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Lelu [443]
2 years ago
15

Help The area of a square

Mathematics
2 answers:
Veronika [31]2 years ago
7 0

Answer:

\sf 2551\frac12 \ cubic \ inches

Step-by-step explanation:

volume of a cuboid = width × length × height

Given:

  • \sf width=10\frac12 \ in
  • \sf length=20\frac14 \ in
  • \sf height=12 \ in

Substituting given values into the formula for volume:

\sf \implies volume=10\frac12 \times 20\frac14 \times 12

                  \sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}

                  \sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}

                  \sf =\dfrac{20412}{8}

                  \sf =2551\frac12 \ in^3

DIA [1.3K]2 years ago
3 0

Answer:

2551\dfrac{1}{2}

Step-by-step explanation:

\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in

\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in

Volume of rectangular prism = l*w*h

                                                 = \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches

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PLEASE HELP
poizon [28]
Part A
The given line passes through (-2,2) and it is parallel to the line

4x - 3y - 7 = 0


We need to determine the slope of this line by writing it in slope -intercept form.


3y = 4x - 7


y =  \frac{4}{3} x -  \frac{7}{3}
The slope of this line is
\frac{4}{3}


The line parallel to this line also has slope

m =  \frac{4}{3}


The equation is

y =  \frac{4}{3} x + c


We substitute (-2,2)

2 =  \frac{4}{3}( - 2)  + c


c = 2 + \frac{8}{3}  =  \frac{14}{3}


The required equation is


y =  \frac{4}{3} x + \frac{14}{3}


PART B


The given line is


4x - 3y - 7 = 0




The slope of this line is
\frac{4}{3}


The slope of the line perpendicular to it is

m = -  \frac{3}{4}

The equation of the line is

y =  -  \frac{ 3}{4} x + c




We substitute the point, (-2,2)



2=  -  \frac{ 3}{4} ( - 2) + c


2=  \frac{ 3}{2}  + c



c = 2 -  \frac{3}{2}  =  \frac{1}{2}


The equation of the perpendicular line is


y=  -  \frac{ 3}{4} x +  \frac{1}{2}
6 0
3 years ago
I need help with this question.
Sunny_sXe [5.5K]
A trapezoid is defined as a quadrilateral with only 1 pair of parallel sides. Since your Quadrilateral has 2 pairs, it can't be a trapezoid.
5 0
3 years ago
a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot
Virty [35]

Answer:

2\frac{1}{10} km

Step-by-step explanation:

We are given;

  • The are of a rectangle as 7/10 km²
  • Width of the rectangle is 1/3 km

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           =\frac{7}{10} *\frac{3}{1}

           =\frac{21}{10}

           =2\frac{1}{10} km (improper fraction)

Thus, the length of the rectangular park is 2\frac{1}{10} km

5 0
3 years ago
Find the equation of the median shown:
qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of  this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0
3 years ago
Simplify: (3 √u^2v)(5 √v^2)=
kirill [66]

Answer:  Do you know the values of u and v?

Step-by-step explanation:

8 0
2 years ago
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