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Feliz [49]
3 years ago
12

How much is 2/3 cups plus 1 1/4 cups

Mathematics
1 answer:
Schach [20]3 years ago
5 0
  • Answer:

1\frac{11}{12}

  • Step-by-step explanation:

\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\    \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}

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Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express
blsea [12.9K]

Answer:

Step-by-step explanation:

y^2-11y+n\\=(y-(11/2))^2+n-(11/2)^2

So in order the trinomial a perfect square we need

n-(11/2)^2 =0\\n= (11/2)^2\\n=\frac{121}{4}

When n is equal to this number that we have

y^2-11y+n = (y- (11/2))^2

6 0
2 years ago
Hi there,<br> I need help to solve the perimeter and the surface area of this shape.<br> Thanks!
leonid [27]

Answer:  Perimeter = 6π ≈ 18.84

                         Area = 15π ≈ 47.10

<u>Step-by-step explanation:</u>

This is a composite of a big semicircle with diameter of 10 --> radius (r) = 5

plus a medium semicircle with diameter of 6 --> r = 3

minus a small semicircle with diameter of 4 --> r = 2

Perimeter of a semicircle = \dfrac{1}{2}(2\pi r)=\pi r

P_{big}=\pi (5)\quad =5\pi\\P_{medium}=\pi (3)\quad =3\pi\\P_{small}=\pi (2)\quad =2\pi\\P_{composite} =5\pi+3\pi -2\pi\\.\qquad \qquad =\large\boxed{6\pi}

Area of a semicircle = \dfrac{1}{2}(\pi r^2)

A_{big}=\dfrac{1}{2}\pi (5)^2\quad =12.5\pi\\\\A_{medium}=\dfrac{1}{2}\pi (3)^2\quad =4.5\pi\\\\A_{small}=\dfrac{1}{2}\pi (2)^2\quad =2\pi\\\\A_{composite} =12.5\pi+4.5\pi -2\pi\\\\.\qquad \qquad =\large\boxed{15\pi}

8 0
3 years ago
Pls help this is a major grade
scZoUnD [109]

Answer:

3617.28 mm³

Step-by-step explanation:

The volume of a cylinder is...

V = πr²h

Plug in the values given into the equation

V = (3.14)(12²)(8)

V = (3.14)(144)(8)

V = 3617.28 mm³

7 0
2 years ago
Read 2 more answers
Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)
Molodets [167]

Answer:

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

Step-by-step explanation:

Given rational expression is:

\frac{x+3}{x+2}*\frac{x-3}{x-2}

In the first step of solving the rational expression, we will multiply the nominators and denominators.

\frac{(x+3)(x-3)}{(x+2)(x-2)}

\frac{x^2-3x+3x-9}{x^2-2x+2x-4}

Now we will solve the alike terms.

\frac{x^2-9}{x^2-4}

The product of rational expression is \frac{x^2-9}{x^2-4}

Hence,

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

8 0
3 years ago
4 more than twice the number k is greater than the sum of k and 11
Finger [1]

uttuyuyuioohmotjivjfddlfjibdf

6 0
3 years ago
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