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3 years ago

What’s the circumference of a circle with radius of 18 in.

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

Answer:

C = 36 pi or approximately 113.04

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2*pi*18

C = 36 pi

We can approximate pi by 3.14

C = 36*3.14

C =113.04

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

6 0

2 years ago

a recipe for barbecue sauce calls for 1/2 cup of brown sugar for every 2/3 of ketchup How many cups of brown sugar is required f

olga2289 [7]

Answer:

3/4

Step-by-step explanation:

1/2 : 2/3

X : 3/3

3/4 : 3/3

7 0

2 years ago

Read 2 more answers

The measure of an angle is seventy-one times the measure of a supplementary angle. What is the measure of each angle?

steposvetlana [31]

Let the smallest angle = x

Then the larger one = 71x

Supplementary angles are always equal to 180o

x + 71x = 180o Add the left side

72x = 180 Divide by 72

x = 180/72

x = 2.5

The smallest angle = 2.5 degrees

The largest angle = 2.5 * 71

The largest angle= 177.5 degrees.

3 0

3 years ago

Fill in the numbers for each hashmark: -10, 2, -5, 13 then plot it. help

Darya [45]

So all your doing is plotting the points, for example find 0 then count forward twice- u will plot and label it their. Its the same process for each number. (ps if its negative go backwards)

6 0

2 years ago

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi

zimovet [89]

Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\$

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10$

So other endpoint S is (0,-10)

Learn more : brainly.com/question/16829448

8 0

2 years ago