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3 years ago

What is the area of this parallelogram?

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Answer:

30.6

Step-by-step explanation:

Area of Parallelogram = base x altitude

base = 6.8

altitude = 4.5

6.8 x 4.5 = 30.6

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What is one way that oak trees can spread to different areas

crimeas [40]

By dropping acorns, and spreading them to other areas by animals and wind.

7 0

3 years ago

Read 2 more answers

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

What are the domain and range of the function f(x)= x^4 -6x^3 -4x^2 54x -45?

Agata [3.3K]

Domain is the numbers you can use
we can use all real numbers for this one

rangge is the numbers we get from inputting the domain

well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity

find minimum
take derivitive
f'(x)=4x^3-18x^2-8x+54
the zeroes are at about -1.652 and 1.9381 and 4.2145
we use a sign chart
the minimum occurs at hwere the derivitive changes from negative to positive
that is at -1.652 and 4.2145
evaluate f(-1.652) and f(4.2145)
f(-1.652)=-110.626
f(4.2145)=-22.124
the least value is -110.626
that is the minimum

so the domain is all real numbers
range is from -110.626 to infinity

8 0

3 years ago

PLEASE HELP ME GUYS :((

Veseljchak [2.6K]

Answer:

8 - $8\sqrt{3}$

Step-by-step explanation:

For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.

For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is $8\sqrt{3$ . Since this really can't be simplified after y is subtracted from x, the final answer is just 8 - $8\sqrt{3}$ .

7 0

2 years ago

Which of the following reasons can be used to justify statement #3 in the proof?

mixer [17]

c because it is accuet.

hope it helps

7 0

2 years ago

What is the area of this parallelogram? ​

What is the area of this parallelogram?