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Degger [83]
3 years ago
9

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

so

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

so

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

so

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

so

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

so

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
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