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Ber [7]
3 years ago
7

Write a story, describe a situation, or invent a scenario that can be represented by a 2-step equation or inequality.

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

Six friends spend $84 on dinner and split the bill evenly. Write a multiplication equation to solve how much each person paid. f=variable each person paid.

6f/6=84/6 f=14

Step-by-step explanation:

6f=84    

6/6f=84/6 cross out the sixes. Then, f=84/6. So, 84 divided by 6= 14. f=14. Each person paid $14.

YW!

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Step-by-step explanation:

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Which are the solutions of x² = 19x + 12​
Sever21 [200]

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

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Eduardwww [97]

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Step-by-step explanation:

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2 years ago
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})

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3 years ago
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Tomtit [17]

Answer:

True

Step-by-step explanation:

One is the opposite of the other

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