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ddd [48]
3 years ago
15

What is the first “given” on number 7?

Mathematics
2 answers:
stich3 [128]3 years ago
4 0

I assume that the IG and IJ are equal is the given.

I am Lyosha [343]3 years ago
4 0

Answer:

i think that's an error. if it was a given, they would have given it like the second given statement. i would leave it blank if i were you.

Step-by-step explanation:


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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

Or

x = 9, y = 8

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

7 0
3 years ago
It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production l
denpristay [2]

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023

6 0
3 years ago
Factorizatioun of X^2+5x-6
NNADVOKAT [17]

x² + 5x - 6 can be expressed as (x + 6)(x - 1).

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to -2(5x – 0.75)?
katen-ka-za [31]

Answer:

0 - 10x + 1.5

Step-by-step explanation:

-2(5x - 0.75)

Expand the bracket

-10x + 1.5

0 - 10x + 1.5 is the equivalent expression

3 0
3 years ago
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Alenkinab [10]

Answer:

C

Step-by-step explanation:

In the attached file

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