All categories

3 years ago

Paul wants to make a rectangular patio with 20 square tiles.What length and width will give the least perimeter?

Mathematics

2 answers:

Goryan [66]3 years ago

7 0

A 4 by 5 arrangment

andrew-mc [135]3 years ago

5 0

5 rows of 4 or 4 rows of 5. the primeter is 14

You might be interested in

9x²-6xy+4y²≥0 помогите

Liono4ka [1.6K]

I'm not very sure, but I hope it'll help.

8 0

4 years ago

XYZ is reflected across the line x=3. What is the reflection image of Z?

Stells [14]

Give us a picture of XYZ and some choices for the answer,
and you'll have yourself a question that we can work with.

5 0

3 years ago

What is the value of x in the equation below 6 (x - 8) equals 72

olga_2 [115]

Here is the equation:

$6(x-8)=72$

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD

You need to remove the parentheses by multiplying everything in the parentheses by 6.

$6(x-8) = (6\times x) + (6 \times -8)$

Multiply:

$6 \times x = 6x\\6 \times -8 = -48$

Remember:

NEGATIVES

Negative(-) times(×) negative(-) = positive(+)

Negative(-) times(×) positive(+) = negative(-)

Negative(-) divided(÷) by positive(+) = negative(-)

Negative(-) divided(÷) by negative(-) = positive(+)

POSITIVES

Positive(+) times(×) positive(+) = positive(+)

Positive(-) times(×) negative(-) = negative(-)

Positive(+) divided(÷) by positive(+) = positive(+)

Positive(+) divided(÷) by negative(-) = negative(-)

Now combine the two values and rewrite the equation:

$6x+-48 \rightarrow 6x-48=72$

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).

$6x-48+48=72+48\\6x=120$

Lastly, divide both sides by 6 to leave x alone.

$\frac{6x}{6} = \frac{120}{6}$

$x=20$

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.

$6(x-8)=72$

Start by dividing both sides by 6 to remove the number next to the parentheses.

$\frac{6(x-8)}{6} =\frac{72}{6}$

$x-8=12$

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).

$x-8+8=12+8\\$

$x=20$

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

8 0

3 years ago

Read 2 more answers

Let f(x)=11-3xm compute f(2)+f^-1(2)

Ganezh [65]

Taking f(X) to be y
Y = 11 - 3X
3X = 11 - y
X = (11-y)÷3
F^-1(x) = (11 - x)÷3 addING both equations
It gives = 0

Please mark as brainliest

8 0

3 years ago

How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle $\frac{2\pi }{3}$

- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

∵ cos( $\frac{2\pi }{3}$ ) = $-\frac{1}{2}$

∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

∴ x = -3.5

∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

∴ y = 3.5 $\sqrt{3}$

∴ The vector is <-3.5 , 3.5 $\sqrt{3}$ >

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <3 + -3.5 , 4 + 3.5 $\sqrt{3}$ >

∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

5 0

4 years ago