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Pavlova-9 [17]
3 years ago
6

Find the measure of the arc or angle indicated PLEASE HELP

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

step 1

Find the measure of angle F

we know that

In an inscribed quadrilateral, the opposite angles are supplementary

so

substitute the value of <Q

99\°+

step 2

Find the measure of arc PQ

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values

81\°=\frac{1}{2}(arc\ PQ+92\°)

162\°=(arc\ PQ+92\°)

arc\ PQ=162\°-92\°=70\°

step 3

Find the measure of angle R

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values

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gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

Volume of a sphere is given by

\frac{4}{3} \pi  {r}^{3}

r = 5.30

The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0
3 years ago
Determine if the side lengths 2.1in,4in,7.9in form a triangle
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5 0
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4/5 divided by 1/10?
Evgesh-ka [11]

Answer:

the answer to the question is 8

6 0
3 years ago
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vovikov84 [41]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

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L₁ is y = 5x + 1 ← in slope- intercept form

with slope m = 5

L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - \frac{3}{2} ← in slope- intercept form

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Since L₁ and L₂ have equal slopes then they are parallel lines

3 0
3 years ago
Evaluate 21 - n for n = 3 *<br><br> please help me with this
qwelly [4]

Answer:

18

Step-by-step explanation:

21-n; n=3

Substitute n for 3:

  • 21-3

Solve.

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3 years ago
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