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3 years ago

Evaluate for m 32, n = 2, p = 8 and r = 4 (np + r) m

Mathematics

1 answer:

TiliK225 [7]3 years ago

6 0

Answer:

If m= 32 then the answer is 320

If you're looking to find m then the answer is m= -10

Step-by-step explanation:

(2 + 8)32

(10)32

320

(2+8)m

set it equal to 0

(2+8)m=0

(10)m=0

-10

m= -10

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3 years ago

Derive the formula for the area of a sector, and then use it to choose all that are correct.

Marina CMI [18]

Answer:

Part A) $A_s=\frac{\pi r^{2}}{360^o}{\theta}$

Part B) option 1,option 4

Step-by-step explanation:

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

we know that

The area of circle is equal to

$A=\pi r^{2}$

The area of circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector $A_s$ by a central angle of ∅ degrees

$\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}$

$A_s=\frac{\pi r^{2}}{360^o}{\theta}$

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

$\pi=3.14$

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

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

$A_s=26.7\ cm^2$

The given value of area is not correct

case 4) we have

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

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}$

$A_s=32.1\ cm^2$

The given value of area is correct

5 0

3 years ago

Will give brainliest if answer is correct.

Pachacha [2.7K]

Answer:

Length = 13

Width = 7

Step-by-step explanation:

Given:

length = 2(width) - 1

Area of a Rectangle = lω = 91 cm²

Calculation:

Area of a Rectangle = lω = 91 cm²

(2ω-1)ω = 91

= 2ω²- ω - 91 = 0

=(2ω+13)(ω-7)=0

ω = -6.5 ω=7

length = 2(width) - 1

l=2(7) - 1

l = 13

7 0

3 years ago

Read 2 more answers

Evaluate for m 32, n = 2, p = 8 and r = 4 (np + r) m​

Evaluate for m 32, n = 2, p = 8 and r = 4 (np + r) m