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3 years ago

Real life examples of heptagons and pentagons?

1 answer:

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.

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At a new store a CD costs $15.99. At a second store the same CD costs 0.75 as much. About how much does the second store charge?

evablogger [386]

It costs about 11.99 at the second store

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3 years ago

24 divided by 689 show work

salantis [7]

0.034833091436865 This is the answer. Sorry but can't show work

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3 years ago

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A box of blueberries is 2/5 full. Janet and her friends had each eaten 1/10 of a box of blueberries. How many people are blueber

anyanavicka [17]

In this problem, we have to find the factor which will make (1 / 10) equal to (2 / 5). Therefore we can write it as:

x (1 / 10) = 2 / 5

where x is the number of people who ate the blueberries

x = (2 / 5) / (1 / 10)

x = 4

Therefore 4 people ate the blueberries.

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3 years ago

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Which of the following value are in the domain of the function graphed below?

Oduvanchick [21]

Answer:

look at the domain, where the line is on the x-axis

Step-by-step explanation:

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3 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago