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3 years ago

A polygon with all sides always congruent

Mathematics

2 answers:

larisa86 [58]3 years ago

7 0

Square equal sides and angles

egoroff_w [7]3 years ago

6 0

Square square square square

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A classroom board is 54 inches wide and 36 inches tall. Eva

Lady bird [3.3K]

<h3>Answer: 180 inches</h3>

Work Shown:

L = 54 = length

W = 36 = width

P = 2(L+W) ... perimeter of the rectangle

P = 2(54+36)

P = 2(90)

P = 180

She needs 180 inches of ribbon.

To convert to feet, divide by 12. So 180 inches = 180/12 = 15 feet.

8 0

2 years ago

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
complete the square
$x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542$
take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

8 0

3 years ago

Which expression is equivalent to 1/4 -3/4 x?

Dmitriy789 [7]

Answer:

factor out 1/4 from the expression

1/4x(1-3x)

5 0

3 years ago

Read 2 more answers

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1

7 0

3 years ago

Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. A ma

Oksanka [162]

Answer:

For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.

Step-by-step explanation:

Given:

Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)

Let's find the Z score.

Z = $\frac{x - mean}{S.D}$

Now plug in the given values in the above formula, we get

Z = $\frac{1 - 2.2}{1.7} = -0.71$

Now we have to use the z-score table.

The z-score for 0.71 is 0.2611

Since it z is negative, so we subtract 0.2611 from 0.5000

0.5000 - 0.2611 = 0.2389

Percentage = 0.2389 × 100 = 23.89%

To find replaces for 1000 pairs, we need to multiply 23.89% by 1000

= $\frac{23.89}{100} .1000 = 238.9$

= 239

The cannot be in decimal, when we round off to the nearest whole, we get

239

3 0

3 years ago