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swat32
4 years ago
14

2/35=x/140 solve the proportion

Mathematics
1 answer:
tamaranim1 [39]4 years ago
4 0

\frac{2}{35}=\frac{x}{140}    Multiply 140 on both sides to get "x" by itself

(140)\frac{2}{35}=\frac{x}{140} (140)

\frac{280}{35}=x

8 = x

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1200$ invested at a rate of 3.5% compounded quarterly; 4 years
Tju [1.3M]

Step-by-step explanation:

<em>1st year</em>:

(1200 x 3.5 x 1) ÷ 100 = $42

<em>2nd year:</em>

(1242 x 3.5 x 1) ÷ 100= $43.47

<em>3rd year:</em>

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3 years ago
Sam has 1000 to distributed among two groups equally. Later ,the first part is divided among five children and second part is di
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3 years ago
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
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Answer:

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Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

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Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

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3 years ago
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