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Alex Ar [27]
3 years ago
9

A wire is first bent into the shape of a rectangle with width 7in and length 9in then the wire is bent and reshaped into a squar

e what is the length of a side of a square.
Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

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13, what is the probability that the coin lands on heads the first two times and lands on tales third
lozanna [386]

Answer: The probability is 1/8

Explanation:

Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.

We are flipping the coin three times.

The number of relevant outcomes is 1 (one triple {Head, Head, Tail})

The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.

The probability P = 1/8

4 0
3 years ago
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.
Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = 2\pi r , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. 2\pi r=2.5

\Rightarrow\ r=\dfrac{2.5}{2\pi}

\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

7 0
3 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

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3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
3 years ago
The width of a rectangle is the length minus 7 units. The area of the
AleksandrR [38]

Answer:

8 units

Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

<em>=</em><em>></em><em> </em><em>let </em><em>the </em><em>length</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>be </em><em>X </em>

<em>=</em><em>></em><em> </em><em>then </em><em>width</em><em> </em><em>=</em><em> </em><em>x </em><em>-</em><em> </em><em>7</em>

<em>=</em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>8</em><em>u</em><em>n</em><em>i</em><em>t</em><em>s</em>

<em>=</em><em>></em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>length</em><em>*</em><em>width</em>

<em>=</em><em>></em><em> </em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>x </em><em>(</em><em>x-7)</em><em> </em><em>=</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em> </em><em>=</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em>now,</em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em>x</em><em> </em><em>-</em><em> </em><em>8</em><em> </em><em>=</em><em> </em><em>0</em>

<em>=</em><em>></em><em> </em><em>factories</em><em> </em><em>the </em><em>above </em><em>equation </em><em>by </em><em>middle</em><em> term</em><em> split</em>

<em>=</em><em>></em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em>x</em><em> </em><em>-</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>8</em><em>x</em><em> </em><em>+</em><em> </em><em>x </em><em>-</em><em> </em><em>8</em><em> </em>

<em>=</em><em>></em><em> </em><em>take </em><em>the </em><em>common</em>

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<em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>8</em>

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3 0
3 years ago
Solve the following proportion for y.
LekaFEV [45]

Answer:

y = 110/3 or 36.6 (the 6 is infinite so make a line over it when entering the answer)

7 0
3 years ago
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