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Lesechka [4]
2 years ago
7

The inequality x + 2y ≥ 3 is satisfied by point (1, 1). True False

Mathematics
2 answers:
andre [41]2 years ago
7 0
In the given statement above, in this case, the answer would be TRUE. It is true that the  inequality x + 2y ≥ 3 is satisfied by point (1, 1). In order to prove this, we just have to plug in the values. 1 + 2(1) <span> ≥ 3 
So the result is 1 + 2 </span> ≥ 3. 3 <span> ≥ 3, which makes it true, because it states that it is "more than or equal to", therefore, our answer is true. Hope this answer helps.</span>
ki77a [65]2 years ago
6 0

Answer:

True

Step-by-step explanation:

We can check by substitute x=1 into the inequality to determine if the y will be equal to 1 or more:

1+2y≥3

solve for y:

2y≥3-1

y≥2/2

y≥1

y is equal to 1 or more. Therefore the inequality is satisfied for point (1,1)

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Step-by-step explanation:

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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

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Area of the rectangle (2) = Length × Width

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One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

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8 0
3 years ago
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Answer:

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2 years ago
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Answer:

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Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

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