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Mrrafil [7]
3 years ago
15

A parallelogram is being painted on the wall of a playroom. The parallelogram measures 7.3 meters in length and has a height of

5 meters. How many square meters of paint are needed?
Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer: 36.5 m²

Step-by-step explanation:

Whenever a unit is square, it means that it is measuring Area. Square meters are therefore used to denote the area of a shape.

This question is therefore asking for the area of the Parallelogram which is calculated by the formula:

= Length * Width

= 7.3 * 5

= 36.5 m²

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Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

V\propto \frac{1}{P}

We can rewrite the above equation is

\frac{V_1}{V_2}=\frac{P_2}{P_1}  [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

V_1= 93 cubic inches, P_1 = 14 pounds per square inches,

V_2=31 cubic inches, P_2 = ?

\frac{V_1}{V_2}=\frac{P_2}{P_1}

\Rightarrow \frac{93}{31}=\frac{P_2}{14}

\Rightarrow \frac{P_2}{14}=\frac{93}{31}

\Rightarrow {P_2}=\frac{93}{31}\times 14

\Rightarrow {P_2}=42 pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

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Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

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