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3 years ago

The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Option D is the correct answer

$2w+2.(3w)\leq 112$

Further explanation:

Let

$l\ be\ the\ length\ of\ rectangle\\and\\w\ be\ the\ width\ of\ rectangle$

The perimeter of a rectangle is given by:

$P=2w+2l$

It is also given that:

$P\leq 112$

So we can write as

$2l+2w\leq 112$

We also know that The length of the rectangle is three times its width

$l=3w$

Putting the value of l in the inequality

$2.(3w)+2w\leq 112$

Rearranging the terms

$2w+2.(3w)\leq 112$

Hence, option D is the correct answer.

Keywords: Inequalities, Perimeter

Learn more about inequalities at:

#LearnwithBrainly

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saveliy_v [14]

Answer:

The direct distance between the birds is 12.64 miles.

Step-by-step explanation:

We have, one bird flew 12 miles west and another bird flew 4 miles north. It is required to find the direct distance between the birds. It means we need to find the resultant of two displacement. It can be given by :

$d=\sqrt{12^2+4^2} \\\\d=12.64\ \text{miles}$

So, the direct distance between the birds is 12.64 miles.

3 0

4 years ago

Please help me with this

Diano4ka-milaya [45]

Let the third angle of the triangle be y.

y + 64° + 45° = 180° (angle sum of triangle is 180°)

x + y = 180° (angle of a straight line is 180°)

Notice that they both equal 180°. This means that they are the same thing, hence:

y + 64° + 45° = x + y

Since y = y, it is not necessary to write them down. Remove y from both sides of the equation:

64° + 45° = x

Surprise! exterior angle = sum of interior opposite angles.

I hope this clears up any confusion you might have. If not, feel free to leave a comment with your question.

6 0

3 years ago

Negative three times a number is at least 57.

castortr0y [4]

The option formatting isn't very clear, anyway: given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:

$-3x\geq 57$

Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:

$x\leq \dfrac{57}{3}=19$

4 0

3 years ago

Harry and Luna together ate 56 Chocolate Frogs. Harry ate 6 more Chocolate Frogs than Luna. How many Chocolate Frogs did Luna ea

shepuryov [24]

Answer: 25 chocolate frogs eaten by Luna

Step-by-step explanation:

let the amount of chocolate frogs eaten by Luna = x

and the amount of chocolate frogs eaten by Harry = 6+ x

Such that total a,mount of chocolate frogs eaten by both of them

= x +( 6+x) = 56

Step 2- Solving

x+6+x=56

6 + 2x= 56

2x= 56-6

2x= 50

x= 50/2

x= 25

x= 25 chocolate frogs eaten by Luna

6 +x= 6+ 25= 31 chocolate frogs eaten by Harry.

4 0

3 years ago

The Asteroids played the Constellations. Each team scored 1

Valentin [98]

Answer:

Asteroids won

24 - 23

Step-by-step explanation:

First Quarter = Asteroids 3 - 3 Constellations

Field goals are 3 points

Second Quarter - Asteroids 9 - 10 Constellations

Touchdowns are 6 points

Extra Point is 1 Point

Third Quarter - Asteroids 16 - 20 Constellations

Fourth Quarter - Asteroids 24 - 23 Constellations

5 0

4 years ago