pir^{2}=area of circle

\frac{1}{4}\pir^{2}=1/4 of the area of a circle

now solve

\frac{1}{4}\pi10^{2}

\frac{1}{4}\pi100

<u>25</u>\pi<u></u>

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What is the least common multiple of 4 and 6? *<br><br> 1. 24<br> 2. 12<br> 3. 4<br> 4. 6
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Answer:

12

Step-by-step explanation:

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3 years ago
I have to solve these using area models:
melamori03 [73]
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If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify tha
Gnoma [55]

Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2}  \right)

D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2}  \right)

D(x,y) = (4,0)

The length of the median AD is calculated by the Pythagorean Theorem:

AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}

AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}

AD = 6

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}

AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}

AB \approx 4.123

AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}

AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}

AC \approx 4.123

BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}

BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}

BC \approx 4.472

BD = CD = \frac{1}{2}\cdot BC (by the definition of median)

BD = CD = \frac{1}{2} \cdot (4.472)

BD = CD = 2.236

AD = 6

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}, where s_{ABD} = \frac{AB+BD+AD}{2}

A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}, where s_{ACD} = \frac{AC+CD+AD}{2}

Finally,

s_{ABD} = \frac{4.123+2.236+6}{2}

s_{ABD} = 6.180

A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}

A_{ABD} \approx 3.004

s_{ACD} = \frac{4.123+2.236+6}{2}

s_{ACD} = 6.180

A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}

A_{ACD} \approx 3.004

Therefore, areas of triangles ABD and ACD are the same.

4 0
4 years ago
Please be quick! I need this as soon as possible!
victus00 [196]

Answer:

hhi

Step-by-step explanation:

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