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2 years ago

Find the radius of a circle in which an inscribed square has a side of 8 inches.

Mathematics

1 answer:

tatiyna2 years ago

4 0

Answer:

r = 4

Step-by-step explanation:

side of square is the same as the diameter of the circle

if diameter is 8 then radius is 4

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zhannawk [14.2K]

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Range: Option B

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Range: Option A

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2 years ago

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.

OlgaM077 [116]

B.) If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the "<span>ASA Similarity Postulate"

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3 years ago

Read 2 more answers

a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

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2 years ago

I need help with this assignment

serious [3.7K]

In this problem the big angle will be equal to two times the smaller angle so the correct expression is:

$\angle TUV=2\angle VUW$

Now we can rewrite the equation so:

$\angle VUW=\frac{1}{2}\angle TUV$

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1 year ago

Reggie surveyed several classmates at his school asking them how many hours they spend doing homework each week. The results of

Neko [114]

Total students 5+16+42+22+5 = 90
0-1's probability is 5 / 90 = 5.5% about
2-3's probability is 16 / 90 = 17.7% about
4-5's probability is 42 / 60 = 46.6% about
6-7's probability is 22 / 90 = 24.4% about
8+'s probability is 5 / 90 = 5.5% about
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3 years ago