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2 years ago

Help help hep me sorry for like a million queestions

Mathematics

1 answer:

zvonat [6]2 years ago

8 0

Answer:

1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!

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WILL MARK BRAINLIEST!!! A contractor has 34 meters of fencing that he is going to use as the perimeter of a rectangular garden.

snow_tiger [21]

Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

Now, we have a quadratic equation

Solving by factorisation

x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

(x - 8)(x - 9) = 0

x - 8 = 0 or x - 9 = 0

x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

y = 9

When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

7 0

3 years ago

Which represents x2 – 12x + 36 in factored form?

alexandr402 [8]

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

The given quadratic equation is $x^2 - 12x + 36 = 0$ .

A quadratic equation can be factored in the form $(x - a)(x - b)$ where $-a$ and $-b$ will form the roots of the equation.

Here the roots are: $+6 , +6$ .

The factored form would simply be: $(x - 6) (x - 6)$ .

3 0

2 years ago

Find the zero of: f(x)=5x+195

monitta

Answer:

(x + 39) or x = -39

Step-by-step explanation:

Set f(x) to 0

0 = 5x + 195

5x = -195

x = -39

4 0

2 years ago

-12=3-2k-3k<br><br> Solving multi-step equations<br><br> I give Brainliest!

inessss [21]

Answer:

k = 3

Step-by-step explanation:

-12 = 3 - 2k - 3k

-12 = 3 - 5k

5k = 15

k = 3

6 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

aleksley [76]

The length of PR is 4.4 units.

Explanation:

It is given that the length of the hypotenuse is 10 units.

Also, the angle of R is 64°

To find the length of PR, we shall use the cosine formula,

$\cos \theta=\frac{a d j}{h y p}$

Here, $\theta=64$ , adj = PR and hyp = 10

Substituting these values in the formula, we get,

$\cos 64=\frac{P R}{10}$

Multiplying both sides by 10, we get,

$10*\cos 64={P R}$

Substituting the value for cos 64, we get,

$10*0.438={P R}$

Multiplying, we have,

$4.38=PR$

Rounding off, we get,

$PR=4.4$

Thus, the length of PR is 4.4 units.

8 0

3 years ago