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Naddik [55]
3 years ago
7

The length of a rectangle is 5 centimeters less than twice its width. Its area is 42 square centimeters. Find the dimensions of

the rectangle.
The width is
and the length is

​
Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer:

width=6cm, lenth is 7cm

Step-by-step explanation:

Let width of rectangle be x cm

Twice width=2x cm

length=2x-5 cm

Area of the rectangle= L× W =42cm²

(2x-5) × x =42

x(2x-5)=42

2x²-5x-42=0

solving the quadratic equation

x=6cm

width=6cm

length= (2×6)- 5 =7cm

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icang [17]

We know: The sum of the measures of the angles of a triangle is equal 180°.

We have: m∠A =65°, m∠B =  (3x - 10)° and m∠C = (2x)°.

The equation:

65 + (3x - 10) + 2x = 180

(3x + 2x) + (65 - 10) = 180

5x + 55 = 180        <em>subtract 55 from both sides</em>

5x = 125          <em>divide both sides by 5</em>

x = 25

m∠B =  (3x - 10)° → m∠B =  (3 · 25 - 10)° = (75 - 10)° = 65°

m∠C = (2x)° → m∠C = (2 · 25)° = 50°

<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>
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3 years ago
3.The _________ of sets is the set of all the members of both sets without repeating any of the members in the sets.
KiRa [710]

Answer:

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3 years ago
If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i
Bingel [31]

Answer:

The number of games for Xbox is about 155

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Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

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∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = \frac{47}{100}

∴ The number of games for Xbox = \frac{47}{100} × 330

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∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

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∴ The number of games for PS4 = 53% × 330

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∴ The number of games for PS4 = \frac{53}{100} × 330

∴ The number of games for PS4 = 174.9

∴ The number of games for PS4 ≅ 175

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The answer is (2,49).


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