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3 years ago

System of equations, please help.

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

3.75*A + 2.50*D = 35

A + D = 12

A = 12 - D

3.75*(12-D) +2.5*D= 35

45 - 3.75D + 2.5D = 35

45 - 1.25D = 35 |-35

10 - 1.25D = 0 |+1.25D

10 = 1.25D | /1.25

8 = D

A+D=12

A+8=12 |-8

A=4

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Answer:

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Part B) option 1,option 4

Step-by-step explanation:

Part A) Derive the formula for the area of a sector

we know that

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Part B) Verify each case

case 1) we have

radius = 5 cm

angle = 120°

area = 26.2 cm 2

Find the area of the sector and then compare with the value of the given area

assume

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substitute the given values

$A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}$

$A_s=26.2\ cm^2$

The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}$

$A_s=14.7\ cm^2$

The given value of area is not correct

case 3) we have

radius = 6 cm

angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}$

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The given value of area is not correct

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radius = 7

angle = 75°

area = 32.1 cm 2

Find the area of the sector and then compare with the value of the given area

assume

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substitute the given values

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3 years ago

20 POINTS PLEASE HELP ME!!!

stiv31 [10]

This is simple multiplication
do 2*4 and 10*4
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if you wanna do it by doing division do
2=10
f(x)=40
cross multiply then divide
so do 2*40 to get 80
then do 80/10 to get 8

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3 years ago

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