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3 years ago

1. Identify the parallel lines.

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

1. The parallel lines are m and n

2. The transversal is line t.

3. 8 angles are formed by the transversal.

4. Angles 7 and 5, 1 and 3, 2 and 4, 6 and 8, 6 and 2, 7 and 3, 1 and 5, 4 and 8, 3 and 5, 2 and 8, 4 and 6, and 1 and 7.

5. If m<5 is 110°, then m<1 is also 110°

Hope this helps

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Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.

kenny6666 [7]

$\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }$

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</h3>

Here, we area provided a cone with:

Radius = 48m
Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:</h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

$\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }$

Therefore, Volume:

$\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }$

$\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }$

$\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}$

$\implies\quad \tt {V =3.14\times 768\times 68 }$

$\implies\quad \tt {V = 163,983.36}$

$\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}$

$\implies\quad \tt {V = 163,983.36\times 35.30 }$

$\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}$

‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given cone is 5,790,806.5 ft³.

3 0

2 years ago

Please help!!! I have a chance to get $50 if I get all of these questions right!!

AnnyKZ [126]

Answer:

number 1 is c number 2 is b,c,e number 3 is b

Step-by-step explanation:

1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.

2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no

2*2*2*2=16 yes

4*4=16 yes

8*8=64 no

16=16 yes

3: 3/4*3/4*3/4=27/64

hope this helps! have a nice day!

3 0

3 years ago

Find the value of the missing term. 812, 852, ___, 932, 972 1:892 2:912 3:902 4:872

maks197457 [2]

The answer is 1 because when you subtract 972 from 932 you get 40. Then u add 812 and 40 to see if u get 852 and u do, so add 40 to 852 and you get 892.

6 0

3 years ago

consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is

Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = $3x^2(x-1)=3x^3-3x^2$

Polynomial b = $-3x^3+4x^2-2x+1$

Therefore:

a + b = $3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1$

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol): $3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1$

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

$(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2$ which is indeed another polynomial (this time of grade 6)

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4 years ago

A draw scaling of a parking lot has a width of four inches. If the scale is 1 inch = 8 feet. What is the actual width of the par

IgorLugansk [536]

Answer: 32 feet

Step-by-step explanation:

Since 1 inch equals 8 feet and the parking lot has a width of 4 inches we multiply 8 times 4 giving you an answer of 32, so the parking lot's width is 32 feet.

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3 years ago