Mathematics, 03.02.2020 20:02 snoopyqueen2597

In circle s, diameter pn is drawn .if measurement arc mn=110 degrees and ps=10 then find the length of mn to the nearest tenth. show how you found your answer

In circle s,diameter pn is drawn .if measurement arc mn=110 degrees and ps=10 then find the length o

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Answer from: lakiyalundy57

$MN=16.4\ units$

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

$PS=10\ units$

$PN=2*PS=2*10=20\ units$

step 2

Find the measure of arc MP

$arc\ MN+arc\ MP=180\°$

$arc\ MN=110\°$

$arc\ MP=180\°-110\°=70\°$

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

sin(

substitute the values

$sin(55\°)=\frac{MN}{20}$

$MN=(20)sin(55\°)=16.4\ units$

Answer from: Quest

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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In circle s, diameter pn is drawn .if measurement arc mn=110 degrees and ps=10 then find the length...

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