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Scilla [17]
2 years ago
8

2 The following functions are equivalent.

Mathematics
1 answer:
uysha [10]2 years ago
8 0
2x2 − 12x + 21. Axis of symmetry. 2.
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The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
Witch tipe of line symmetry does the figure have C
almond37 [142]

what does figure c look like

6 0
3 years ago
At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 wo
mart [117]

Answer:

(2, 2)

Step-by-step explanation:

just say it was mental math

7 0
3 years ago
Read 2 more answers
How many unique triangles can be made with 3,5,8
blondinia [14]

Answer

2 or 3

Step-by-step explanation:

3 0
3 years ago
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24x + 30x = 3x + 24 + 4
Alinara [238K]

24x + 30x = 3x + 24 + 4


54x=3x+24+4


54x=3x+28


54x-3x=28


51x=28


X=28/51

7 0
3 years ago
Read 2 more answers
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