Mathematics, 15.10.2019 18:50 gingerham1

"what is the ratio of the area of triangle abc to the area of sector bdca (the sector spanned by arc bdc)?

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"what is the ratio of the area of triangle abc to the area of sector bdca (the sector spanned by arc

Answers: 3

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Answer from: shunna33

Ratio = A_ABC / A_BDCA = r^2/2 / 3/4(π)r^2 = 4 / 6π = 2 / 3π = 0.21

Answer from: attic

$\text{The ratio is }\frac{7}{33}=0.212...$

Step-by-step explanation:

Given the circle with radius r

we have to find the ratio of the area of triangle ABC to the area of sector BDCA .

$\text{Area of triangle ABC=}\frac{1}{2}\times base\times height$

$=\frac{1}{2}\times r\times r=\frac{1}{2}r^2$

$\text{Area of sector BDCA=}\frac{\theta}{360}\times \pi r^2$

$=\frac{270}{360}\times \pi r^2$

$Ratio=\frac{\text{area of triangle}}{\text{area of sector BDCA}}$

$=\frac{\frac{1}{2}r^2}{\frac{270}{360}\times \pi r^2}=\frac{7}{33}$

$\text{The ratio is }\frac{7}{33}=0.212...$

Answer from: Quest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

Answer from: Quest

The answer would be -3.9> -4.5

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"what is the ratio of the area of triangle abc to the area of sector bdca (the sector spanned by arc...