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madam [21]
3 years ago
12

The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide,

what is its area?
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

Step-by-step explanation:

Area of octagon = area of square - area of 4 triangles that are formed in four corners

Area of square:

Side = Width of the octagon = 10 cm

Area = side * side

       = 10 * 10

      = 100 cm²

Area of triangle:

Base =  2cm

height =  2 cm

Area =\frac{1}{2}b*h

        =\frac{1}{2}*2*2

       = 2  cm²

Area of octagon = 100 - 2 =  98  cm²

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2+4+8=14
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What’s the answer to this
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Answer:

A

Step-by-step explanation:

Given f(x) the f(x) + c represents a vertical translation of f(x)

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• If c < 0 then a shift down of c units

Here c = - 6, thus a shift down, thus

g(x) = x² - 6  → A

4 0
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A horizontal line passes through (5,-2). Which other point is also on that line?
xenn [34]
Another point on the line is (6,-1)
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4 years ago
Using Pythagorean inequalities, determine which of the following sets of values can represent the lengths of the sides of an acu
seropon [69]

Answer:

<h2>c. 6, 7, 8</h2>

Step-by-step explanation:

a,\ b,\ c-\text{sides of a triangle}\\\\\text{If}\ a\leq b< c\ \text{and}\ a^2+b^2=c^2,\ \text{then it's the lengths of the sides of a right triangle}\\\\\text{If}\ a\leq b\leq c\ \text{and}\ a^2+b^2>c^2,\ \text{then it's the lengths of the sides of a acute triangle}\\\\\text{If}\ a\leq b< c\ \text{and}\ a^2+b^2

\text{Triangle condition:}\\\text{That each side has to be shorter than the sum of the other two sides}\\\text{and longer than their difference.}\\\\\text{If}\ a\leq b\leq c,\ \text{then}\ a+b>c.

--------------------------\\a.\\a=1,\ b=2,\ c=3\\\\a+b=1+2=3=c\\\\\text{These are not the lengths of the sides of the triangle.}\\----------------------------\\b.\\a=6,\ b=8,\ c=10\\\\a+b=6+8=14>10=c\qquad OK\\\\a^2+b^2=6^2+8^2=36+64=100\\\\c^2=10^2=100\\\\a^2+b^2=c^2\\\\\text{It's the right triangle.}\\----------------------------

c.\\a=6,\ b=7,\ c=8\\\\a+b=6+7=13>8\qquad OK\\\\a^2+b^2=6^2+7^2=36+49=85\\\\c^2=8^2=64\\\\a^2+b^2>c^2\\\\\text{It's the acute triangle.}\\----------------------------\\d.\\a=4,\ b=6,\ c=10\\\\a+b=4+6=10=c\\\\\text{These are not the lengths of the sides of the triangle.}

6 0
3 years ago
A random sample of 85 adults found that the average calorie consumption was 2100 per day. Previous research has found a standard
denpristay [2]

Answer:

$15600

Step-by-step explanation:

Minimum number of samples can be calculated using the formula:

N≥(\frac{z*s}{ME})^2 where

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N≥(\frac{1.96*450}{50})^2 =311.2

Therefore, minimum required sample size for 50 cal standard error in 95% confidence is 312

Since the survey costs $50 for each person then the survey costs minimum

50*312=$15600

5 0
3 years ago
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