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Taya2010 [7]
3 years ago
13

Divide: –65.86 ÷ (–7.4)

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

8.9


Step-by-step explanation:

The answer is 8.9 because two negatives divided by each other equals a positive. In this case, there are two negatives so you know the answer will be a positive. In the end when you divided –65.86 ÷ (–7.4), you get 8.9!

Hope this helps, have a good day. c;

(You can also type it into your calculator if you have one, and you should hopefully get the same answer.)


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I NEED HELP ASAP
astraxan [27]

area of a square = s²

s² = 196

s = √196

therefore s = 14cm

hope it helps...!!!

3 0
2 years ago
Read 2 more answers
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
3 years ago
What is the inverse of the function 9y - 6 = 3x ?
IgorC [24]

Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = \frac{3x+6}{9}

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = \frac{3y+6}{9}

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

8 0
3 years ago
50r − 6 = 82r − 70.<br> a. r=64<br> b. r= -64<br> c.r=2<br> d.r=-2
lisabon 2012 [21]

Answer:

c

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
Find m. DCR if m. RCB= 115°<br> and m_ DCB = 169º.
Burka [1]
It is 54. Draw it out. You will see that DCB - RCB = DCR
7 0
3 years ago
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