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olga2289 [7]
2 years ago
8

!solve this! 3x + 70 − 7x ≥ 18

Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer:

3x + 70 − 7x ≥ 18

Step 1: Simplify both sides of the inequality.

−4x + 70 ≥ 18

Step 2: Subtract 70 from both sides.

−4x + 70 − 70 ≥ 18 − 70

−4x ≥ −52

Step 3: Divide both sides by -4.

−4x /−4  ≥  −52 /−4

x ≤ 13

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Find the 76th term of the arithmetic sequences 16 14 12
grigory [225]

Answer:

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Step-by-step explanation:

The n th term of an arithmetic sequence is

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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
lawyer [7]

Answer:

3.5

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.

5 0
3 years ago
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