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iris [78.8K]
3 years ago
9

Real life examples of heptagons and pentagons?

Mathematics
1 answer:
Trava [24]3 years ago
8 0
The headquarters of the United States Department of Defense is in the shape of a Pentagon, hence its colloquial name, "the Pentagon." Heptagons are harder to find; the British fifty-pence coin is a heptagon, and some cookie tins and pill boxes and whatnot are heptagonal.
You might be interested in
Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.

Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

8 0
3 years ago
Given f(x)=2x2-3, find F(-3)
Paraphin [41]

Answer:

f(-3) = 15

Step-by-step explanation:

f(x)= 2x^2 - 3

Plug in x = -3 into the function

f(-3) = 2(-3)^2 - 3

f(-3) = 18 - 3

f(-3) = 15

3 0
3 years ago
Read 2 more answers
the length of a rectangle is 9 inches more than the width. the perimeter is 54 inches. Find the length and width of the rectangl
Keith_Richards [23]
W is width W+9 is length W+W+9=54 2w=45 45/2 W=22.5 Width is 22.5 length is 31.5
7 0
3 years ago
Find the slope of the line: (4, 4), (5, 3)
fredd [130]

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

8 0
3 years ago
Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9
Tpy6a [65]
ANSWER

D.
A=3,P=2\pi,PS=(4,9)

EXPLANATION

The given function is

f(x) = 3 \sin(x - 4) + 9

Comparing to the general form of a trigonometric sine function,

f(x) = A \sin(Bx-C)+D

A=3
The amplitude is absolute value of A

|A| = |3| = 3

B=1

The period is given by

p = \frac{2\pi}{ B}

p = \frac{2\pi}{ 1} = 2\pi

C=4

is a shift to the right of 4 units.

and

D=9

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D
6 0
3 years ago
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