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3 years ago

RT is tangent to circle S at point T. If UR = 14, and ST = 8, find RT.

Mathematics

1 answer:

kogti [31]3 years ago

4 0

The anwser is 6 14-8

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

The perimeter of the rectangle below is 84 unit . Find the length side of XY

lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1

Side UV = 5z+3

Perimeter of rectangle is given by:

2UY+2UV=P

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

Side XY≈ 25 unit

5 0

3 years ago

The florida panther has an average height of 30 inches. It is 20 inches taller than the northern mockingbird. Write and solve an

sleet_krkn [62]

30-20=x 30 for the height of panther and 20in taller so u subtract 20 from 30

3 0

3 years ago

PLEASE HELP 15 PTS <br>HELP ME WITH TRUE OR FALSE MATH

Sever21 [200]

1st on the top right hand corner is True
2nd on the second row to the right is True
3rd on the first row, second column is False
4th on the second column second row is False
5th on the third column, first row is True
6th on the third column, second row is True

8 0

3 years ago

Let f(x) = 5x-7 and g(x) = 2x-3. Find f(x)+g(x)

postnew [5]

Answer:

7x - 10

Step-by-step explanation:

f(x)= 5x - 7

g(x)= 2x - 3

f(x) + g(x)

= 5x - 7 + 2x - 3

= 7x - 10

5 0

3 years ago

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